diff --git "a/data/dm_maths/full_data_1/10576_11255.jsonl" "b/data/dm_maths/full_data_1/10576_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10576_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let w(f) be the second derivative of -23*f**4\/24 - 211*f**2\/2 + 3*f + 16. Let q(m) be the first derivative of w(m). Let s(a) = -8*a**2. Give s(q(k)).\nAnswer: -4232*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62984 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 1290 = 6*x. Suppose 0 = -7*l + 3177 - x. Calculate the remainder when l is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 5 = -4*l. Suppose -l = -5*m + 3. What is the first derivative of 0 + 0*g + m + 4*g - 2*g wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -0.4, -3\/11 in descending order.\nAnswer: 4, -3\/11, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 11*c - 20. Let t be h(8). Let g(b) = 4*b + 4 - b - b**2 + t*b. What are the prime factors of g(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*k + 228, -4*i + 281 = -3*k - 2*k. Suppose 24*w = 55*w - 34*w + 168. Let z = w + k. Solve 3*y + a - 7 = 0, -2*y + 2*a = -z*y - 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + 7*m**2 - 3*m - 2*m**4 + 9*m**2 - 2 + m - m**2 to the form p*m**3 + k*m**2 + i + l*m**4 + d*m and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/20)\/((-3)\/((-30)\/(-4))). Calculate the remainder when c + 0 - (-78 + (-2 - -3)) is divided by (-1)\/2*(-108)\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -135, -301, -491, -711, -967, -1265, -1611?\n\"Answer: -k**3 - 6*k**2 - 141*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 244?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/9 and 49\/14601136.\nAnswer: 131410224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1311, -4, -5 in ascending order.\nAnswer: -1311, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4)*(-8)\/(-6). Let t be (-18)\/f + -1 + -2. Solve -t*n = -n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 1}. Give prob of picking 2 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3\/14, -31, 1\/2 in decreasing order.\nAnswer: 1\/2, -3\/14, -0.4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 5*n**2 + 2*n + 3. Let j be g(3). Let c(t) = t**3 + 9*t**2 - t + 1. Is 10 a factor of c(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Let n = 1594 - 4784\/3. Sort 3, n, f.\nAnswer: n, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4254111.\nAnswer: 3, 47, 89, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 38 = 35. Suppose -4*z = x*z - 28. Is 152 - (2 + z + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0282804877 rounded to four dps?\nAnswer: 0.0283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.16 - 0.6. Let n = 34266592.55999958 + -34266593. Let r = i - n. What is r rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96786 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2069, 2252, 2433, 2612?\n\"Answer: -w**2 + 186*w + 1884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5450850430 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -779\/3483 - -20\/81. Let j be (1 + -2)\/(2\/4). Let c be ((-2)\/(j + 3))\/(-2). Is c > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4214451 - 1?\nAnswer: 4214450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a92 - 27?\nAnswer: 1a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -31869 divided by 3\nAnswer: -10623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21200 (base 3) in base 14?\nAnswer: -10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/40 - 10*n**3\/3 + 31*n**2. Find the first derivative of r(z) wrt z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 4*a + 3*a + 2*a - 15.\nAnswer: 5*a - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -8110000 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z = -51 - 134. Suppose z*y = q - 39, 4*y + q = 3*y - 3. Let m(f) = f**2 + 8*f + 16. What is m(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33102.57 - -33302. Round i to the nearest integer.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -393*i + 381*i + 29628. List the prime factors of i.\nAnswer: 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*k = 3, -4*k + 7 = 2*g - 7*k. Let p(v) = 2*v**3 + v**2 - 2*v + 3. What is the units digit of p(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 10*c**2 - 32*c - 38. What is the remainder when g(14) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6}. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -12*z. Solve z*n - 2*n = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1048 < -1044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57720978 divided by -28860489.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*p - 90, -2*t = 6*p - 2*p - 150. What are the prime factors of p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014997273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2. Let s(f) = f**3 + 5*f**2 - 13*f - 8. Let r(o) = 6*q(o) + s(o). Let m be r(-12). Solve 0 = -m*u + 5*k - 20, -4*k - 20 = 4*u - 0*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v + 1. Let c be w(-1). Let s(o) = o**2 - 4*o + 2. Let u be s(2). Let t be c + (181 - (1 + u)). What is t rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144612451.\nAnswer: 1144612451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14434840 and 3472.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 2, 5, 3\/4 in increasing order.\nAnswer: -26, 3\/4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -y + 2*y. Let a = 2 + y. List the prime factors of 24*(6\/(-4))\/a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -365 by 73.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - y + 6*y - 925 = 0, -4*y = -u + 190. Suppose 0 = -4*j + 4*q - u + 1186, -1247 = -5*j + 4*q. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2358049?\nAnswer: 2358049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -4 (c) -96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 6*s - 3*h + 4868, s = -3*h + 964. List the prime factors of s.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5*s = -14. Suppose v = 5*h, 3*v - h - 56 + s = 0. What is the remainder when v is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + t + 1. Let w(z) = -18*z - 7*z + 35*z - 7*z**3 + 4 + 4*z**2. Let h(c) = 6*u(c) - w(c). What are the prime factors of h(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 88, 115, 154, 205, 268, 343?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5416616 (base 10) in base 12?\nAnswer: 1992748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 p when three letters picked without replacement from vxaapag.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3743.42 in -5, 5, -4, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 2*x**2 - 5. Let h be r(3). Suppose 4*w + n = -w - 22, -h*w - 14 = 2*n. Let u be (w\/(-27))\/((-9)\/108). Which is greater: -3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79*-0.04056.\nAnswer: 3.20424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 10*k - 7. Suppose y = -0*y. Suppose 0 = -y*p - p + 25. What is the remainder when p is divided by c(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -4*h - 48, 0 = -2*j - 18*h + 15*h - 35 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25381, 25370, 25355, 25336, 25313, 25286?\n\"Answer: -2*l**2 - 5*l + 25388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -20*r + 75. Let m be y(-7). Let x = m + -215. Is x at most as big as 5\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0) + (19 - -8). Let k be (18\/z)\/(2\/6). Suppose 162 = k*w + w. Calculate the highest common factor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -526\/241157?\nAnswer: -526\/241157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/6)\/(4\/(-6)))\/((-2935476)\/8176 - -359)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31396592.000092 - 31396533. Let o = -24 - -83. Let a = o - m. Round a to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290, 578, 866, 1154, 1442?\nAnswer: 1730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4483914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11647, 23063, 34477, 45889, 57299?\nAnswer: 68707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -40*k**2 + 12*k + 12. Let d be w(-1). Let r = 243 + d. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(19) + -2 - 3*(sqrt(19) + -3).\nAnswer: -2*sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -247*p**3*u**2*x**2 + 11*p**3*u - 2*p**3*x**2 - 4*p**3 - 8*p*u*x**2 + 4*u**2*x**2 - u**2 + 2*u*x wrt u.\nAnswer: -494*p**3*x**2 + 8*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 27725 = 4*z - 23968, 0 = 2*m - 4*z + 20670. Let j = m - -14741. What is j rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = 2. Let g(p) = -6*p + 1. Is 7 a factor of g(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32637?\nAnswer: 3, 11, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-114)\/(-108))\/(-19)*-8\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffuffffffffffu. What is prob of sequence uu?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a = -2*p + 30*a + 218, -2*p - a + 202 = 0. Does 25 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2049.5? (a) 0 (b) -38 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 305 = -4*a, 5*a + 3*b - 319 = 46. Is ((-13038)\/(-5))\/(28\/a) + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -206.7, -0.4, 1\/9, -1 in descending order.\nAnswer: 1\/9, 0, -0.4, -1, -206.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -c70c (base 15) to base 9\nAnswer: -63653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0091407 and -0.28.\nAnswer: 0.002559396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 3*u**2 + 4*u + 5. Let h be a(-4). Let y(n) = h*n + 10 - n - 10. Determine y(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 65, 20, 3, -1.1, -1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 165732383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -19. Let b be (6\/14)\/((-4)\/z). Suppose 0*n - n = 0. Which is smaller: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.799 less than 3.79?\nAnswer: 0.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/(-28))\/(((-108)\/(-18))\/42)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b**3 + 81*b**2 + 76*b - 74. Let x(f) = f**3 - 16*f**2 - 15*f + 15. Let y(q) = -2*j(q) - 11*x(q). What are the prime factors of y(-9)?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 4743\nAnswer: 4759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-20)*-5*3\/18\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36451693 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, g: 4}. What is prob of picking 3 d?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4462722, 4462720, 4462718, 4462716?\nAnswer: 4462714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250252*x - q = -250251*x + 22, -4*q - 68 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 194*p**3 + p**2 + 7*p - 10. Let x be h(2). Let m = 2198 - x. What is the highest common factor of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/56819 and -43\/2491919?\nAnswer: 17443433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 39*y**2 - 75*y - 32. Suppose -170 = 94*j + 744 + 2564. What is t(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 2*d**2 - d + 71. Let v(b) = 17*b + 3. Let g be v(3). Let h = g - 54. Does 32 divide u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 140*t**2 - t - 1. Let n be z(-1). Let v = 2 + n. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.112.\nAnswer: -0.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m - 9. Let b be i(7). Solve -3*v + b = -8*v, 3*v = -5*g + 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -474, 5, -2, 2, 306 in descending order.\nAnswer: 306, 5, 2, -2, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a**2 + 4*a + 8. Suppose -39*n + 19*n + 100 = 0. Let k(y) = -4*y**2 + 2*y + 4. What is n*k(m) - 3*f(m)?\nAnswer: m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 - 51 + 3*s**2 + 51 to the form f*s**3 + z*s**2 + m*s + y and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 832207010\/3159 + -263440. Calculate the common denominator of -101\/1755 and k.\nAnswer: 15795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2444 - 4220 = -2*k - 5*c, 0 = 4*c + 16. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - u - u + (-2*u + u + 0*u)*(-1 + 0 - 1) + (2*u - 3*u + 2*u)*(-5 + 0 + 4).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1406, -1407, -1408, -1409, -1410?\nAnswer: -1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5003357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2229 - 2203 = 2*p, -8*o + 2*p = 34 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/18 - (-1)\/2. Suppose 7 = 2*y - l. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2563*f - 112 = -2591*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 14*w**2 + 38*w - 20. Let r be d(-10). Suppose r = 88*l - 79*l - 2925. What is the greatest common factor of 25 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 919820 - 24361023.\nAnswer: -23441203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-84)*(-8)\/10*((-2210)\/136)\/13?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4231, 17005, 38317, 68167, 106555, 153481, 208945?\nAnswer: 272947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 51. What is the second smallest value in 0.03, n, -34?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7344 take away -0.6?\nAnswer: -0.1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -13*v + 10. Let k = -144 + 139. What is the units digit of a(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(392) - (sqrt(392) + sqrt(392)*-1)) + 2.\nAnswer: sqrt(5)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 1:10 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {b: 1, c: 1, e: 1, q: 7, u: 2, i: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 6*w**2 + 4*w + 9. Determine f(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3*0)\/(-2). Suppose g + 3*g - 24 = h. Suppose -d = -g*d + 200. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3296873954*h**2 - 3296873954*h**2 + 6*h**3 + 3*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -157833*d. Let l(a) = 62*a**2. Calculate l(f(p)).\nAnswer: 1544497865118*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v - 1. Suppose 0 = -3*w - 22 + 1. Let s(m) be the first derivative of -2*m**2 + m + 3. What is w*s(c) - 6*f(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d**3*s**3 + 3*d**3*s + d**3 - 141*d*s**3 - 308*d*s**2 - 11*s**2 wrt s?\nAnswer: -42*d**3 - 846*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -21. Let w = 12 - h. Is w bigger than 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**5\/390 - 49*l**4\/13 - 28812*l**3\/13 - 1057*l**2. What is i in v(i) = 0?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2310023020 (base 4) to base 12\nAnswer: 2b70b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + -0.02. Let d = i - 0.01999965. Round d to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/42*-1*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - 4*z**2 + 9*z**2 - 3*z**3 + 3*z**3 in the form s*z + c*z**2 + o*z**3 + t and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 15*p**2 + 18*p - 37. Let q be a(16). Suppose 0 = z - 1 - 2. Sort z, q, 1 in descending order.\nAnswer: z, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-2) - -2)*(-15428)\/9842. Is w != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/8611 and 75\/44398.\nAnswer: 4839382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 6 + 242*v + 14 - 868*v + 0 to b + c*v and give c.\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6481 or 6465?\nAnswer: 6465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 75 = 3*m, b = -360*m + 361*m - 1. Let r = -0.4 - -3.4. Put b, r, -0.2, 2\/9 in decreasing order.\nAnswer: r, 2\/9, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r + 761. Calculate the lowest common multiple of i(19) and 2.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(468\/27)*8\/(-10)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 - 3914*l + 84148. What is x(22)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 2*y**2 + y + (0 + 2*y + 0)*(2*y - y + y) - 2*y**2 - y + y + (-1 - 2*y + 1)*(268 - 268 + 317*y) to the form p*y**2 + w*y + l and give p.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**4 + s**3 - 86*s**2 - 30874*s wrt s.\nAnswer: 36*s**2 + 6*s - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/113 in -5, 3, 8\/869, -2\/5, -4\/7, 2?\nAnswer: 8\/869","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2076 = 7*v. Let f be 1 - -251 - (2 - 0). Let u = f - v. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 4. Let u = -2 - y. Suppose -q = -0*q. What is the third biggest value in q, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.158956 and 3.\nAnswer: 8.158956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 10*y**2 + 6*y + 13. Let x be l(10). Let r = -66 + x. Solve o = -r + 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - (sqrt(80) - -3*3*sqrt(80))) + (sqrt(80) - (1 + sqrt(80) + sqrt(80))*1))*-5)**2.\nAnswer: 2000*sqrt(5) + 200025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 12515*o. Let f(l) = 13*l**2. Calculate t(f(m)).\nAnswer: 162695*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 5*d + 4*d)*((-1 + 0 + 2)*(-2 - 2 + 2) + 1 - 1 - 4 - 4 + 3 + 0).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 731?\nAnswer: 10234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*1*-5)\/((-3*sqrt(66))\/sqrt(6))*-2)**2.\nAnswer: 1900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 618552 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -37*m - 1. Let u(g) = 6*g + 1. What is -l(a) - 5*u(a)?\nAnswer: 7*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 92, 194, 300, 416, 548?\n\"Answer: x**3 - 4*x**2 + 107*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20735403 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**2 - 5*k. Let b be g(5). Suppose 3*y - 47 - b = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20011110112021020 + 12?\nAnswer: 20011110112021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3338815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**5\/12 + 7*n**4\/24 + 3993*n**2. Let t(l) = -11*l**2 - 15*l. Let s = -1 + 6. What is s*r(q) + 2*t(q)?\nAnswer: 3*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*l + l - 13*l + 4*l - 3*l + 0*l + (2*l - 2 + 2)*(4 + 1 - 4))*(3*l - 4*l + 0*l + (2 + 0 + 0)*(3*l + l - 3*l) - 2 + 4*l + 2).\nAnswer: -100*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383 = -17*u + 7132. Suppose 4*z + 5*g = u, 5*z + 131 = -g + 622. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/81, -0.5, -4, 3, -6 in descending order.\nAnswer: 3, 1\/81, -0.5, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -131\/10 (b) 5 (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0241305 and -105244?\nAnswer: 105243.9758695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044781 to the power of 1\/2, to the nearest integer?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 - 9 = 3*n, -23 = -n + 5*l. Calculate the common denominator of n*(-2)\/(-16)*89 and 101\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*h = 511*h + 333*h + 21024 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-23 + (13 - 5) - -15).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 60972302.3 and -0.2.\nAnswer: 60972302.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1762.294nm in centimeters?\nAnswer: 0.0001762294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.58 + 0.42. Which is the smallest value? (a) 0.1 (b) x (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1868 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/1107 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/9*3\/2. Let z be 3*(g + 68\/36)*-3. What is the highest common factor of z and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 4, -15 in descending order.\nAnswer: 4, 1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -9, -77, -215, -447, -797, -1289?\nAnswer: -1947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1879 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, -23, -70, -137, -230, -355, -518?\n\"Answer: -u**3 - u**2 - 23*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10133313 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*t - 111*t = 0. Solve t = c + b + 2, 4*c - 3*b + 18 = -11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 + 2*f - 2. Let h be a(-2). Let j = -7 - -9. Suppose -6*c = -j*c - 20. Which is smaller: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5\/15 - 58*h**4 + 120748*h**3\/15 - 1714712*h**2\/5 - 3592752*h\/5 = 0.\nAnswer: -2, 0, 89, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*f - 3*b - 6, 5*f - 19 = -3*b. Suppose -4*y = -5*y + f, 0 = 3*g + 3*y - 27. Differentiate -5 - s + s**g + s wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3495 and 6632565?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 9:52 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 599072017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -31*q**5\/120 - q**4\/12 + 5*q**3\/2 + 6*q**2. Let x(b) be the first derivative of p(b). What are the prime factors of x(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43949430?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005409788 to six dps.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7344817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**14)**(-41) assuming c is positive.\nAnswer: c**(-574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 18*b + 62. What is the remainder when u(5) is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -151082086*h**4 - 2*h**3 + 139*h - 94362.\nAnswer: -1812985032*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -52*a - 33. Let r(i) = -53*i - 50. Give -3*q(s) + 2*r(s).\nAnswer: 50*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, -2\/19, -5\/7 in increasing order.\nAnswer: -8, -5\/7, -2\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1811713 + 1811711.969943. Let a = 1.03 + d. What is a rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.532178 micrometers?\nAnswer: 6532.178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41991900 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/9)\/((-2)\/(-426))*(-1140 - -1137).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135 - 57. Is d a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16425 at least as big as -16412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 88 - -4?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 4\/13*t**2 - 16\/65*t**5 + 32\/39*t**3 - 16*t - 2 + 11\/78*t**4 - 1\/13*t**6. Determine q so that i(q) = 0.\nAnswer: -2, -1, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 350 + -699\/2. What is the nearest to 2\/5 in 2\/13, 3, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 3*u**2 + 8*u + 11. Let c be s(-5). Determine o so that o**3 - 16*o**2 + 2*o + 2*o**3 + c*o**2 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*w**3 + 173*w**2 - 173*w**2 - 56*w**3 - 612*w**3.\nAnswer: -876*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 1. Let d(o) = -o**2 - o - 2. Let v(r) = d(r) + 6*k(r). Let z be v(6). Let l(x) = -x**3 + x**2 - 1. Is 7 a factor of l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458269668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(120) - sqrt(120)*1) + sqrt(120) + sqrt(120) + -1*1*sqrt(120))\/(((sqrt(96) - -1*sqrt(96)*1) + sqrt(96) + sqrt(96))*2).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 1 + sqrt(637) + (sqrt(13) - (1 + 1*sqrt(13) + sqrt(13) - sqrt(13))) + 0)**2.\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 5:08 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1690 - 78*f - 1690.\nAnswer: -78*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 51*p**2 - 3 + 0 - 52*p**2 + 6*p. Let o be a(5). Solve 0*d + 2*d - o*c = 8, 0 = 3*c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((-3)\/30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65703384 and 1008.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 4. Let l be j(-8). Suppose 4*c - l*i = -28, 5*c = 3*i + i - 36. Let f be (2 + 2)*(-6)\/c. Solve h = -f*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 7 = 28. Let r(c) = 0 + n + 11*c**2 + 3*c + 0*c**2. List the prime factors of r(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + 101. Let l = 100 - p. Let d = 163 + l. Does 34 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**3 + 21*h. Let y(b) = -14*b**3 - 64*b. Calculate 17*m(g) + 6*y(g).\nAnswer: g**3 - 27*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 365 - 254. Suppose -m + 5*s = -f, 0*s = 2*m - 4*s - 198. Calculate the greatest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -18*l + 96. Let o = 141 - l. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -308*y**2 - 30*y. Let l(m) = 134903*m**2 + 13146*m. Calculate -5*l(r) - 2191*z(r).\nAnswer: 313*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**2 - 80*h = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*82738\nAnswer: -49642.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 343*u**3 + 5*u**2 + 5*u - 5. Let x(y) = 1200*y**3 + 18*y**2 + 18*y - 18. What is -18*l(j) + 5*x(j)?\nAnswer: -174*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 4*y + 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 512dd (base 15) in base 11?\nAnswer: 166230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**6\/120 + 2*t**5\/15 + 11*t**3\/6 + t**2. Let m be v(8). Calculate the highest common factor of m and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -43*m - 15922. What is z(-343)?\nAnswer: -1173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*l - 132 + 129, -3*i = l - 22. Sort -168, i, 8, 2 in ascending order.\nAnswer: -168, 2, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + r**3 + 18*r - 4*r**3 - 5*r**2 + 1 - 14*r to g*r + n*r**3 + b + f*r**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133 - -134. What is the closest to 29 in -0.5, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 19*v - 6. Let p(j) = -j**3 + 6*j**2 - 3*j - 8. Let z be p(5). List the prime factors of g(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -543\/5 + 109. Solve r*y - 2\/5*y**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -199*v**5\/15 + 53*v**4\/3 - v**3\/3 - 2447*v**2. What is the second derivative of b(r) wrt r?\nAnswer: -1592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1079*h - 23. Let y(g) = -2*g**2. What is z(y(t))?\nAnswer: -2158*t**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 19 = c, -13*c = -3*r - 20*c + 25 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 315*m**5\/2 - 1270*m**4 - 175*m**3\/2 + 1350*m**2 - 70*m - 80 = 0.\nAnswer: -1, -2\/9, 2\/7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10723*k - 9705*k - 37666 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -190*f**3 + f**2 + 460*f + 459. What is the remainder when 320 is divided by n(-1)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -313720.\nAnswer: 1\/78430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 41 + 1. What is l in 26*l**2 - 16 + 2*l**2 + l - 39*l - d*l = 0?\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-3)*j**(-4\/7)*j)\/((j\/(j*j**(-1\/2)))\/j*j**(4\/3)*j))**(2\/15))**25 assuming j is positive.\nAnswer: j**(545\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*n. Suppose 6*c + 0 - 18 = 0. Solve 2*t + c*t + 20 = n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k = w - 59, 3*k = 5*w - 295. Let g = w + -149. Is g\/(-12) - (-2)\/(-4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**3 + 18*c**2 - 52. Give h(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f - 10. Let u be y(9). Suppose l + 0*l = -u. Is l*((-9)\/2 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11601?\nAnswer: 3, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*b - 11716 + 12871 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 20490*x**3 - 21032945*x**2 + 83886060*x - 83804180.\nAnswer: -5*(x - 2047)**2*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)*k*k)**(-39)*(k\/k**(1\/2))**18 assuming k is positive.\nAnswer: k**(-177\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5\/7 + 6*o**4 + 1101*o**3\/7 - 1212*o**2\/7 - 324*o = 0 for o.\nAnswer: -14, -1, 0, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10110 - 321300211?\nAnswer: -321230101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b**5 + 1\/21*b**7 + 0 + 0*b**6 + 14*b**2 + 0*b**4 + 0*b - 13\/6*b**3. Find the first derivative of x(f) wrt f.\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33122 + -2?\nAnswer: 33120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11415354 (base 6) to base 9.\nAnswer: 608107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 631, 534, 437, 340?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -512 divided by 128.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10*k**2 - 616*k + 5169. What is z(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 13*h**2 - 13*h + 39. Determine c(-8).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.41 + -2.11. Let y = 1.9 + o. Which is the closest to -2\/5? (a) 5 (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*v = 98*v + 60. Which is smaller: 62 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -20*z - 19. Let a be f(-7). Suppose 3*l + 5*c - 903 = 0, -2*c + 180 = l - a. List the prime factors of l.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) 0.023 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9134 + -9134.031. Sort k, 2\/3, 4, 1.6 in decreasing order.\nAnswer: 4, 1.6, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 - 36 - 20 - 33 - 99*o + 90 as c*o**2 + a*o + l and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -16. Let c = -0.88 + -0.12. What is the nearest to c in i, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 183181802?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23228?\nAnswer: 2, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4*t - 56, 0 = 5*r + 2*t + 2*t - 71. Suppose -q + 4 + 1 = z, -6 = 3*q - 4*z. What is the remainder when 3\/(q + r\/(-12)) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 7*j**2 - 7*j + 3. Is h(-7) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/3 - 60) + 54.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3501651090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002022212000 + 12?\nAnswer: -2002022211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -20 - (36 - 30).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1977607.2ns?\nAnswer: 0.00003296012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81.5 - 82. What is the second smallest value in 5, h, -5, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2717144.\nAnswer: -1\/679286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 247908277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 5*d**3\/6 + d**2 + d. Let f be v(6). Calculate the highest common factor of f and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 484*l - 53860. What is q(112)?\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h. Let k be (-46)\/6*(-33)\/11 + -3. Let l(c) = -7*c + 137. Let i be l(k). Let d(y) = 6*y. Give i*d(m) + 15*o(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 12:17 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1506 - 27?\nAnswer: -152d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - 5 - 9 - (1 - 2). Does 14 divide 22\/(-77) - 688\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-5))\/((-6)\/30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2837169.\nAnswer: -2\/2837169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hphh when four letters picked without replacement from tpppphhphhphphp?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39224*b + 39696*b - 11328 = 0 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/8 and 67\/3754063446?\nAnswer: 15016253784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2982*g + 20046. Give m(7).\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -34. Let i be (-22)\/4 + (-1)\/(-2). Let l = i - -4. What is the nearest to l in 5, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21111112021220 (base 3) to base 8\nAnswer: 17151721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - 2 - 12*z**3 + 5*z**3 + 2 as q*z**2 + p*z**3 + n + c*z and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 78155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19913, 79633, 179157, 318485?\n\"Answer: 19902*h**2 + 14*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + k + 35. Let x(f) = f**2 - 11*f. Let w be x(11). Let y be q(w). Suppose 0 = t - 6*t + y. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/(-8)*(-4)\/6. Suppose 5*j + 6*j = -671. Let k = j - -64. Sort k, 0, 5, n.\nAnswer: 0, k, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven tenths of a day?\nAnswer: 95040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -475, -473, -471, -469, -467, -465?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - -96) + 7\/((-35)\/90).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4801, 9611, 14427, 19249, 24077, 28911?\nAnswer: 33751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 571 + 1043 = 0. Factor -14*x**2 + 968*x**3 - 7 + 0*x**2 - i*x**2 - 9 - 144*x.\nAnswer: 4*(2*x - 1)*(11*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 5*r + 2*q - 22, 0 = -4*r - 5*q + 34. Suppose -12*j - r = -14*j. Let f = 7897\/7 + -1126. Do j and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44320 and 398880.\nAnswer: 398880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2402544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -338, -499, -660, -821, -982, -1143?\n\"Answer: -161*r - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102918888 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122003, -122203, -122529, -122975, -123535, -124203, -124973?\nAnswer: -125839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2043, 7, -2, -1 in ascending order.\nAnswer: -2043, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131001 is divided by 137?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2208477 from 0.07.\nAnswer: -2208476.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-11) + 210\/55 + -4)\/((-176)\/968).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7\/6, 1\/8, 22\/13, 135 in descending order.\nAnswer: 135, 22\/13, 1, 1\/8, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290542.\nAnswer: 2, 7, 20753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 34.478?\nAnswer: 34.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let x(i) = 5*i - 4. Let v(n) = 4*b(n) + x(n). Let u = 25 + -19. Let a be 2 + -3 - (-6)\/u. Calculate v(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/7 - 5\/10*-2\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1914 divided by -957.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6337135 (base 9) to base 6.\nAnswer: 200401352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 4880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 65*a**4\/4 - a**3\/3 + 4*a**2 + 2*a. Let j be v(4). Suppose 3702 + 207 = 5*b + 2*t, 4*b - j = 2*t. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 51*g - 2124 = 127*g, 2*o - 1523*g = -1528*g - 66 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1736 bigger than -1732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -10320460?\nAnswer: -10320455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6917.62 - 36.38. Let z = -6936.908 - q. Let c = z - 17. Round c to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2515935775 to the power of 1\/2, to the nearest integer?\nAnswer: 50159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -5*a**7\/24 - 11*a**6\/8 - 53*a**5\/16 - 155*a**4\/48 + 5*a**2\/2 - 2*a. What is n in l(n) = 0?\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r**3 - 2046213568 + 2046213568.\nAnswer: 25*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 8*h - 6*o + 54 = 0, -h - 3*o = -19 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*y - 100, -5*y = 4*l - 2*l + 250. Let b be (-10)\/y - 188001\/5. Round b to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**4 + f**3 + 4 - 127*f + 127*f in the form z*f**3 + b + y*f + v*f**2 + q*f**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -17, -2, -2\/9, -126.8 in decreasing order.\nAnswer: -2\/9, -1, -2, -17, -126.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3029676, -3029671, -3029666, -3029661?\n\"Answer: 5*h - 3029681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 35*i - 10. Let u(y) = 15*y - 1. Give t(l) - 2*u(l).\nAnswer: 5*l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 209 = -111. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:43 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368066 is divided by 860?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 382\/47?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107274598703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 9:58 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-14) + (-99)\/21. Let n(j) = -24*j**2 + 6*j - 7. Let w(t) = -49*t**2 + 12*t - 15. Let p(s) = -9*n(s) + 4*w(s). Is p(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 0*z + 20. Suppose z*n - 8*n = 18. What is the remainder when (-63)\/n*28\/3 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588985.8um to kilometers.\nAnswer: 0.0005889858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*3\/9 + 0. Suppose 2*y - u + 14 = 59, 3*u + 15 = b. Suppose -3*g - a = -35, 2*g + 70 = 7*g + 4*a. Calculate the highest common factor of y and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1.7927.\nAnswer: 7.1708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1007 - 19*n**2 + 515 + 510)*(n**3 + 1 - 1) + 5*n**5 - n**5 - 3*n**5.\nAnswer: -18*n**5 + 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 181747114 divided by 1?\nAnswer: 181747114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(11)) + sqrt(11) - (sqrt(99) - (0 + sqrt(99))))**2.\nAnswer: 84*sqrt(11) + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 + 18 = 0. Suppose 3*t - 2*a + 1 = -1, -t + 4*a = w. Suppose t*z = z - 33. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 8*m**2 + 8*m + 2. Let v be b(-9). Suppose v*x + 9 = 8*x. Let k(i) = 4*i + 4. Determine k(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4124886?\nAnswer: 2, 3, 687481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2721 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 4:02 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-242)*(-2772)\/9.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1380 or -61?\nAnswer: 1380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**3\/2 - 3*y**2\/2 - 2*y - 1572. Let i(v) = 8*v. Give i(h(k)).\nAnswer: 24*k - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1401*t**5 - 4*t**3 - 84*t - 2792*t**5 + 1401*t**5 wrt t?\nAnswer: 200*t**3 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1010 and 1291790.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1077 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -207 - -202. Let m(c) = -c**3 + 24*c - 2. Let p be m(z). Let s be (8\/(-6))\/(2\/9). Sort p, 5, -2, s in increasing order.\nAnswer: s, -2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 21*d**2 - 2*d + 41*d**2 - 32. Is u(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 48*a - 2922. Let t be p(61). Sort -23, t, 10, 0 in increasing order.\nAnswer: -23, 0, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 5*i**3 - 4. Let g(d) = -7*d**2 - 5*d - 20. Let l(b) = 3*b**2 + 2*b + 8. Let q(h) = 4*g(h) + 10*l(h). Determine q(n(a)).\nAnswer: 450*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88170662 and 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -443*p**4 - 244*p - 4 wrt p?\nAnswer: -5316*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**3 - 963 - 1108*z**2 + 1108*z**2 + 2881 - 953 - 965.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129*x**2 + 129*x**2 + 21*x**3)*(-5*x - 6*x - 17*x).\nAnswer: -588*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 - 9*q**2 + 60*q**2 + 5*q**2 - 23*q**2.\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x + 39. Suppose -3*h - h + 28 = 2*u, -3*u = 5*h - x. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*56550\/(-754)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2455*a**2 + 19*a + 69. Is v(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*x**2 + 6*x**2 - 25*x**2 to c*x + j + d*x**2 and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.347*9.\nAnswer: 3.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (8 + 5 + -8)) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbjbjtjjjjbtttbjb. What is prob of sequence jbj?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-30)\/(-21) - 476\/238\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + (-21)\/2)\/((-90)\/(-8)). Sort -5, 0.1, -0.081, d.\nAnswer: -5, d, -0.081, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*b + 29 = -b, -3*b + 3 = 0. Let p be (-1 - 2)*m\/9. Suppose -4*s = -p - 30. What is the lowest common multiple of s and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193, 780, 1761, 3142, 4929, 7128?\nAnswer: 9745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4946875 divided by 3125?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43353 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342957179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 411 divide 10828040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - 3*o + 3*o)*(3 + 5 + 0)*(3 + 2 - 1)*(-8 + 5 + 0) in the form w*o + b and give w.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10*c**2 - 4*c + 15. Calculate v(3).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5406166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125\/3 + -43. Put w, 2\/5, -5 in ascending order.\nAnswer: -5, w, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1\/(-3*2\/(-42)))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128*d - 14.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -73, -185, -353, -583?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from hljlmhlmjjljl.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.33856 micrometers in nanometers?\nAnswer: 96338.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a second in milliseconds?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {m: 7, a: 1, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4 - 8*p**3 - 26*p**2 + 168*p + 441 = 0. Calculate p.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 5, g: 5, t: 7}. What is prob of picking 2 a?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.99672 at least -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0601 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -77761608 divided by -1698\nAnswer: 45796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 133*q - 5. What is x(59)?\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4117 and 12673?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 13*b**2 - 16*b - 20. Let c be a(-14). Let j be (4\/c + -1)*2. Let s = -715 - -711. Sort -0.2, 4, j, s.\nAnswer: s, j, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*y + 0*y + 3*y)*(5*y - 3*y - 3*y) + (-3*y - 6*y - 11*y)*(y - 2 + 2) to the form u*y**2 + i + c*y and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-380)\/(-560) - (-48)\/(-84)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*v = -3. Suppose -v*u - 39 - 441 = 0. Let w = 51 - u. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 1486. Let u(p) = 2*p. Determine y(u(l)).\nAnswer: 4*l + 1486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*p - 0*p + 3*k, k = 3*p - 2. Suppose 0 = -5*r - p*g + 605, -6*g + g = -3*r + 394. Let l = -43 + 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: Solve 108*p - 80 = 116*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:38 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 6. Let c be a(-3). Let n(j) = -j + 13. Let d be n(c). Find the first derivative of -3 - 3*t**d - 1 + 6*t**4 wrt t.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3\/(i**(-10)\/i))\/((i*i*i**15\/i*i)\/(i**(3\/5)\/i)))**(-3\/2) assuming i is positive.\nAnswer: i**(51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: 5 - 12871496.64728\nAnswer: -12871491.64728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152870982.\nAnswer: 2, 3, 11, 31, 74717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*y + 1472 - 1868 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3019202537 to the nearest integer?\nAnswer: 54947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i - 22. Let h be x(-7). Suppose 8*p - h = -61. Let d be (63\/p)\/((-15)\/10). Solve -2*f = -d*f - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*y - 10, 38 - 54 = -4*y + 2*f. What is the smallest common multiple of 296 and y?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 70.3 and 838?\nAnswer: 58911.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s + 39*s + 28*s as r*s + l and give r.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510703774.\nAnswer: 2, 7, 19, 274277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g = 50. Suppose -3*m - 4*i + 34 = 0, m + 5*i - g = -4*m. Let l be 3*(-4 - -2)\/m. Is -2 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-7))\/1 - (-14)\/(-98).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 93 - 189 = 0. What is the least common multiple of l and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35311857 is divided by 5446?\nAnswer: 5439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 7*b**2 - 6*b. Let r be m(-5). Let v = -5422 + 5438. What is the highest common factor of r and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100101100 (base 3) to base 14\nAnswer: -26c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10480, -10539, -10596, -10651, -10704?\n\"Answer: l**2 - 62*l - 10419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/8)\/(6\/(-16)). Let j = -8 - a. Determine h so that 1\/4*h**j - 1\/4*h - 1\/2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -513, -768, -1023, -1278?\nAnswer: -1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 6 + 1 + (7 + 5 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -280 - 464. Let s = -744.393 - h. Round s to two decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 120*n**2 - 589*n - 52. Let q be l(5). Factor 4\/5 - 33\/5*u - 16\/5*u**q + 72\/5*u**2.\nAnswer: -(u - 4)*(4*u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74\/7 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-30)*(-2 - 0)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 8:49 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(110) - ((sqrt(110) - sqrt(110)*-1)*4 + sqrt(110) + sqrt(110)))*-3)\/(-3*sqrt(10)*4 + sqrt(70)\/(sqrt(7)*-4)).\nAnswer: -108*sqrt(11)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4425 - 4389.71. What is g rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 97, 12, -23\/3, -16?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.29464*0.3.\nAnswer: 1.288392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h + 15*h + 14*h)*(-2 - 7 - 3)*(6 - 7 + 17 + (2 + 2 - 5)*(-1 + 1 - 2)) + h + h + 0 + 2.\nAnswer: -3670*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -2\/125, -37, 0.3, -1, 0.\nAnswer: -37, -4, -1, -2\/125, 0, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1331 + 4017. Is (-2)\/9 - f\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-3))\/(-4) - (-1195)\/15. What is the greatest common factor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n**2 + 4*n - 4. What are the prime factors of b(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216915052 rounded to the nearest one million?\nAnswer: 217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 284*w - 7986. What is b(102)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4, -4, -1690.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32343130?\nAnswer: 2, 5, 19, 170227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 + 23*z**2 - 12*z + 15. Let w be i(11). Let k be w*(42\/6 + -6). Let u be 16*1*(-14)\/(-7). Calculate the highest common divisor of k and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v + 6. Let z(n) be the third derivative of -3*n**4\/8 + 11*n**3\/6 - 13*n**2. Suppose -2*u + w + 7 = -0, -2*u = -5*w + 13. Give u*z(c) - 11*s(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 402*k + 406. Let y be o(-1). Solve -5*f = y*i - 25, 6 - 13 = -2*f - i for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -54, -95, -164, -267, -410, -599, -840?\nAnswer: -1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 - 1 - (-1 - -2). Let i(l) = l**2 + 52*l + 345. Let z be i(-7). Solve z = 2*c - h*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 60*j - 480 = 0 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 + a**2 - 5. What is z(4)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w - 12. Let s be f(1). What are the prime factors of -4 + (-2)\/s*(-8 - -857)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 + -106*(-27)\/90. Calculate the greatest common divisor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 e when four letters picked without replacement from {n: 9, e: 11}.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 912, 1289, 944, -123, -1912, -4423, -7656?\n\"Answer: -361*z**2 + 1460*z - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -8*l - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 10:58 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m - 15. Let j = 47 - m. Suppose -2*c = 5*s - 67, 0 = -4*c + 2*c + 3*s + 27. Calculate the remainder when j is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107672569434 + -50692225845. Let j = -56980344226.00000347 + c. Let d = j + 637. Round d to seven dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 0.028 (c) 5 (d) -45985\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53648?\nAnswer: 2, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 divided by -10?\nAnswer: 127\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(12) + (sqrt(12) + 2 - sqrt(12)) + 1*sqrt(108) - sqrt(9)\/(sqrt(24)\/sqrt(8))*-6)*1)**2.\nAnswer: 2016*sqrt(3) + 21312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 2\/5 (b) -12 (c) -0.4 (d) -17 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77679, 77687, 77695, 77703, 77711?\nAnswer: 77719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -2 (b) 6\/19 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344951393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 102*q + 69 - 231 = 0. Factor 0 + 5\/4*c**q + 15\/4*c.\nAnswer: 5*c*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 12) in base 11?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 3*w + 10. Let x be i(7). Suppose 3*g + 1 = -2. What are the prime factors of (-1)\/(g + x\/(-62))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22035, 22033, 22021, 21993, 21943, 21865?\n\"Answer: -l**3 + l**2 + 2*l + 22033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**3 + 4. Let h(u) = u**2 - 5*u - 10. Let y be h(7). Let k = -8 - y. Let z(v) = v**3 + 1. What is k*z(q) + 3*m(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.04966 rounded to 2 decimal places?\nAnswer: -21.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (315 - 21 - 45 + 487)*(-3 + 3 - f) to the form p + g*f and give g.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141596991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 64*t - 800. What is o(29)?\nAnswer: -974","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235442648.\nAnswer: 2, 7, 29, 139, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u**5 + 10*u**5 + 2*u**5)*(2 - 1 - 2) + (-u**2 + u**2 - 2*u**2)*(-3*u**2 + 3*u**2 - u**2)*(3*u + 5 - 5).\nAnswer: -15*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808191 divided by -8.\nAnswer: -808191\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2074, 2083, 2114, 2179, 2290, 2459, 2698?\n\"Answer: 2*g**3 - g**2 - 2*g + 2075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -15. Let x = -251 - -261. Solve 5*t - x = 5*n, m*t + n + n = 31 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1616*i + 27465. Determine h(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ass when three letters picked without replacement from zzwsazczzazwws.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*u - 1 + 2)*(48*u - 21*u + 55*u)*(-3 + 3 - 2*u**2).\nAnswer: 492*u**4 - 328*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2187*r**3 - 3*r - 3*r**2 + r**2 + 2239*r**3 as v + b*r**3 + i*r + z*r**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**7\/6300 - f**6\/450 - f**5\/100 - f**4\/6 - 6*f. Let c(d) be the third derivative of s(d). Factor c(u).\nAnswer: -2*(u + 1)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.29 (b) 2\/11 (c) -2\/9 (d) -3 (e) -680.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = a - 2, 5*k - a = -2*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (49465*m**2 - 49465*m**2 - 118*m**3)*(-3 + 0 + 2) + 0*m**3 - 3*m**3 + m**3 in the form i + h*m**2 + y*m**3 + z*m and give y.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 13292.\nAnswer: 53168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-483)\/3*(-469)\/67. What is the highest common factor of q and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.1 * 139.885\nAnswer: 1133.0685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 equal to 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z*(((z**(-12)*z*z*z)\/z)\/z)\/z*(z**(1\/5))**(-16\/9))**(1\/21) assuming z is positive.\nAnswer: z**(-286\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221163355 to the power of 1\/2, to the nearest integer?\nAnswer: 34945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l. Let h be g(-2). Suppose -h = -u - 5*b, u + 4*u - b = 10. Find the third derivative of 3*i**6 - 5*i**2 - 5*i**6 + 3*i**u wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4700 by 76.\nAnswer: 1175\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 14*z + 46. Let j be p(8). Let g = -161 + j. Let b(l) = -l**3 - 5*l**2 - l - 4. Give b(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 6*n - 2*n + 139*n - 13*n - 43*n + (-2 + 2 + n)*(1 - 4 - 3) as r + m*n and give m.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*f + 0 - 5*f)*(1962*f**3 - 1257*f**3 - 4361*f**3).\nAnswer: 3656*f**4 - 7312*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19375.9999958588 + -19376. Round h to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 59\/5 of a tonne?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75960 and 90?\nAnswer: 75960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1083*n**6 + n**4 - 8*n**3 + 2432*n**2 + 21*n wrt n?\nAnswer: 129960*n**3 + 24*n - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -264c + 18?\nAnswer: -2634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20034 - -19914.21. Let s = d + 121. Let u = 1.1982 - s. Round u to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.723, -420 in ascending order.\nAnswer: -420, -0.723, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -88*-29500\nAnswer: 2596000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 0.6642, 2\/7, -5\/2 in descending order.\nAnswer: 89, 0.6642, 2\/7, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102\/5 - 21. Let x = 140105\/9 + -15567. What is the closest to -2\/5 in -1\/3, x, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.8000003728 + 13.8. Round y to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*i + 385 - 1270 - 3343 = 0 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22368366 divided by 9?\nAnswer: 2485374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-2 - 0) + 4) - 1. Let h be 12*(5 - 2)\/6 - 2. What is the nearest to 0 in -0.2, s, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-65 + 29 + 39)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -70*j. Let d(t) = t. What is -84*d(s) - l(s)?\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*q + 6*q - 15*q)*(1 - 4 + 2)*(0 - 3 + 2)*(0 - 1 - 3)*(0 + 0 + 2) to the form n + c*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 92607*c + 92607*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 + 36*p + 21*p + 22*p + 38*p - 57*p to the form g*p**2 + h*p + m and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1313000 - 4?\nAnswer: -1313004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drrdrrrdrddddrrddrrr. What is prob of picking 4 d?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1.7725?\nAnswer: -3.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*b - 18, 3*b - 2*b = 1. Suppose 2*h = 342 + q. Suppose 6*n - 5*l = 3*n + 103, 5*n - h = l. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30269025 is divided by 553.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 11563?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1413 + 1415. Which is the biggest value? (a) -3\/8 (b) 0.2 (c) g (d) -2 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/8*(-368)\/(-230).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -20*i**2 - 86425*i + 6058545 = 0?\nAnswer: -17561\/4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) - 5*(sqrt(264) - ((sqrt(264)*2 - sqrt(264)) + sqrt(264))))\/(sqrt(32)\/(sqrt(4)*1)))\/(sqrt(27)*-2 + (sqrt(81)\/sqrt(9))\/sqrt(3)).\nAnswer: -6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*n - 3*c + 8 = -186*n, -3*c = n + 2*c - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Let r = 8\/35 + 159\/70. Let w = -13471 - -13470. Which is the second smallest value? (a) w (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - 6*u - 13 + 7 + 0 + 5.\nAnswer: -11*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -6, 28, 110, 258?\n\"Answer: 3*o**3 - 3*o**2 - 8*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -293814 times 7?\nAnswer: -2056698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-15 - -9) + 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 5*w**2 - 3*w**2 - 6*w - 2*w**2 + 2. Let s be q(-6). Solve 20 = -2*a - s*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39.4? (a) 135 (b) 0.5 (c) -4 (d) 1 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/14)\/x**(1\/9)*x\/(x*x**(-12))*x**(-8)\/x assuming x is positive.\nAnswer: x**(337\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59677115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3898037 + 6266882 = -11*a - 692081. What is a rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 7*t - 7. What is o(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {p: 1, f: 2, m: 1, s: 1, d: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 521 = 3*o + 8*w, -861 = -5*o - 3*w. What is the least common multiple of 6 and o?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfa when three letters picked without replacement from orrroafcaararrk?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 17*v + 282 = -15*v, 0 = -o + 3*v - 87. Let m be 427499998\/5 - o\/240. What is m rounded to the nearest 1000000?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 738\/224 - 7 - 0. Let t = -5\/112 + b. What is the common denominator of t and (-2)\/(-3) - (-158)\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297340 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2. Let y(m) = -20 + 92 + 52 - 192*m - m**2 + 192*m. Calculate y(i(n)).\nAnswer: -4*n**4 + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 478, 978, 1494, 2032, 2598, 3198?\n\"Answer: w**3 + 2*w**2 + 487*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) -2\/15 (b) -15\/16 (c) 3\/7 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 2.4 (c) 31\/3 (d) -1\/47 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**7\/840 - y**6\/40 + 3*y**5\/40 + y**4\/24 + 5*y**3\/3 - 7*y**2. Let a(b) be the first derivative of n(b). Give a(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1341 + 3*l**3 + 6*l - 670 - 2*l**4 - 672 - 2*l**2 in the form y*l**3 + b*l**4 + i + k*l**2 + x*l and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 2*b**2 + 2*b - 1. Let s be n(-3). Let a = 0 + s. Suppose 2*d + 20 = 4*z, -9 = -3*z + a*d + 5. What is the remainder when z is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**2 - 472*a - 9024 = 0.\nAnswer: -94, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.550007 litres in millilitres?\nAnswer: 5550.007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -47*f**6\/6 + 2*f**3\/3 - 97*f**2\/2 + 127. Find the second derivative of u(d) wrt d.\nAnswer: -940*d**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g**3 - g**2 + 6. Let p = 6 - 13. Let o(r) = 6*r**3 - r**2 + 7. Calculate p*t(q) + 6*o(q).\nAnswer: -13*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -23*t - 6. Let g be i(8). Let q be ((-2)\/(-20))\/(17049\/(-5682) + 3). Let j = q - g. Which is the closest to 0.2? (a) 5 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2706672 and 6528?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -439\nAnswer: 1\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3079031804.\nAnswer: 2, 23, 1455119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 2*x + 1. Let b be z(2). Let v be (-2 + 1)*1 + b. Let j = v + 1. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 q when four letters picked without replacement from tvvqttsvtvvtqvqv.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 289 divided by 2.\nAnswer: 289\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(2\/13)*v*v**(-10\/7) assuming v is positive.\nAnswer: v**(66\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*q + 2. Let d be (-2 - 0\/q) + 3. Solve -3*y - 7 + d = 3*n, 0 = y + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 6*r + 1. Let j be n(-4). Let o be (0 + 0)\/1 - 24. Let z be o\/(-9) + 3\/j. Which is smaller: -0.2 or z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-9)*(-72)\/(-24). Let l(n) = 5*n - 12. Give l(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 - 11000010111001?\nAnswer: -11000011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090271.\nAnswer: 3, 696757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2524*y + 20*y - 372*y + 26977 + 125451 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8017 * -0.5\nAnswer: -4008.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18)*2\/2. Let l = 47 + -46.9. Sort l, 3, k in decreasing order.\nAnswer: 3, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -702*w + 135*w - 2900*w + (0 + w + 0)*(-3 + 0 + 1) to the form t + c*w and give c.\nAnswer: -3469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 2243494.\nAnswer: 5\/2243494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 22*w**2 + 5. Suppose -3*y = -11*y + 176. Let s be q(y). Solve -h - 15 = -2*x, 3*h = -s*x - 2 + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -2) + -3 - (2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-16) - 226\/(-8). Calculate the greatest common factor of 116 and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 2*z + 2. Let f be t(-3). Suppose o = 49 + f. What are the prime factors of 4 - (-5)\/(10\/o)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 483 and 70?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 + -4.12. Which is the third biggest value? (a) g (b) 4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 5*m + 51 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3) + (-55)\/(-15). Suppose -g*w - 2 = -8. Suppose -8 = -2*k, -b = w*k - 0 - 21. What is the remainder when 37 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*-2*-3 - sqrt(78))\/sqrt(6) + -5 + -5.\nAnswer: -10 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/3)\/((-3)\/(-22)). Suppose -u = -2*p - 2. List the prime factors of 76\/p - (-2)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348, 2749, 9262, 21945, 42856?\nAnswer: 74053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + -94.9999681. Round v to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.078977, -9, 7, 2 in descending order.\nAnswer: 7, 2, 0.078977, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(-11)*(p*p**(2\/3))**(1\/27)*((p*p*p\/(p\/(p\/p**(-2\/5))))**(-5\/3))**(2\/27) assuming p is positive.\nAnswer: p**(-920\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 2. Let m be w(-8). Let r(p) = 4*p**4 + 8*p**3 + 10*p**2 - 6*p - 6. Let c(q) = q**4 + q**3 + q**2 - q - 1. Let g(y) = m*c(y) - r(y). Factor g(h).\nAnswer: 2*h**2*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23987 >= -23770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91863315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35475 and 78?\nAnswer: 922350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-40))\/(-1*(-2)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/10)\/(j**(-5)\/j*j*j))**24\/((j\/j**(-1)*j)**(-2\/41))**(-2\/73) assuming j is positive.\nAnswer: j**(1328832\/14965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -377*s**3 - 74*s + 1 wrt s.\nAnswer: -2262*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 448629001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15500 - -110?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.8 + -3. Let t = -195403\/6 + 32494. Let m = t - -147\/2. Which is the nearest to m? (a) -3\/7 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10662*k**2 + 3*k + 10670*k**2 - 3*k.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by 8?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.256272 hours?\nAnswer: 22522.5792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187451?\nAnswer: 11, 17041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*d + 362 = 26367, -d + 10414 = 2*v. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t - t)*(-3 + 7 - 8)*(-6*t - t + 4*t)*(t**2 - t**2 - 3*t**2) + 0*t**4 - 4*t**4 + 3*t**4.\nAnswer: 35*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.5 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 151 + 271. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 220214434?\nAnswer: 220214440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 2*z**2 + z + 1. Let s(p) = p**3 - p + 1. Give -f(w) - s(w).\nAnswer: w**3 - 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 252 = 2*w. Suppose -5*g = -3*p + 4*p - 186, 2*p = 2*g - w. Let n = g + -18. Calculate the least common multiple of 6 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 4\/3, -1.275?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -9 - -18 - 22.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -85353 (c) 2050\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2. Suppose -23*b + 49 = -20. Let f(q) be the second derivative of -1\/6*q**b + 0 + 0*q**2 + 5*q. What is f(x(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 90? (a) 0.18 (b) 0.03 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 6:59 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/60 + 5*m**4\/6 + 19*m**3\/6 - 240*m**2. Factor d(j).\nAnswer: (j + 1)*(j + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 8) to base 12\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*u - 0. Suppose -5*r = 4*p, -u*p + 4*r + 21 = -2*p. Suppose -3*w - 2*n + 13 = 0, -4*n - 3 = -p*w + 4. Sort -11, w, 5 in decreasing order.\nAnswer: 5, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -24, -49, -76, -105?\n\"Answer: -a**2 - 20*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212452131 (base 6) to base 11.\nAnswer: 78a9436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(((sqrt(60) + sqrt(60)*-2)\/sqrt(12))**2 + 3) + -2*(-1 + 1*(sqrt(320)*-2)**2).\nAnswer: -2595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8\/3)*c**10)\/(c**5\/((c\/(c\/c**(7\/5)))\/c)) assuming c is positive.\nAnswer: c**(41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327239 = -2709*g - 1180*g - 58898 for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -2. Let x = -74768 - -74793. Is x greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 14*s = 13*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1329184kg to nanograms.\nAnswer: 132918400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 3. Let r(h) = -4*h - 6. Let n(d) = 6*r(d) + 13*v(d). Let b = -14 - -7. Let m(l) = -6*l - 10. Determine b*n(a) - 2*m(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 19 = -1. Suppose -y = t + k*y - 15, 4*y = 12. Suppose t = -4*w - w + 90. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 62*z**3 + 3660*z**2 + 116*z - 109. Determine s(-59).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 1094*f**2 - 1160*f - 71193. Give a(-1095).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1840 and 192.\nAnswer: 22080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from {v: 3, q: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*j - 2*a + 8, -4*a + 4 = 2*j. Let k = -9941 - -9945. Solve k*f = j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0206691 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2251435 (base 8) to base 11.\nAnswer: -388147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**2 - 46493130*l - 108080556859845 = 0?\nAnswer: -4649313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -182079*h**3 + 23290*h + 2 wrt h.\nAnswer: -1092474*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12581*-112.\nAnswer: 1409072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 + 6*f**2 - 5*f - 5. What are the prime factors of r(-5)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((0 - 0) + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = -2*g, -2*q + g - 6 = -0*g. Let d = 6 - q. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -599*b + 595*b + 2*j + 18 = 0, 2*b - 5*j = 29 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*z + q - 12 = 191*z + 3*q, 3*z + 3*q = -3*q - 96 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3573\/8 + -445. Find the common denominator of z and -2*(1020\/(-56))\/(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 19*g - 16*g, -3*i - 3 = -4*g. Suppose q + i*q = r + 575, -5*q = -4*r - 716. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (1 + 1 - (578 - 565)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyyqqqy. Give prob of sequence qyeq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -216216200*b + 443415986 wrt b?\nAnswer: -216216200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from cybxbkdc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 6685, 82?\nAnswer: 6685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10318 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 44 = 3*w, 0 = 3*o - 4*o - 2*w + 8. Suppose -3*p = s - 12, 0*p = 4*p - o. Solve 2*t + 5*u = 27, -5*t - 5*u + 11 + 19 = s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1208*w**4 - 17072*w + 4124*w**4 + 17072*w + (0*w**3 - 4*w**3 + 3*w**3)*(-w + 1 - 1) + 0 + 0 + 2*w**4.\nAnswer: 5335*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**2)**(10\/9)*n**(-2\/11)*n**(2\/11)*(n*n\/n**(2\/3))**16*(n**(-2\/3))**(-26) assuming n is positive.\nAnswer: n**(338\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 16 = -c, 12 = c + 6*p - 2*p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -v + 2*v, 3*v = -2*q - 6. Suppose -5*h + 4*b + 12 = -2, 0 = q*h + 3*b - 3. Let l(r) = 170*r**2 - r + r - 99*r**h. Let d(a) = -a. What is d(l(j))?\nAnswer: -71*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 595.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*s**4 - 38*s**2 - 19*s**4 + 9*s**4 - 2*s**4 - 2*s**2 + 2*s**2 + (-2*s**3 + 3*s**3 + 0*s**3)*(-s - 3*s + 3*s).\nAnswer: -4*s**4 - 38*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -337.52333 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.6300977 kilometers?\nAnswer: 630097.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z. Let r be k(-1). Let y be r - -4*3\/6. Suppose y*n = -0*n + 155. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2*a = 14, -6*p + 4*p = -4*a - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p - 18*p**2 + 9*p + 2*p - 4 + 12*p = 0?\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*1*sqrt(17).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.0103, 0.5, -1\/27, 2\/7, -1\/4?\nAnswer: -0.0103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28a64c6 + -4?\nAnswer: 28a64c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 4*y + 1 - 3*y)*(-167*y + 167*y + 73*y**2).\nAnswer: 146*y**3 + 73*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, p: 3, o: 2, n: 2, j: 2, g: 1}. What is prob of picking 1 p, 1 j, 1 g, and 1 n?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(833)*2.\nAnswer: 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 35*t**2 + 6*t + 5. Let a be b(-17). Let w = -384 - a. Factor 0 - 44\/13*j**w - 16\/13*j - 10\/13*j**3.\nAnswer: -2*j*(j + 4)*(5*j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b1949 (base 16) to base 14\nAnswer: -14d10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 4*r + 5*r)*(359*r**3 + 4287*r**3 - 1647*r**3 + 1897*r**3).\nAnswer: 9792*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9691974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-8) + (-105)\/(-24). Suppose a*s - 12 = 2*s. What is the highest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 0*x**2 - 11*x**3)*((4*x + 0*x - 6*x)*(-2 + 6 - 5) - 1 + 1 - x).\nAnswer: -11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m. Let y be t(-3). Let o be -1 + 12*2 - -2. Let b = o + y. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118596 is divided by 23501.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((1 - 2) + (3 - (-4 - -6)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1216 + 1228. Calculate the lowest common multiple of 24 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(4\/(-20 - -4)). Suppose -503 + 2179 = j*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-one fifths of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 1, v: 3, m: 5}. Give prob of sequence vz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*z + 210 + 330, 2*x = 5*z + 360. Suppose 4*q - x = 980. Suppose c = -c + q. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190700 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - 1)*1\/14. Let p = 1118 - 1116.3. Which is the third smallest value? (a) r (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {j: 2, y: 1, z: 4, u: 3, n: 6, k: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 1, 3, -3, 29 in descending order.\nAnswer: 29, 3, 1, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 1232?\nAnswer: -1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -12\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 - 2 = -2*h, 0 = -2*h + 3*w - 5. Factor 20*v**3 + 1 + v**2 + 10*v + 33*v**2 + v**h - 6.\nAnswer: 5*(v + 1)**2*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -217*f**3 + 2*f**2 + f. Let m = -85 + 84. What are the prime factors of u(m)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -2*r**5\/15 + r**4\/12 - r**3\/6 + 3*r**2. Let c be u(1). Let i = 12 + c. Solve 2 = -w, -5*n + 3 - 8 = -i*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3 - 205401*t**2 - 3508906533*t + 236019685089 = 0. What is t?\nAnswer: -34267, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 6*y - 5. Let p = -6 + 12. Give c(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 9, b: 3}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309630 is divided by 637?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -610001*c**2\/2 + 10*c + 3. Let f be m(10). What is f rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 17174.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**3\/3 + 9*d**2\/2 - 6*d + 27. Let v be 8 + 2 + -1 - 1. Give g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.3 - -133.3. Let o = w - 115.84. Let g = o - -0.74. Is g greater than or equal to -10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 0. Suppose 4*j = -0*j + 360. Suppose -3*s - 3*m + 4*m = -j, 4*m = -h. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = 4*a + 280. Let t(p) = 40 - a - 11 + 7*p. Determine t(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0 + 3*j - 1 + 4 in the form w*j + c and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) -2 (c) 5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198800 rounded to the nearest 10000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42956957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 34 (b) 0.09 (c) -3\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/7 - 4\/7. Let v be (625\/40)\/(-5) - (-3)\/24. Which is the biggest value? (a) 2 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, c: 6, d: 2, j: 1, o: 3}. What is prob of sequence dvj?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8824 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(((-9)\/(-3))\/87). Let y = s + -16. Let t(x) = -x**2 + 15*x + 69. Let c be t(18). Is c at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, u: 2, b: 3, d: 1, v: 1, f: 3}. What is prob of sequence fvfu?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 - -134. Suppose j = 5*o - 3*j - w, 5*j = 0. Solve 2 = -r - 4*f, r + 3*f = -4*r + o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.141*0.9.\nAnswer: -0.1269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uliwwihii. What is prob of sequence ulh?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*f + 93*f - 156 = 45*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 888 = 134688. Is j a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30504151882 and 1635.\nAnswer: 30504153517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1841 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 378\/(-28)*101210\/(-9423).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2153746 to the power of 1\/2, to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 617417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by -12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 - 6*h - 4. Let o(s) = 7*s**2 - 11*s - 8. Let a(k) = 5*b(k) - 3*o(k). Let r be a(3). Suppose 0 = 3*y - r*y + 3. Solve -t - 6 = -y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49140\/(-546))\/(54\/72)?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/16 in -2, 3, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 759\/5125 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(252) + sqrt(7) + -5 + -5*(sqrt(7) - (sqrt(7) - sqrt(49)\/sqrt(7))).\nAnswer: -8 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l + 19*l = -1792. Calculate the smallest common multiple of l and 8.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022 - -22202200?\nAnswer: 22212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16416593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 648456726 - -0.26\nAnswer: 648456726.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/45)\/(o*o**(1\/55)))\/((o**(-29)*o)\/(o*o*o**(-4\/7)*o)) assuming o is positive.\nAnswer: o**(20366\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48\/7 - 169\/28. Find the common denominator of v and 67\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -4 (c) -2 (d) -1562 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19304586?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = m + 9, 3*m = -2*b - 137 + 114 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + 0*n**2 + n**2 + 0*n**2 + 8*n as f*n + z*n**2 + r and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/3 + 56*i**3\/3 - 148*i**2 + 728*i\/3 - 338\/3.\nAnswer: -2*(i - 13)**2*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012222022212020 - 22?\nAnswer: 2012222022211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1311 (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 4*f - 26. Let c(w) = 4*w**2 - 6*w - 55. Let m(h) = -6*c(h) + 11*d(h). Calculate m(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 41*g - 144. Give p(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from ququqgq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**2 - 117329*k + 57105949 wrt k?\nAnswer: -4*k - 117329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 8*q + 42. Let b be p(0). Suppose 77*k - 8*k = 1932. What is the greatest common divisor of b and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015948026 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -801027, -1601886, -2402745, -3203604, -4004463, -4805322?\n\"Answer: -800859*w - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2*2\/24). Let u(m) = -m + 1. Let b be u(j). What are the prime factors of 1\/(-3)*b*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 426 - 215. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101530 and 338741.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/7 - (-19)\/7. Suppose -2*q + d*z + 82 = 0, z + 43 = q - 0*q. What is the remainder when q is divided by 11\/(6 - (-3 - -8)) - -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8046086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n = 34*n - 3*o + 2438, -o - 1964 = -4*n. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r**2 - 10*r + r**2 - 2753*r**3 - 2670*r**3 + 5248*r**3 - 12383 wrt r?\nAnswer: -525*r**2 - 2*r - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 12*n**2 - 12*n - 14. Let s be c(-11). Let b(u) = 2*u**2 + 4*u + 2. Let p be b(s). Suppose -g + 14 = -p. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b + 26?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129 or 4362?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-50))\/(-2*1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326699.962 rounded to the nearest 10000?\nAnswer: 1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/8450 and 79\/341380.\nAnswer: 1706900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/91 + 103\/273. Which is the second smallest value? (a) i (b) 8 (c) -5 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 7.7. What is the second smallest value in g, 2\/15, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 271637, 1086524, 2444669, 4346072, 6790733, 9778652, 13309829?\n\"Answer: 271629*b**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f - 25*f = 58. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2487 - -1505. Let u = -502 - c. Calculate the greatest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244817939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-1692)\/(-1880))\/((-2)\/4))\/((-3)\/45)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 4*f - 4. Let u(j) = -j + 7. Let a be u(3). Let x(h) = h + 3 + h**3 + 0 - 4 + 0*h**3. Calculate a*x(c) - t(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/(-4)*(-4)\/(-6). Suppose 0 = 5*n - 4*f + 16, b*f = -0*f + 20. Let i(j) = -j - 3 + 2*j + 6. What is i(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*o + 4*o = -8, 0 = -5*j + 2*o - 34. Let k be 20\/j*42\/(-35). Suppose -4*g = 2*v + 3*v - 209, 0 = 2*v + k*g - 86. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39341 or -39346?\nAnswer: -39341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11*a - 10 - 22 - 5 - 8 - 4*a. Give y(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 14, -2, 0 in decreasing order.\nAnswer: 54, 14, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 206?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pyxdydypddpdwpdw. What is prob of sequence yppp?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u = 218166 - 80688. What is the thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49725535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8494574.\nAnswer: 2, 11, 386117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 12*h**2 + 1. Let l be o(-1). Let i = l + 9. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -310 equal to -310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 9. Let w be k(-5). Let u = -0.079 + -7.221. Let a = u - -7. What is the third smallest value in a, 3\/7, w?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 plus -135009801?\nAnswer: -135009802.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 2. Suppose 0 = 3*t - 3*w - 9 - 6, -2*t + w = -7. Let s(r) = -2*r + 2. Calculate t*s(q) + 3*h(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2939, 3117, 3419, 3857, 4443, 5189?\nAnswer: 6107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6402*5027.\nAnswer: -32182854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**4\/4 - 6*n**3 - 27*n**2\/2 + 13554*n. Determine x(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 164*n + 20687. What is x(-85)?\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1522 + -513. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2754*x**2 - 893*x**2 - 928*x**2 - 912*x**2 + 355*x to y*x**2 + z*x + k and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -4 - 1*(-30)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**4 - b**3 + 3*b**2 - b + 1. Let m(j) = -9*j**4 + 7*j**3 + 7*j**2 - 5*j + 5. Let k(c) = -5*l(c) + m(c). Solve k(d) = 0 for d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 526101290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3867392 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: Evaluate (8\/511)\/(3520\/6160).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*v - 14, i - 3*i - 7 = 3*v. Let q be (-24)\/(-2)*(15\/6 + v). Let p(j) be the first derivative of j**3\/3 + 5*j**2\/2 + 7*j - 2. Calculate p(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -31*j**3\/6 + 9*j. Let k(g) be the second derivative of 0*g**2 + 0 + 0*g**3 + 26*g + 1\/6*g**4. Give k(n(t)).\nAnswer: 1922*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 187 + -101. Suppose -i = -3*i + 5*f - c, -4*f + 49 = -i. Let t be (-6)\/(-14) - i\/21. Solve 4*y - 10 = -5*r, -t*r + 4*r = -y + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.56 - -8.77. Sort 2\/7, m, -2\/19, 0.4.\nAnswer: -2\/19, m, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 0*p**4 - 1\/10*p**5 - 2\/15*p**6 + 3*p + 0*p**2 + 0*p**3 + 0 - 1\/21*p**7. Factor r(o).\nAnswer: -2*o**3*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 27*o**2 + 71*o - 21. Let w be v(-3). Solve 6*h = -w + 51 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7012582708.\nAnswer: 2, 9743, 179939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 3, 35, 3557, 19 in ascending order.\nAnswer: 0, 3, 5, 19, 35, 3557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*sqrt(30))\/sqrt(6) - (-1 + sqrt(605))**2).\nAnswer: -3636 + 138*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Let z(y) = y. Let n be z(-5). Sort -1, x, n in descending order.\nAnswer: x, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*k + 6, -3*w = -0*w + k + 46. Let c be 11\/(-22) + w\/(-12). Find d such that 0*d**2 + 0 + 0*d + c*d**4 - 4\/3*d**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 6*b - 14*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 26. Let q be l*1 - (-48)\/(-15). Let n be 1\/(-3) + (-11)\/3. Sort -0.3, n, q.\nAnswer: n, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79591355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 5199 (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 7*f**3\/3 - f**2\/2 - 83*f. Give t(-3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8b30 (base 15) to base 14\nAnswer: -aa88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.151, -0.0396, -0.3, 4\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17210149 is divided by 96.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(3087) - sqrt(3087))**2 - (1*sqrt(448) - (5 + (sqrt(112))**2)))*4.\nAnswer: -32*sqrt(7) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.51 + -1.792. Let w = 0.71800585 - z. What is w rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - w - 299 = 89, w = -4*p + 522. Let c = 517\/4 - p. Let h = -2 + 7. Put c, 3\/2, h in descending order.\nAnswer: h, 3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 3:22 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 - 183 = 6*n. What is the smallest common multiple of 1 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-12))\/(5\/12))\/(94\/(-470)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3643 (base 16) to base 9\nAnswer: -21044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*h - 16858 + 604 = 0. What is the highest common divisor of h and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54619, 71554, 88489, 105424?\n\"Answer: 16935*q + 37684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*f + 38, -4 = f + 1. Let t = p - 4. Let r be 1*(-2 + 6) + 0. Solve -t*s - 2 = r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10578 divided by 96.\nAnswer: -1763\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-4 + 1 - 2) + (-19 - 5 - -17).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(33)\/((2*sqrt(33))\/sqrt(11) - sqrt(3)) + (sqrt(11) - (sqrt(44) + 0))*-1.\nAnswer: -1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 58, -1\/19, -0.09, 5, -1\/11 in ascending order.\nAnswer: -4, -1\/11, -0.09, -1\/19, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -12*g + 9. Suppose g*z - 273 = -5*k, -176 = -5*k + 5*z + 104. What is the third derivative of -k*h**2 + 0 + 0 + 16*h**5 + 18*h**2 wrt h?\nAnswer: 960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 w when four letters picked without replacement from cwbcbbbbbbbcwbcbbbbw?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -2*p**4\/3 - 2*p**3 - 17*p**2. Let g be m(-2). What is the greatest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q + 4 = 0. Let z be 6\/(-6*q)*1. Which is smaller: -2.2 or z?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121.19 + -2.81. Let l = 123.97 + x. Let j = -38.9 - -39. Which is the nearest to 0? (a) j (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -235, -546, -1091, -1888, -2955?\n\"Answer: -3*b**3 - 99*b**2 + 7*b - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 11*w - 3. Let h(y) = 5*y - 1. Let r(b) = -5*h(b) + 2*p(b). Let q be r(1). Suppose 6 + 4 = 5*k. Sort 1\/8, k, q in descending order.\nAnswer: k, 1\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.534 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 2 - (-4 - (-66)\/26). Let w be (-6)\/(-3) - (3 + 1). Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-181200)\/40)\/(-2*1). What is w rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 8 = 0, v + 12 = -4*q - 2. Let d be (v\/4)\/((-1)\/(-2)). Differentiate 0*j**3 - 2 - 4*j**3 + 3 + d wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13015 + -39?\nAnswer: -13054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k + 22. Let m be a(4). Let l = -2.3 - -0.1. Is m less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1147918.3 and 0.3.\nAnswer: -1147918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 425.3 - 425. Let h = 0.28 - v. Which is the nearest to -0.1? (a) -3\/2 (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = y + 5*f, 3*y - 2*y - 3*f = 15. Suppose 3*b = -k + 23, -5*k + 2*b + y = -3*b. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.962 + -15. Let m = r + -8.162. Let f = -8 - m. What is the second smallest value in -0.4, -1\/6, f?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/30 and (-10)\/65 + 913*1\/273.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 279, 443, 625, 825, 1043, 1279?\nAnswer: 1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -169361?\nAnswer: -12\/169361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 67706.48 decades?\nAnswer: 677.0648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-5)*z*z**(-39))\/(z**19\/(z*z**34*z)) assuming z is positive.\nAnswer: z**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-4 + 1) - (-17)\/(-7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 12:42 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7008993 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114123 + 13014?\nAnswer: -101104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 3070690046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -517500, -1035015, -1552534, -2070057, -2587584, -3105115?\n\"Answer: -2*l**2 - 517509*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/8050 and -71\/4667250.\nAnswer: 107346750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54, -38, -18, 6, 34?\n\"Answer: 2*v**2 + 10*v - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 91 + 176 = -211. Calculate the remainder when 183 is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 5*a - 1 = 0. Let x(t) = -20*t**3 + 2*t**2 + 2*t + 1. Let f be x(a). Suppose 4*z - 5*z + f = 0. Solve -5*m + 4*w = -6*m - z, -4*m + 4*w = 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74 - 72) + 56 - (-3 - 0 - (-15 + 4)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, r: 1, e: 6, m: 2, z: 3}. Give prob of picking 1 z and 1 e.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**3\/6 + k**2\/2 + 11*k. Let c be a(-3). Solve -12 + 0 = -c*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*d + 7, -5*p - 5 = 5*d - 0. Suppose 3*n - 2*o = -33, -p*o - 9 = 3. Let g = 6 - n. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -597, 3\/5, -0.1, 5, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + u**3 + 0*u**3)*(-44 - 48 - 6).\nAnswer: -98*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 560203 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: What is the highest common factor of 1618 and 5065149?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 10*m = -30. Solve m*o - 3 = -7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4 + 135*u**3 - 8502*u**2 + 82080*u + 199200 = 0.\nAnswer: -83, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23702 or 23710?\nAnswer: 23702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -185*k**3 - 153*k + 4. Let p(t) = 185*t**3 + 152*t - 3. Let w(x) = -3*d(x) - 4*p(x). Find the second derivative of w(y) wrt y.\nAnswer: -1110*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -u - 0. Let x = -994 + 962. Let z be 1\/u + 120\/x. Is z > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2648028g in milligrams?\nAnswer: 264.8028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 + 1225*v + 299. Let u(q) = -612*q - 150. Let o(r) = 2*b(r) + 5*u(r). Factor o(z).\nAnswer: -2*(z + 76)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 17. Suppose 3*s + l = 4*q - 1, q = 5*s - 7. Solve s*m = -5*a - 0*m + 23, 4*m = 4*a + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 145?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87446159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4 - 37601 + 37601 - 12*y**3 + 12*y**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x - 315473*x**3 - 10*x.\nAnswer: -315473*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 727\/7 + -104. Let s = -44.7 + 39.7. Which is the second smallest value? (a) s (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g - 7. Let u(r) = 10*r - 9. Determine 5*c(z) - 4*u(z).\nAnswer: -15*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 75\/11 + 4\/22. Suppose 6*g - n*g + 2 = 0. Let l(d) = -7*d**g - 2*d + 2 - d**3 + 7 - 16. Give l(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7402572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -123*a + 3198. What is v(26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -67049\nAnswer: 67049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6*d**4)**(5\/3))**(-25) assuming d is positive.\nAnswer: d**(-1250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -48*h**3 + 4824*h**2 + 2421*h + 303 = 0?\nAnswer: -1\/4, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {f: 4, n: 1, e: 6}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s**3\/13 + 1322*s**2\/13 - 1642*s\/13 + 328\/13 = 0 for s.\nAnswer: 1\/4, 1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/390 and 8\/351.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1062\/2655)\/(-3*(-2)\/45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3219142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 19*f**2 - 24*f - 24. Let y(w) = -12*w**2 + 15*w + 15. Let v(m) = -5*h(m) - 8*y(m). Let q(i) = 26*i + 13. Determine q(v(c)).\nAnswer: 26*c**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l + 10*l + 8*l**2 + 1 - 15*l. Calculate the remainder when t(-2) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4910*j**4*n + 131*j**4 + 48286*j*n + j + 86*n - 2 wrt j.\nAnswer: -58920*j**2*n + 1572*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (sqrt(5) + sqrt(245) + 2)) + -3)**2 + -1 + -2 + sqrt(80).\nAnswer: 74*sqrt(5) + 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.033 + 3.067. Let s = p + -0.1. Let h = s - 2.9. Sort -1, -1\/8, h.\nAnswer: -1, -1\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3685401 to the nearest integer?\nAnswer: 1920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 + 26*m + 1251\/5.\nAnswer: -(m - 139)*(m + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -39*(-81)\/(-685503)*28\/8\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13690031.29 to the nearest 1000.\nAnswer: -13690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 36478 divided by 1\nAnswer: 36478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + 4*w**2 - 2*w**2 + (w + 2*w + w)*(-4*w + w - 2*w)*(-7 - 1 + 4)*(3 - 3 + 4) + (-1 - 1 + 1)*(-5*w**2 - 2*w + 2*w) + 3*w**2 + 3*w**2 - 5*w**2.\nAnswer: 328*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h + 8. Let r = h + 4. What is the third derivative of 2*q**2 - 4*q**6 + 3 - 3 + 0*q**r wrt q?\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*a + 2*i, -i - 82 + 86 = 0. Let w(x) = -3 - 3*x + x + 15 + 15. Determine w(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 1\/3*m**4 + 4 + m - 7\/2*m**2 + 0*m**3. What is the first derivative of i(f) wrt f?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 529 - 1603. Is c at least as big as -540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18251375 - 1263541?\nAnswer: -19514916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 8*o = -11*o - 81, 5*l = o + 419. Let g = -83 + l. Is g <= -144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -52, 4\/5, 2\/7, 5951, -4, 1\/6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*k + 330590 = 340093 for k.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.6 + 7. What is the biggest value in -2, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 s, and 1 z when three letters picked without replacement from {z: 1, s: 1, h: 1, c: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a. Suppose a = 2*c - 530 - 364. Suppose c - 3117 = -6*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 17 - (517 + -476).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1749 + -3399\/2. Let n = -57\/2 - -29. Find the common denominator of h and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104 by 1.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -17, 1\/15 in descending order.\nAnswer: 0.3, 1\/15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 14 = -5*f, -4*f = -0*f - 5*t - 18. Suppose -y + 2361 = f*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l + 3*j + 151 = 0, 3*l = -5*j + 411. Solve -11*v + l = 76 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*1\/8 - (-45)\/30.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -15, -22 = -2*h + 4*p - 0*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.6 - 6. Let d = -3764 - -30115\/8. Let n = 0.2 - 0.7. What is the third biggest value in w, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 27*h**2 + 56*h - 65. Calculate c(-29).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*z - 3*d - 25 = 0, 5*z = 2*d - 15. Put z, 5, 3 in descending order.\nAnswer: 5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 46*f + 450. Calculate x(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 - 12*d - 12. Let u be q(-1). What is the closest to 2\/23 in -2\/15, -3, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 30783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -19. Let n = 2 - r. Let h(g) = -3*g**3 - g**2 + 2. Let i(b) = 7*b**3 + 2*b**2 - 5. Let u(c) = n*i(c) + 10*h(c). Factor u(y).\nAnswer: -2*y**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 7*t - 21. Let b = 591\/3926 - -1\/302. Put b, t, -1.9 in ascending order.\nAnswer: -1.9, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3109161\/14 + 222224. Let v = s - 138. Find the common denominator of v and 67\/96.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of -146*(-2*4\/16 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 1440.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 39*n - 57. Give m(38).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a\/a**(-7))\/a*a)\/(a**(-14)*a)*(a*a*(a**0\/a)\/a)**(2\/111))**(6\/7))**38 assuming a is positive.\nAnswer: a**(5244\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or -600?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 188850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 43 - 5)*(9062 - 9062 + 63*y) + 0*y - y + 3*y to s*y + b and give s.\nAnswer: 1262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. Suppose -5*w + 68 = 3*c, -5*c + 5*w = q*w - 76. Suppose 6*b - 2*b = c. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 g, and 1 q when three letters picked without replacement from pqqqqpppqqqqqngngn.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3*(-3)\/9)*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + 971. Suppose -3*w = 2*o + 2*w - 496, 4*o - r = -2*w. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2563 and 781.\nAnswer: 181973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 4*d - 42 = 0. Let i = 26 + d. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 1138.\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116*j**2 + 24828*j - 24944.\nAnswer: 4*(j - 1)*(29*j + 6236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 918*w\/5 + 938\/5.\nAnswer: -2*(w + 1)*(10*w - 469)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - n**2 + n + 2. Let s be b(-1). Let x = 391\/1634 - 7\/86. Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 237 - 249 = 0. Which is the smallest value? (a) 0.3 (b) s (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.98 - -0.02. Let x = 20.2 - v. Let k be 4 + 260\/(-44) - -2. Is x less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5 + 11 + 24 - 19*s - 13. Is 16 a factor of t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4171677 is divided by 120?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 53 = -14*y. Is 30296\/84*(1 + y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 11 + 10 = 3*h, 0 = -r. Let a be (84\/(-98))\/((-2)\/h). Solve 0 = 2*q - a - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + -1020120000012?\nAnswer: -1020112222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 4. What are the prime factors of 13 - (h - (-3 - -6))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*i + 1164, 6*i + 1746 = 3*l + 9*i. Which is smaller: 581 or l?\nAnswer: 581","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -76*z**3 - 252160*z**2 - 209146812*z + 22018248 = 0. Calculate z.\nAnswer: -1659, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*b - 95*b - 525*b = 11652 + 5008 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 4\/7, -0.1, 0.2, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 30*i + 32. Calculate l(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:28 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 791, 31, 77, 2\/5 in descending order.\nAnswer: 791, 77, 31, 2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/15 (b) 0.091 (c) -3 (d) -0.2 (e) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/8*4 - 6\/4. Suppose -20 = -h + 4*j, 4*h - 39 = m*j + 2. Calculate the least common multiple of h and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2. Suppose y + 2*y - 9 = 5*k, -2*y + 6 = -k. Let w(n) = 277 - 277 - y*n. Calculate v(w(q)).\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4807060, 9614121, 14421182, 19228243, 24035304?\nAnswer: 28842365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3172*f**5 - 100*f - 3.\nAnswer: -63440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, a: 9}. Give prob of sequence ay.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 386*g**2 - 752*g - 9197. Give m(388).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3525400 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o. Let v(r) = r + 562. Determine d(v(t)).\nAnswer: 6*t + 3372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/((-5)\/(-5)*-1). Let j = -3 - x. Suppose -10*o + 108 = -j. What is the greatest common factor of 30 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h - 0*h. Suppose 0 = -3*w - h*k + 3, 0 = -0*k + 4*k + 4. What is the derivative of 4*z**w - 9*z**2 + 5 - 3 wrt z?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 29*v**2 + v. Let k be d(1). Suppose -4*n - 12 = -2*s, 0*n = -2*s - 2*n + k. Let o = 601 + -595. Calculate the highest common divisor of o and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*c + 2 = -12, -c + 4 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91854\/2961 + (-65)\/3055?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -678 and 7.7.\nAnswer: -5220.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q*q**(-2\/43)*q)\/q)\/q)*q)**(3\/2)*(q**(1\/28)*q*q*q)\/(q*q**(-28)) assuming q is positive.\nAnswer: q**(39859\/1204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + -1.1. Let a = -141 + 561\/4. Suppose 0 = -0*v + 4*v - 8, -3*q - v - 1 = 0. Put q, a, y in descending order.\nAnswer: y, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2 + -2 - -2). What is the closest to -2\/7 in -0.3, 1\/9, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15acaa (base 14) to base 13.\nAnswer: 207b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 4:44 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30153 less than 1147?\nAnswer: -29006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(405) - sqrt(405)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.5. Let o = -221 + 221. Are o and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in -3, 2, 709?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 833420.098.\nAnswer: 833420.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 12\/8)*(-8)\/6. Let n = -20 - -4. List the prime factors of 0\/(1 - d) - n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, -128, -0.14, 5?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 + -9)\/((-2)\/(-6)). Let q = g + 5. Suppose -d = -0 - 2. What is the lowest common multiple of q and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-48)*-23 + 37\/(-111) and -43\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45682 + -21329. Does 39 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 308 = -14*y + 16. Solve 3174*w - 3171*w = y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -541201 + -4?\nAnswer: -541205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - s**2 - 4*s + 2. Let t be i(2). Which is bigger: t or -25\/17?\nAnswer: -25\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from {a: 1, h: 1, m: 1, f: 2, q: 1, w: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 32, 13, -14, -49, -92?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 763.4533km?\nAnswer: 763453300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of -4 + (3 - -1 - -105)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4493 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-4 + -12 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 5*p + 6. Let u be f(-2). Solve u = -4*b - 5*d + 17, 2*b + 2*d = 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 347.6 + -347.6. Which is the nearest to s? (a) -3 (b) -0.4 (c) 0 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -844, -1, 72 in ascending order.\nAnswer: -844, -4, -1, 72","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 616 or 615?\nAnswer: 616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -70570*p + 211858. Give i(3).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1 + 1.2. Sort a, 0, -3 in increasing order.\nAnswer: -3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/13 + 87210*c**2\/13 - 5238000*c\/13 + 78597000\/13 = 0. What is c?\nAnswer: -43665, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7580296890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 + 4 = 0. Suppose -3*h + v = -0*h. Solve -2*o + 0*o - h = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxx when three letters picked without replacement from xqhxqxxr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 311332 (base 6) to base 4\nAnswer: 12012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20096 and 0.1.\nAnswer: -2009.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229306?\nAnswer: 2, 7, 11, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(15\/8)\/q)**18 assuming q is positive.\nAnswer: q**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7741\/390 - -119\/6. Is r bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 169 = 8*a - 6*a, 0 = -4*a - 2*d + 398. Suppose a*i - 1504 = 89*i. What are the prime factors of i?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1230 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2525*n + 17444 - 136960 = -25411 + 72545 for n.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 40143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 295*g - 262*g - 297 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 57*i - 4. Let b(n) = 59*n - 5. Calculate -3*b(g) + 4*l(g).\nAnswer: 51*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbswbbwsbbwwwwbw. Give prob of sequence wswb.\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (324\/189)\/(2*1\/7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 31*f + 234. Let g be k(18). Solve 3*x - w + 11 + g = 0, x - 4*w = 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 8*h**2 + h + 15. Let v be 16\/6*(-14 - -11). Let u be p(v). Suppose g + u = 5*l - 3, 0 = -l + 3*g + 2. Solve -4*o - 2 = l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 32. Suppose 3*r = f*r - 2580. Suppose 2*t + 0*c - c = 264, -5*t + r = 5*c. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 38*g - 105. Let b be y(-35). Solve -2*h + 5*h = -4*a - 25, -4*a + h - 13 = b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 100\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1241435799?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) -87 (c) 0 (d) 0.2 (e) -61\/5 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 11*i = 624. Calculate the greatest common divisor of i and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190823736 or -190823737?\nAnswer: -190823737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/2)\/(-2)*75\/945. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1350*f + 325. Let u(c) = -25*c + 6. Let q(a) = -6*n(a) + 325*u(a). Let k(p) = -p. Calculate q(k(i)).\nAnswer: 25*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/26)\/(10\/(2080\/(-16)))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*-1 + sqrt(5) - (sqrt(45) + -5))**2 + 4)*5.\nAnswer: -450*sqrt(5) + 2170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 127.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6950*h**2*u**2 + 1413*h**2*u - 6*h*u**2 - 5635616*h wrt h?\nAnswer: -13900*u**2 + 2826*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11508 (base 15) in base 2?\nAnswer: 1101011101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -23*u - 10. Is x(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -613*x**3 + 3*x**2 - 23*x - 14. Let a(z) = -204*z**3 + z**2 - 8*z - 5. Let q(c) = 17*a(c) - 6*d(c). Does 42 divide q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72765)\/11025*10\/3\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 1559512*h + 1559511.\nAnswer: (h - 1559511)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/358 and -19\/154368.\nAnswer: 27631872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**3 + 4*x**3 - x**3)*(1 - 1 - x) + (-3*x - 2*x + x)*(2*x**3 - x**2 + x**2) as g*x**3 + d*x**4 + v + h*x**2 + t*x and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676*w**3 - 6434*w + 1352*w**3 - 680*w**3 + 6434*w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/((m**(-7\/9)*m)\/m))\/m)\/m)\/((m*m*m\/m**(3\/5)*m*m)\/m*m)*m**(7\/5)\/((((m*m**(-36\/11))\/m)\/m)\/m*m) assuming m is positive.\nAnswer: m**(203\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/12 - 2) + (-4)\/(-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27 - 513)\/(-36))\/((-26)\/(-4)). Which is the closest to v? (a) 4 (b) 2\/7 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 405\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/15 or 15\/7?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 217210 <= 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 - 10301?\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 23*c + 38. Let b be f(-18). Let k = 124 + b. What is the greatest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - 2*t + t + (-2*t - 3 + 3)*(5 - 3 - 4))*(-49*t**2 - 91*t**2 + 8*t**2 + (2 - 2 - t)*(-3*t - t + 3*t)) as y*t + n*t**2 + x*t**3 + q and give x.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/((-152)\/(-64)))\/((-48)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7654 (base 8) to base 4.\nAnswer: 332230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.82 + 0.18. Suppose 0 = t + 5*u - 25, -5*t + 3*u = 7 + 8. Which is the third biggest value? (a) 1\/6 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/90 and 139\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -10 - (0 - 1) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -a - 35. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/7747 - -781703\/1921256. Find the common denominator of b and -49\/16.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 44 + 239*k**4 + (-k**2 - 4*k + 4*k)*(4 - k**2 - 4) as p*k + x + h*k**2 + r*k**4 + o*k**3 and give r.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1186333500 to the nearest 100000.\nAnswer: 1186300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccxx when four letters picked without replacement from {x: 2, i: 2, c: 2, f: 12}?\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 6*v**3 - v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:15 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**4\/12 - 3*v**3\/2 + 5*v. Is 9 a factor of q(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*24\/16*(-15)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:13 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -367, -3093, -10501, -24925, -48699, -84157?\nAnswer: -133633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 divided by -46?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**2 + 64*z + 37. What is b(-2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 640073 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: Suppose -a + 2 = 1. Let y be (1 + a)*(2 + -1). Suppose -2*d - 12 = -5*x, y*x = -d + 4 - 1. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l = -25. Solve -l*i - 1 = -4*t + 11, 3*i + 3 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155*0.053345\nAnswer: -8.268475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -26092?\nAnswer: 260.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -97 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 37*q - 59. Let n(w) = -w - 1. Let g(d) = -c(d) + 6*n(d). What is the remainder when g(-15) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*x - 250*x = -74*x + 294*x - 814 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 4140?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 5*h**3 - 4*h**2 + 4*h**3.\nAnswer: h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 36. Let z(x) = -123*x**3 + 10*x**2 - 17*x - 23. Let v(a) = 86*a**3 - 6*a**2 + 12*a + 15. Let u(t) = 10*v(t) + 7*z(t). What is u(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - d = -23, 5*p + 3*d + 3 = -13. Let j(z) = -z**3 - 5*z**2 + 4. Let g(k) = k**3 + k**2 + 18. Calculate the lowest common multiple of g(0) and j(p).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41440 + 1?\nAnswer: -41434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9 - 2311*h + 4623*h - 2313*h. Suppose 1 = -k - 3*k - c, -2*k = -4*c - 22. Let x be (-5 + -1)*1\/k. What is b(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 213956004.\nAnswer: 213956004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*z**3 + 4266*z**2 - 4266*z**2 + (30*z - 14*z - 5*z)*(0*z**2 + 0*z**2 + 2*z**2) to d*z**2 + m*z**3 + y + h*z and give m.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -12*n**4 + 18*n**3 - 12*n**2 + 3. Let x(m) = -35*m**4 + 55*m**3 - 37*m**2 + m + 8. Let c(y) = -8*b(y) + 3*x(y). Factor c(j).\nAnswer: -3*j*(j - 1)**2*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebz when three letters picked without replacement from {z: 1, b: 4, f: 2, e: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**3 - 352465*i**2 + 2467070*i - 4229160 = 0.\nAnswer: 3, 4, 70486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v = -5*s + 100, 0 = 2*v - 5*s - 68. Suppose -21*z = -v*z + 15, -o - z = -892. Calculate the remainder when o is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*a**5 + 3*a**5 - 3196854*a + 3196779*a - 3*a**4 wrt a?\nAnswer: -580*a**3 - 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 26. Suppose -2*y + 5 = 5*a, -y + 3*a = 3*y - 75. Suppose -b - 4*b + y = 0. Solve -i - j + 1 = b*z, -4*z - 4*i = 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*h + 7. Let o = h - 0. Suppose 3*z = -3*t + 51, 8*z - 3*z + 62 = 2*t. Calculate the highest common divisor of o and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/36 + (-43)\/(-9). Suppose 117 = 58*w + 40 - 213. Solve 2*i - w = d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*j = -0*j + 2715, d - 915 = -j. What is the highest common divisor of d and 520?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**35*b*b*b**(8\/9)*b)**(-37) assuming b is positive.\nAnswer: b**(9694\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9352 and 600488.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 - p**3 + 0*p**3 - 3*p**3 + 4*p**3 - 2*p**3 + (-2*p + 0 + 0)*(2*p - 2*p**2 - 2*p) - p**3 - p**3 + 3*p**3 - 4*p**2 + p**3 + 4*p**2 - p - 3*p**3 + p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 140, 211, 282, 353, 424?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**2*o**2 + 96*a**2*o + a*o + 193*o**2 + 8 wrt o.\nAnswer: -10*a**2 + 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 136566.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p**3 - 18*p**2 + 42*p + 102. Let l(t) = 3*t**3 - 6*t**2 + 14*t + 36. Determine -6*i(r) + 17*l(r).\nAnswer: -3*r**3 + 6*r**2 - 14*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3362500 and 32500?\nAnswer: 43712500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -49421 times 0.7?\nAnswer: -34594.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 7*r - 9. Let l be u(8). Let h = 5.16 - 8.16. What is the closest to l in 4, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*k + f, f + 7 = -2*k - 2*f. Let y = -7 - k. Suppose -2*a = 5*d + 2*a + 5, 3*a + 3 = -3*d. Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 - 173*k - 873. Determine y(-53).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-4 - 0) + 0 + 2). Suppose f*x - 813 = j, -13 - 200 = -x - 3*j. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1253692*g**3 - 79*g**2 - 71*g + 2.\nAnswer: -7522152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156604.\nAnswer: 2, 289151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 5*u**4 + 1\/24*u**6 + 3\/4*u**5 + 0*u + 269*u**2 + 0 + 40\/3*u**3. Let d(x) = 0. Calculate x.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 15655718?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, 4, 1442127, 3, -1, -2\/13?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -21*x**5 - 13*x**4 + 3*x**3 - 21*x + 13. Let k(z) = -10*z**5 - 6*z**4 + 2*z**3 - 10*z + 6. Let g(u) = -13*k(u) + 6*l(u). Find r, given that g(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1022 and 5256.\nAnswer: 36792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 86, 212, 426, 770, 1286?\n\"Answer: 7*b**3 + 2*b**2 + 71*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*126\/(-105))\/((-60)\/(-1000)*1*-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a meter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000796941 rounded to 6 decimal places?\nAnswer: -0.000797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 186082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 + 465643?\nAnswer: 465640.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31787 + -21566. Is x 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 556206040?\nAnswer: 2, 5, 13, 82279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (1 + 2*-2). Let t = 8 - f. Find the first derivative of 2 - n**2 - n**t + 3 wrt n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1716 is divided by 833?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 790050 and 1380?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149156149.\nAnswer: 6733, 22153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1594 + 851 = 0. Let t be 2\/4 + (-2)\/4. Suppose t = 5*j - 2*j - h. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.8 + -32.8. Let l = 2.8 + -14.8. Let n = l - y. Put n, -2, -1\/3 in descending order.\nAnswer: n, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 289 - 45. Suppose -p = -0*h + 4*h. Let l = 180 + h. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 - 7*i - 12*i + 24*i - 3 - 7*i - 2*i**2 + 3*i**2 to b*i + j + a*i**3 + h*i**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 4:11 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 9:21 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**3*p**3 + j**3*p**2 - 13270*j**3 + 689*j**2*p**3 + 11*j**2*p**2 - j + 1325*p**4 - p wrt p.\nAnswer: 12*j**3 + 4134*j**2 + 31800*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 100010 (base 4) to base 13\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 3*a + 3. Let f be u(-3). Suppose 5*s - f = 4. Suppose p - 18 = -5*o, 0 = -0*o + 5*o - s*p. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (1 + 6) - (13 - 14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82556306477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.5. Let m = -7.84 + 5.9. Let q = -0.94 - m. What is the closest to q in 13, -3\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7734 divided by 34\nAnswer: -3867\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a factor of 51752387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - i + 16 = 0, 18*y = 21*y - 2*i + 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**2 + 2. What is r(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 416656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6b (base 14) to base 12\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 64019 from 16.\nAnswer: -64003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472821207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138133 or -138137?\nAnswer: -138137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 10*s**2 + 2*s - 24. Let h be p(10). Let a(c) = 21*c**2 - 9*c - 19. Does 56 divide a(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262.77 - -2989478.9\nAnswer: 2989741.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:00 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94084 and 28.\nAnswer: 658588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aazaaaaazczazazazzzz. What is prob of sequence czz?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/11, -0.12, -3.1, -0.11 in decreasing order.\nAnswer: -0.11, -0.12, -2\/11, -3, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h**3 - 745*h**2 - 797*h + 13072. Give m(94).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + 30. Let f = 142 - k. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8557 and 120793.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83008693 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -22866684?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 580 - 196. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1041? (a) 0.3 (b) -5 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -339, -330, -317, -300, -279?\n\"Answer: 2*o**2 + 3*o - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 215*w - 217*w - 10. Let d(x) = -5*x - 1. Determine d(w).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**3*r*z**2 - 7240*h**3*z**2 - 2*h**2*r*z**2 - 9103*h**2*r + r*z**2 wrt h.\nAnswer: -6*r*z**2 - 43440*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 10*u - 17. What is q(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 303, 296, 303, 330, 383?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-344)\/141)*(-236)\/144. Let d = h + 33\/47. Sort -1, -0.4, d in ascending order.\nAnswer: -1, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4420399 and 2539.\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1148 times 27630?\nAnswer: -31719240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3))**2 + -3 + sqrt(11) - -4*sqrt(33)\/sqrt(3).\nAnswer: 8 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2019*d + 40996 - 123775 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22b76a3 (base 13) to base 7.\nAnswer: -160114523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 39. Suppose 2*p - 12 = -5*b, p - f - 5 = -3*b. Let v be (-1)\/(-1) - (8\/(-4) + -3). Calculate the highest common divisor of v and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 + 0*p**3 + 2*p**3 + (7579*p - 90*p**2 - 7579*p)*(6 - 6 + p) in the form g + a*p**3 + c*p + l*p**2 and give a.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636802788.\nAnswer: 2, 3, 2293, 23143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a + 82. Let g be k(-19). What is the highest common factor of g and 258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + w + 33 = 21, 7*p - 2*w = 5*p - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 113*d = 108*d - 51, -2*d - 66 = 5*i. Let h(l) = l**3 + 12*l**2 - 2*l - 12. Determine h(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (5\/8)\/(10\/40). Let m = 1.3 + -0.3. Which is the nearest to m? (a) p (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.5. Let n = 1.07 + -0.07. Let h = n - 5. Put g, h, -2 in increasing order.\nAnswer: h, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 2. Let z be u(5). Suppose -2*q = -5*c - 2 - 7, -4*c - 3*q = 21. Let t be (1 - -3)*c\/(-12). Put z, t, 4 in ascending order.\nAnswer: t, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18.9, -33, 9\/2, 2\/3 in ascending order.\nAnswer: -33, 2\/3, 9\/2, 18.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5674.\nAnswer: 2, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4121 - 4?\nAnswer: 4112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*p = 2*p + 581, 5*p + 346 = 3*k. Let g = k + -43. Calculate the remainder when g is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - -1 - (4 - 1). Do -4\/15 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -234, -997, -2268, -4047, -6334, -9129, -12432?\n\"Answer: -254*m**2 - m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41.9962456 + 42. Round i to 4 dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754129617.\nAnswer: 3, 47, 83, 64439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 249769 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 2. Let l be h(4). Let b be (-12 + -2)*(-1)\/l. Let j = b - -11. Let p(v) = -v**2 + 6*v - 2. What is p(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 67, -23, -184, -5?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 - m**2 + m**2 + (5*m - 5*m - m)*(-m + 0*m - m) to the form l + g*m + x*m**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/56)\/(210\/840).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 15 - 12. Which is greater: d or 2\/311?\nAnswer: 2\/311","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 5*l**2 + 3*l - 7. Let y be z(-3). Suppose 5*f + 20 = 0, 16*f = -y*w + 12*f - 12. Put w, -2, 5, 77 in descending order.\nAnswer: 77, 5, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-178)*10\/(-35). Let h = o + -1272\/8099. Let i be 595\/(-17850) - ((-2)\/24)\/((-1)\/2). What is the fourth biggest value in 1, i, h, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 710, 3.\nAnswer: 1, 3, 5, 710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (286\/(-2860))\/(28\/(-40))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21, 48, 95, 168, 273, 416, 603?\n\"Answer: p**3 + 4*p**2 + 8*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4501.34271 rounded to the nearest one hundred?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10786922 - -0.4?\nAnswer: 10786922.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 760167 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17176701281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12351121 (base 6) in base 10?\nAnswer: -403321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.2 (b) -43 (c) -1\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45705 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2755541315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 15. Suppose -z*q - 892 = -6*q. Is q*(5 + -1 + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 - 2) + 18 + -29 + 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85976239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:51 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7}. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0137356 to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + n = 4, -6 = -3*u - 6*n + 3*n. Find the third derivative of -6*p**5 + u*p**2 + 2*p**2 + 0*p**5 wrt p.\nAnswer: -360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -45\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-528)\/660)\/((-4)\/70)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 154\/(-6) + -1 + (-32)\/(-48). Is 1406\/3 + (i\/(-6) - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-110) - (-57)\/132. Let n = -3 - -3. Factor z*j**4 + 0*j**2 + n + 0*j - 1\/4*j**3.\nAnswer: j**3*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 7:50 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/d**0))*d)**(2\/15)*(d**(-6\/5)*d)\/(d\/(d*d\/d**(-1\/8))*d) assuming d is positive.\nAnswer: d**(23\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 2 + (-14 - -9). Let z be 1 + 78 + (2 - j - 4). Suppose 2*w - w = -4*g + 210, g = -5*w + 62. What is the highest common factor of z and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 2. Suppose 10 - 4 = -y. Let d be (y - -16)\/(-2) - 10. Let f(c) = -3*c + 5. Give d*i(x) + 6*f(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.23276 to 1 decimal place.\nAnswer: -32.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/707 and 39\/76255?\nAnswer: 533785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 13490.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2261341 and 68569?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10136386 is divided by 534?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-70))\/(9\/105)*(-2 + -2)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 17*w + 100. What is u(-16)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -395.53 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**5\/10 + 5*o**3\/6 + 5*o - 1. Let f(g) be the first derivative of p(g). Find the second derivative of f(m) wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -1)*((-940 - 3) + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + -3*sqrt(114) - sqrt(114)))*3)\/(sqrt(162)\/sqrt(3)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -143, -4, 5 in decreasing order.\nAnswer: 5, 4, -4, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 0.2 (c) -1229 (d) -164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12\/55 + -161\/990. Let z(u) be the first derivative of 2\/9*u**3 + 2 + 4\/9*u - 2\/45*u**5 - 5\/9*u**2 + t*u**4. Determine k so that z(k) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155\/12 - 49\/4. Let q be 20\/100 + (-62)\/10. Let j be 2 - q\/(-4 - -2). Which is the closest to j? (a) -2\/7 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*z**2 - 256*z**2 - 110*z**2 + 24*z.\nAnswer: -324*z**2 + 24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037201 to three decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -249, -4, 22\/7, 11, 0.4 in descending order.\nAnswer: 11, 22\/7, 0.4, -4, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7c4146 (base 13) to base 16\nAnswer: 2d068e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -49*q - 30 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -14. Let m = 204 - 163. Calculate the remainder when m is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 - 0.2. Let l = g + -0.3. Which is the third smallest value? (a) -0.2 (b) l (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 12*a**4 - 3*a**3 - 3*a**2 - 17. Let i(k) = 36*k**4 - 8*k**3 - 8*k**2 - 50. Let q(w) = 3*i(w) - 8*v(w). Find the first derivative of q(b) wrt b.\nAnswer: 48*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 116, 171, 226, 281, 336?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 147882233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45011655 divided by 3462435?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 3*l**2 + 1. Let y be b(1). Suppose 0 = -4*p - 3*s + 213, 3*p = -y*s - s + 156. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8 + (-57)\/(-6). What is the greatest common divisor of t and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27\/(-2))\/(-4 - -7). What is the smallest value in v, 1\/2, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4368089 - 2?\nAnswer: -0.5631911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 + 1473*d**3 - 11565*d**2 - 13041*d.\nAnswer: -3*d*(d - 483)*(d - 9)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from sffhhssshh?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, o: 2, p: 1, w: 2, j: 1, z: 1}. Give prob of picking 1 w, 1 p, 1 o, and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2 - 61224*u - 978816 = 0. What is u?\nAnswer: -20392, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2186 and -15.7.\nAnswer: 34320.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 4. Let w be t(8). Suppose 0 = 2*r - 3*r - o + 15, -r = -3*o + 5. Which is the closest to r? (a) 2\/3 (b) -0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1874434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - -3)*5\/(-1 - 9). Let v(n) = -5*n - 31*n**l - 31*n**2 + 8 + 87*n**2 - 32*n**2. Let g(i) = 4*i**2 + 3*i - 4. Determine 5*g(f) + 3*v(f).\nAnswer: -f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2235*d**3 - 4445*d**3 + 2207*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 5:43 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142141 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 333 + -128. What is the greatest common factor of 43255 and c?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j + 1. Let u(y) = -5*y + 1. Let m(w) = 3*u(w) - 2*z(w). Let x = 4 + 0. Let t(d) = 3*d + d + x*d - 4*d - 1. Give 5*m(g) + 6*t(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 13123020432?\nAnswer: 13123020432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11536)\/(-2) - (12 + (-16 - 0)). Calculate the greatest common divisor of j and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 456 (b) 41 (c) 1 (d) 0.6 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a week in minutes?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*a - 82, -a - 2*a + 111 = 3*t. Suppose -t = 7*b - 60. Solve -x + 2 = -b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/486)\/(-1) + 246\/15390?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -5 - (51 - 54 - (-96 - 0))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 3 + -16 + (-55 - -67).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16598 + -13327. List the prime factors of n.\nAnswer: 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*2)**2 - (sqrt(2)*-1 + -1) - ((-5 + 0 + sqrt(2))**2 + sqrt(2) + sqrt(32) + -5).\nAnswer: 6*sqrt(2) + 947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 757029681?\nAnswer: 1514059362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-4)\/8)*(0 + -3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -322 - -330. What is the smallest common multiple of 33 and v?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahdnhynatyyh. Give prob of sequence adah.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*j = -6, -18 - 6 = -4*o - 2*j. Suppose -14 = 3*s - 4*p, -s + 2*p = -o*s - 6. Is 2\/11 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 2*p + 72. Let d be s(6). Let c(o) = 4*o**2 + 14*o - 14. What are the prime factors of c(d)?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602 = 115*r - 72*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-8) - 270\/(-8)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**3\/5 + 2*g**2\/5 - 8*g\/5 - 8\/5 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 1:30 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.031 + -25.0904?\nAnswer: -23.0594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/6, -27\/1545607 in increasing order.\nAnswer: -27\/1545607, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -7. Let m = 7 + o. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*x = 4*p - 88, 2*p = x + 38. Suppose 9*c + p = 6*c. Let s(y) = -y - 13. Give s(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/25)*w*w*w)**(18\/11)*(w**(7\/4))**(-13\/2) assuming w is positive.\nAnswer: w**(-1267\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31031, -30990, -30975, -30992, -31047, -31146, -31295?\n\"Answer: -z**3 - 7*z**2 + 69*z - 31092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**5 - 4*i**3 + 13*i**2. Let g(c) = c**5 - c**3 + c**2. Let d(o) = 4*g(o) - l(o). Find the third derivative of d(s) wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = -50*v - 24*v + 1110 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47.968 - -43. Let s = b + -0.032. What is the nearest to 1 in 3, s, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 + 13 - -2317)\/134 + -4 + 1. Which is smaller: u or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**(1\/3)))\/w)\/w**(-2\/11))**(5\/4) assuming w is positive.\nAnswer: w**(-20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 1:57 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -61. Does 12 divide 9*(m\/15 - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -18*s + 23*s + q, 4*q + 16 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2. Let u(k) = -14*k + 5 + 35*k - 12*k. Let h(l) = 4*l + 2. Let c(d) = -5*h(d) + 2*u(d). Determine c(a(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37b3 (base 12) to base 15.\nAnswer: -1d1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 31*u - 626. Calculate d(17).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21, -261, -941, -2283, -4509, -7841, -12501, -18711?\n\"Answer: -37*z**3 + 2*z**2 + 13*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*c + 4*c = 1, 0 = -2*c - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 32*o**2 - 4*o + 1. Let n be w(2). Calculate the greatest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2 - 17*u + 22. Let x(v) = v**2 + 8*v - 11. Let f(n) = -2*j(n) - 5*x(n). Determine f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1572.2533291 to one dp.\nAnswer: -1572.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 13*a + 6. Let c be m(15). Suppose 0 = 3*t, -4*u + t = -c - 0. What is the greatest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 9:49 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 100726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -3 (c) 2 (d) -212\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.3. Let n = 17.545 + -0.245. Let i = -16.9 + n. What is the closest to 0 in -1\/4, i, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 9. Suppose -z + 2 = -d. Let y(q) be the second derivative of -q**3\/2 + q**2\/2 - 34*q. Give y(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/60 + t**4\/6 - 15*t**2 + 4*t. What is k(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(5) + sqrt(20)))**2 + (sqrt(30)\/(sqrt(12)\/sqrt(2)) + sqrt(5))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -379 (c) 112519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k + 64. Is 4 a factor of p(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0) + 90\/10. Suppose m = 2*x - 5*f - 10, -3*f = -3. Are 13 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b + 10. Suppose -73*f = -25*f + 240. What is g(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - -164) + -39 + -97?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2729, 2730, 2731, 2732?\nAnswer: 2733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -82. Let h = -39.0062 - z. Round h to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -291 in -1.3, -1\/6, -1?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 8) + (17 - 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*v - 31, -62 = -5*v - 4*q + 4. Suppose -16*c = -13*c + y, 4*y = 2*c - v. Solve 2*f - c = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.5 (b) 12 (c) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w + 3. Suppose 58 - 14 = -4*r - 5*f, 0 = -3*r - 3*f - 30. Let l be q(r). Is 7 a factor of -20*(l\/(-5) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.075 - 107.075. Let f = 111 + l. Which is the second biggest value? (a) -0.3 (b) 0.019 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 3*i**2 + 4*i**2)*(0*i**3 - 3*i**3 + 2*i**3) + (0 + 1 - 3)*(0*i**5 + 2*i**5 - i**5) + 4*i**5 - 3*i**5 + 2*i**5.\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 14\/3*u**2 + 1\/3*u**3 + 64\/3*u + 32 = 0. What is u?\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2. Let o be g(0). Let k = -419\/3717 - -2\/1239. Is o != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 5*n**2 + 5*n - 2. Let g(k) = -k**3 - 4*k**2 - 4*k + 2. Give -4*c(i) - 5*g(i).\nAnswer: -3*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 60*b.\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004147127 rounded to 5 decimal places?\nAnswer: 0.00415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/12*(11\/(-55) + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.15 (c) -1 (d) 275495\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/21 or -8\/2591?\nAnswer: -8\/2591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y + 128 = -27*y. Let m be (3 + -2)\/(-4*(-2)\/y). Put -14, -2, -5, m in decreasing order.\nAnswer: m, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/12 - 166\/(-8). Let t = 98 - 14. What is the highest common factor of t and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 57.\nAnswer: 56.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 + 9*v + 9. Let m(x) = -2*x**2 + 4*x + 4. What is 2*c(z) - 5*m(z)?\nAnswer: 2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m = -80*m + 8*m. Let i(p) be the second derivative of m*p**2 + 0 + 1\/3*p**4 + 16*p - 4\/21*p**3 + 4\/105*p**6 - 1\/5*p**5. Let i(h) = 0. What is h?\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 7 = -23. Suppose 4*k + 30 = -10. Let p be c\/k - (-2)\/5. Solve p = u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 - 3*u**3 + u**3)*(-12 + 12 - 4*u) + 3*u**2 - 3*u**2 + 3*u**4 + u**4 + 0*u**3 + 0*u**3 + (2*u - u**2 - 2*u)*(-2*u**2 + u**2 - u**2).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/11, -2, 1, -1, 14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1155*l - 911. List the prime factors of h(26).\nAnswer: 37, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21236938888 rounded to five decimal places?\nAnswer: 0.21237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 18*b**2 + 24*b - 94. Let z be u(19). Solve -3*g - j + 5 = -2, -5*j + z = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**46\/(d**(-1)\/d)**5 assuming d is positive.\nAnswer: d**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (129 - 59 - 77) + (-2 - (-1 + 2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and -1 - (390\/(-42) - (-4)\/14)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 + 3*r**3 - 36*r**2 + 12*r + 48 = 0. What is r?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10301 (base 7) to base 5.\nAnswer: -40144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {h: 2, n: 1, m: 1, e: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.037*216.6\nAnswer: 8.0142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 111010111100111 (base 2) to base 12\nAnswer: 15573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 21*r - 50. Let y be k(24). Let g = y + 33. List the prime factors of g.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 0 + 0 - 8)*(f - 8*f + 48*f)*(-2 - 4 + 23).\nAnswer: -11849*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*x**3 + 0*x**2 + 0*x**2)*(1 - 2 + 2) + (-3*x**2 - x**2 + 0*x**2)*(7 - 7 - 9*x))*(5 - 5 - x**2).\nAnswer: -38*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 + 60*j - 487. Give n(8).\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 + 67 = 2*g. Calculate the highest common factor of 22 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4181 + 4225 - 8406 - 4*h + 9*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y + 39. Give v(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 261113*h**4 + 1095112*h**2?\nAnswer: 6266712*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**4\/2 - 99*s**3\/4 + 189*s**2\/4 + 480*s + 225 = 0.\nAnswer: -3, -1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -45*u**2. Let a(r) = 3*r. Give a(i(y)).\nAnswer: -135*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 16 = 2*t, -12 = -3*q + 3*t + t. Let i be (-3 + 12\/9)*-3. Solve d + i = q*g, 0*d - g = -5*d - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16656 (base 13) to base 2\nAnswer: 1010011101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*k = 816*k + 396*k - 36204 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*n - 80, 5*j + 6*n = 2*n - 80. Let s be (j\/10)\/(4\/(-10)). Suppose s = -z, 0*z - 2*z = -r + 11. Calculate the remainder when 9 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12071778 and 7320?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 17*p**2 - 16*p + 5. Let u be y(-16). Let l = 142 + -139. Solve u*n - 4*n = -l*c - 13, 0 = 5*n - 2*c - 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.88 - -0.12. Let j = i + -10.826. Round j to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 297\/13 + 80\/520. Solve -3*v - 5*z + 21 = -4*v, 2*v + 3*z = w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 792 and 1408.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440741682.\nAnswer: 2, 3, 59, 138337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 13*f**2 - 19*f - 24. Let k be v(-12). Suppose -5*g + 225 = -k. Let z(x) = -170*x + 55*x + g*x + 57*x. Let r(p) = 9*p. What is z(r(q))?\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**2 + 105*k - 269. Determine h(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = 3*x + 3*w + 2*w, 0 = 5*x - w + 406. Let a = x + 86. Solve 2*v - 4*y = -4, y = -2*v - a*y + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**5\/10 + h**4\/4 + h**2 + h. Let p(k) = 6*k + 131. Let c be p(-22). Let a(g) = g**3 - g**2. What is c*j(w) - 3*a(w)?\nAnswer: -w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31374055.05 rounded to the nearest 1000?\nAnswer: 31374000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 7, f: 2}. Give prob of picking 1 y and 1 f.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/387845 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 83\/52 - 10\/(-65). What is the smallest value in a, -2\/5, -1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*y - 1157, -2*y + 29*z = 28*z - 467. Solve -4*k = -5*x + 7, -y + 236 = 3*x - 5*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 12200, 5 in decreasing order.\nAnswer: 12200, 5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -2, -3, -6, -5, 3, 1.\nAnswer: -27, -6, -5, -3, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321033242 (base 5) to base 13.\nAnswer: -3818c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 2016?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-204)\/20*(-1)\/30. Is q greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71533*r**3 + 2*r**2 + 11911*r - 2?\nAnswer: -429198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**7\/1260 + m**6\/180 + m**5\/60 - m**4\/6 + 2*m**2. Let o(a) be the second derivative of k(a). Suppose o(t) = 0. What is t?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/7, -3\/4, -5, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 2332?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 15) in base 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v - 3. Let m be 1\/(v\/(-4) - -2). Suppose 0 = 3*r + r - 4*z - 24, 0 = -2*z - 2. Sort m, 0, r.\nAnswer: 0, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 6.8, -2\/17, -12 in descending order.\nAnswer: 6.8, -2\/17, -0.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + sqrt(228)\/sqrt(4))\/sqrt(3)*5.\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6830022 and 7854.\nAnswer: 525911694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-195)\/(-12)*12\/21. Let v = 135\/14 - a. What is the second biggest value in 0.5, -1\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2 + 0 - 12*h**2 - h + 4. Let o be i(3). Round o to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:33 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -853 + 6*z + 7*z + 5*z - 20*z in the form v + p*z and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s. Suppose -x - w - 16 = 4*w, 6 = 3*x - 3*w. Let i be g(x). What is the closest to -1 in -4, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w - 1. Let v be x(2). Let c be 24\/v*(1 - (-22)\/(-4)). Let l(g) = -g**2 + 9*g + 38. Let b be l(c). Solve -3*r + b = -1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 93640653 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1038047992?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2616 is divided by 865?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(47 - 9*v - 47)*(v**3 - 2*v**3 + 2*v**3).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2680624111?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r\/(r**1*r))))\/r)**(-15\/11)\/(r**4*r**(1\/9)*r))\/((r**3\/r)\/r*r**1*(r*r*r*r**0*r)**(-17\/4)) assuming r is positive.\nAnswer: r**(1249\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2284 - 3*x + 3*x - 4*x - 11*x + 9*x.\nAnswer: -6*x - 2284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15856)\/(-2973)*15\/(-4)*38\/(-20).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*t - 2678 = -1352 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 269232, 539335, 809440, 1079547?\n\"Answer: k**2 + 270100*k - 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 427 = 4*s, 406 = -2*s + 6*s - 2*j. Let v(a) = -103 + s - 31*a - 23*a. Let i(y) = 2*y**2. Calculate v(i(c)).\nAnswer: -108*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3))**(23\/2)\/((c*c\/(c*c**(5\/4)\/c))\/c*c*(c\/c**(-5))\/c) assuming c is positive.\nAnswer: c**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 111001110011 (base 2) to base 11\nAnswer: 2863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -6.\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 3. Let b(a) = 1. Let y(d) = 3*b(d) - o(d). Let v(u) = -2*u + 4. Let g(w) = 5*w - 9. Let c(s) = -4*g(s) - 9*v(s). Give y(c(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18230026 is divided by 1402307?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21916 divided by -1681.\nAnswer: 21916\/1681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2. Let v(x) be the first derivative of 5*x**2\/2 - 4. Let g(m) = -4*m. Let r(n) = -7*g(n) - 6*v(n). Determine t(r(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*i**2\/7 + 288066*i\/7 + 52376\/7.\nAnswer: -(i - 26188)*(11*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imiil. What is prob of sequence lm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -199458 - -199434.99882. Let u = -0.007 - 22.993. Let m = i - u. Round m to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**3 - 11*u**2 - u + 3*u - u + 2*u. Let s(j) = -j**2. Let i(n) = q(n) - 5*s(n). Find w, given that i(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -16*p**2. Let i(z) be the third derivative of -z**4\/6 + 9*z**2 - 6. Calculate u(i(b)).\nAnswer: -256*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 15. Let h = r + 17. What is the smallest value in -0.5, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1627, -3345, -5059, -6769, -8475?\n\"Answer: 2*w**2 - 1724*w + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-80)*8)\/(-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.035 + 3.065. Let r = b - 3.10000021. Round r to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 35*a - 27. Calculate k(-35).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1505472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5620\/30348 - 12180\/162?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 294.4 - 271. Let d = -23 + i. Which is the third smallest value? (a) -1\/2 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4366, 4130, 3740, 3196?\nAnswer: 2498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*h + 3*h - 15 = 0, 2*h = 3*w - 16. Factor 5*s + s - 9*s + 0*s - 3*s**3 + 6*s**w.\nAnswer: -3*s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51 and -1971709.\nAnswer: -1971658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/700, 4, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(56) + 4*sqrt(504))\/sqrt(8).\nAnswer: -2 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3 + 4 - 3*c - 4. Let n(y) be the first derivative of 3*y**2\/2 - 4*y - 8. Calculate 4*n(v) + 5*s(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7)*z*z*z**(-4\/9)*z*(z**(-5)*z)\/(z*z**(-2\/17)) assuming z is positive.\nAnswer: z**(-1427\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1567 divide 50160142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1*c)**26*(c**(-2\/3))**(1\/31))**(-12\/11) assuming c is positive.\nAnswer: c**(-19336\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*k = 5*b - 2, 5*k - 9 = -b. Let n(r) = r**2 - 8*r + 2. Let l be n(7). What is the tens digit of b*2 - (l - 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16975 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*t + 2 - 18, -2*v - 7 = -5*t. Suppose v*j = -225 + 2727. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/(-15) + 2788\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 16. Let m(d) = -2*d - 12. Let h be m(-4). What is the units digit of (-1)\/((-3)\/t) - h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) - (-2*sqrt(396)*5 - sqrt(396)) - sqrt(396))\/(sqrt(81)\/(sqrt(18)\/sqrt(2))))\/(3*(sqrt(4) - sqrt(36)*4)*5))**2.\nAnswer: 11\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-4)\/50)*1. Suppose -2*b - 2*b + v - 32 = 0, n = -b - 4*v. Let h = 4331 + -4334. What is the closest to b in 0.1, h, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04669 and 0.23477.\nAnswer: 0.18808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10102 - 50836\/5. Is 0.1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 23 = -5*c. Calculate the least common multiple of 14 and ((-2)\/c)\/(3\/(-15)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 970.8218 rounded to the nearest ten?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77875 is divided by 1539.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**4\/12 - 17*k**3\/6 + 28*k**2 - 163*k. What is the units digit of z(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1490 + 456 + 459 + 575 - 7*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b**2 + 48*b + 4. Let y be f(6). Let n(o) = o**3 + 6*o**2 - 2*o + 9. Let q(g) = g + 1. Let h(u) = y*q(u) - n(u). What is h(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6914, -13768, -20622?\nAnswer: -27476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + w - 2*w + 3727 = 0, 4944 = 4*x - 5*w. Calculate the remainder when x is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2882*o - 436.\nAnswer: 2882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2658419266 to the nearest integer?\nAnswer: 51560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2293*z. Let g(a) = 2785*a**2. Calculate g(h(w)).\nAnswer: 14643109465*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*v**4 - 630*v**3 + 392*v**2 + 2.\nAnswer: -72*v - 3780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 43 + 14. Let t(k) = -k**2 - 11*k - 15. What is the remainder when s is divided by t(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 5. Let c(l) = -l**2 + 23*l - 56. Let t be c(20). Let o(z) = 3*z - t*z - z. Calculate o(v(a)).\nAnswer: 2*a + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 95, 198, 305, 416, 531?\n\"Answer: 2*o**2 + 97*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 55. Let y = -12 - r. Let b(z) = -3*z**2 - 57*z - 100. Calculate the remainder when y is divided by b(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 11:40 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 27. Suppose 7 = 4*g - 1, 4*k = -2*g - z. Let l = 3 - k. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-63))\/((-20700)\/12420)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -22c?\nAnswer: -22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.00634, 0.316, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 4)*(-7 - (-93)\/12). What is the common denominator of -41\/5 and 2605\/1500 - (22\/6 - a)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -43144404340?\nAnswer: 43144404330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/6 (b) -1\/5 (c) 0.05215 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 (base 6) in base 8?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112 and 0.9.\nAnswer: -100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*i + 121*i - 26 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 50024332 (base 6) to base 7\nAnswer: 14633102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 1 - 0. Calculate the smallest common multiple of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/((-7)\/(-18)) + -2*1. Suppose 2*i - 3*y - y = -8, 5*i - y = a. Calculate the remainder when 15 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 4*d - 29, 0 = 3*r + 39056*d - 39054*d + 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 18 = 3*w + 2*w, d - 3*w - 13 = 0. Let z(b) = 3*b**2 - b. Let x be z(d). Solve 0 = -x*h - h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 408\/252 - (-10)\/(-35). Let h(o) be the first derivative of -g*o**2 + 16 + 2*o + 2\/9*o**3. Factor h(l).\nAnswer: 2*(l - 3)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1577 and 43472.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 4047?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3\/2 (b) 465.95 (c) -8\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/10 - -7*3\/15. Solve 20 = -5*v, -5*v - 34 = -y*i - 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.137 and -0.158.\nAnswer: 0.021646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5724 + 765*r - 5724 + 4*r - 2*r + 2*r - 2 - r + 2 + 2*r - 3 + 3 + (1 - 2 - 1)*(2 - 2 - 2*r) + 0*r + 3*r - r.\nAnswer: 776*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62.963 + 0.937. Let y = o + -26.4. What is y rounded to zero dps?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 229*-0.3\nAnswer: -68.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8511*g = 2967*g + 163096 + 269336 for g.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37945 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*n + 234 = 0, -2*c - 9*n + 16*n + 99 = 0. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1528030753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -868 - 780 + 1648 + 6*f**2 + 3*f**3 + 2*f**4 + 14*f to u*f**4 + l*f**3 + s + x*f + d*f**2 and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*i + 46 = 3*i, g = -5*i - 31. What is the hundreds digit of g\/(-112) - 634\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59413 (base 13) to base 14\nAnswer: 43702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m*m\/(m*m*(m*m**19*m)\/m))\/((m**(-26)\/m)\/(m\/m**13)) assuming m is positive.\nAnswer: m**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxjxjxbxbwbwbbbabx. Give prob of sequence aw.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 379.5879km in centimeters?\nAnswer: 37958790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5*x - 19847, -3*j + 5*x + 855 + 18952 = 0. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 8*s - 6. Let r be y(7). Let c be -8*1\/(-10) - r. Let d(f) = -f**3 + 4*f**2 + 5*f + 1. Let p be d(5). Is c bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4155367 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59.2 + 11.2. Let j = -28 - h. Let t = j + -15. Which is the smallest value? (a) t (b) 4\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**3 + 8*s**2 - 8. Let o(f) be the third derivative of f**6\/120 + f**5\/60 - f**3\/6 + 2*f**2. Let v = 1905 - 1881. What is v*o(n) - 3*b(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -7*z**6 + 58*z**5\/5 - 2*z**4 - 8*z**3\/3 - 14. Find k such that i(k) = 0.\nAnswer: -2\/7, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-1 + (-12)\/(-4)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1986*q + 9531. What is v(-5)?\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -1, 7\/5 in descending order.\nAnswer: 7\/5, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 2:50 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4809742547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144957 is divided by 35658.\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/((-6)\/(-8)). Suppose -4*n + 1 - 10 = k, -n - 3 = k. Let i = n + q. Solve i = -2*z - 2*z - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*x + 5*a - 0*a, 5*x + 5*a = 35. Suppose 0 = -2*p + 3*n, 1 = x*p - 5*n + 5. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -366203*i**6*z**2 + i**2*z**2 + 591303*i*z**2 + z**2 wrt i?\nAnswer: -43944360*i**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -5*z + 2*o, 2*z = 6*z + 3*o - 147. Solve 0 = x + 33 - z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + a = -4*a - 5, -5*a - 5 = -4*w. Suppose w = 5*i + 4 - 19. Suppose i*t + t = 25200000. Round t to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 + -118709.8905434?\nAnswer: -118708.7905434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47996960 and 12?\nAnswer: 143990880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67 or 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5112, 40916, 138112, 327396, 639464, 1105012, 1754736?\n\"Answer: 5116*y**3 - 8*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/354382 or 0?\nAnswer: 3\/354382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 587 - 203 = 0. Calculate the smallest common multiple of k and 2.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajajcjauauj. What is prob of sequence ujua?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 - k**2 - 966583*k + 966584*k.\nAnswer: -10*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -1. Let i be -4 + (-2 - -2) + k. Which is the nearest to 1\/4? (a) -3 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1182999 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1043.\nAnswer: 1\/1043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (7 + (-1 - 12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 31*c. Let b(f) = -9*f. Let m(t) = -7*b(t) - 2*r(t). Let u(k) = -5*k - 1. Give 5*m(v) - u(v).\nAnswer: 10*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 1503710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2108*r**3 - 1071 - 903 - 334*r**3 + 318 with respect to r.\nAnswer: -7326*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 0.57056.\nAnswer: -0.42944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 17.2. Is -1 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000038629472 rounded to seven decimal places?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -8*l**2 - 5*l - 14154. Let h(a) = 31*a + 9. Calculate 4*h(y) + 7*s(y).\nAnswer: 12*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 58*r**2 - 5*r + 11. Suppose 6*w + 132 + 60 = 0. Let t = 36 + w. Is c(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128496, 125018, 121540?\nAnswer: 118062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1268095*m. Let g(p) = -2*p + 64. Give j(g(t)).\nAnswer: 2536190*t - 81158080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7 + -4 + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*b**2*n**3 + 354*b**2*n - 1341*n**4 + 19*n**2 wrt n.\nAnswer: 72*b**2 - 32184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/19456995 and -149\/90?\nAnswer: 116741970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 396, 395, 392, 387, 380?\n\"Answer: -t**2 + 2*t + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 43*j**2 - 1540*j + 106. What is r(-23)?\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4731*j + 4358*j + 10953 + 1356 = 0 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 27911*k**2 + 1 + 27912*k**2 + 0.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q + b + 153 = 0, -5*q - 4*b + 255 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -5091\/10, -8, -0.06?\nAnswer: -5091\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*m**3 + 964415663*m - 964415663*m - 99*m**3.\nAnswer: -145*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 - 88. Let t = 150 - 144. Put 5, u, t in decreasing order.\nAnswer: t, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m + 3. Suppose 32*d + 5*w - 5 = 27*d, -3*w = d + 5. Suppose -5*v - d*o - 36 = 0, -5*v - 2*o = o + 32. Give i(v).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 58093560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -53\/3. Let n = 2 - 1. What is the nearest to -1\/2 in p, -5, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x**2 - 3*x)*(46*x**2 + 6*x**2 + 4*x**2).\nAnswer: -112*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16164)\/(-324) + -36 - (-4)\/36.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-3 + 4 + 1). Let o(q) = -7*q**3 + 4*q + 2. Let r be o(-1). Sort 9, u, r.\nAnswer: u, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119*15\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2210\/(-51))\/(-26))\/((-8)\/96)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**7\/280 + d**6\/48 + 7*d**3\/3 - 4*d**2. Let m(w) be the first derivative of a(w). Solve m(f) = 0 for f.\nAnswer: -5\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*f**2 + 37*f - 89*f**2 - 7 - 38*f + 3 wrt f.\nAnswer: -224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -46*r - 700. Let s be j(-19). Calculate the greatest common factor of 54 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/504 and -85\/108.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = 585*x - 594*x. Let q(r) = -r**2 + 26*r - 57*r + x*r + 4 + 14*r. Let s = 8 + -2. What is q(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(33)\/sqrt(3)) + -2 - ((sqrt(102)*2)\/sqrt(6) - 3*sqrt(51)\/sqrt(3)).\nAnswer: -2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 863102247 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1150315?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -447249*b**4*x + 6*b**4 + 8292606*x wrt b.\nAnswer: -1788996*b**3*x + 24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 + 3*x**3 - x**4 + 0*x**3 + 3*x + 2*x**4 - 3*x + (-3 + 3 + x**3)*(0 - x + 0) + (-11*x + 3*x + 37*x)*(4*x**3 - 4*x**3 + x**3).\nAnswer: 26*x**4 + 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - 24*m**3 + 12*m**3 + 8*m**3 - m**2 in the form h*m**2 + s*m + d + g*m**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 97 - 3?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*o = -13*o + 2568 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 729*m**2 - 20*m - 10. Let t(c) = 2*c**2 + 4*c + 2. Let j(w) = q(w) + 5*t(w). Let u(z) = 16*z. Calculate u(j(d)).\nAnswer: 11824*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 - ((13 - 75) + 29).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 5, 2\/3, -7 in decreasing order.\nAnswer: 5, 2\/3, -0.07, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -43. Let d = 15 - -6. Let s = l - d. Calculate the greatest common divisor of s and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1626491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18 - 136\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -0.071 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 5*j - 1. Let y be r(5). Let x = 8 - -12. Let c be (1\/(-10))\/((-10)\/x). Are y and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*i - 4*c = -45*i - 498 + 622, -2*i + 3*c + 70 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(10) - ((sqrt(110)*-2)\/sqrt(11) - sqrt(10)))\/(-3*sqrt(5)*-1))**2 - ((sqrt(288)*1)**2 + (1*sqrt(72))\/sqrt(9) + -3).\nAnswer: -2551\/9 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14*-2 + 11850200\/423660\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 19. Let k(m) = m**2 - 12*m - 10. Let d be k(p). Suppose -d*h + 26 = -2*h. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 456, 2242, 5310, 9654, 15268?\n\"Answer: -k**3 + 647*k**2 - 148*k - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40420920529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -13*y + 147. Give c(26).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 205 = 4*d. What is the remainder when 12 + -5 - (71\/(-3))\/((-6)\/(-18)) is divided by d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -175 + 301. Let z = -131 + o. What is the nearest to 0.1 in z, -7\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q*z**3 + 30795*q + 1496*z**3 with respect to z.\nAnswer: -9*q*z**2 + 4488*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 12622194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4 + 98914413*b**3 - 815338276556247*b**2 - 2446015522069677*b - 1630677146599014 = 0. What is b?\nAnswer: -2, -1, 16485737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4546, -4476, -4406, -4336, -4266, -4196?\nAnswer: -4126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let r(u) = -47 + 169 - 72 + u. What is r(x(v))?\nAnswer: -v + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -12*q**3 - 2*q**2 + 10*q + 16. Let v be r(-3). Let d = v - 296. Suppose 0*y - 2*y - 4 = 0. Put y, d, -3 in decreasing order.\nAnswer: y, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - 212*t**2 - 78*t + 274. Give r(71).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 + -60 - -37) + 21.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -59.75. Which is bigger: 2\/5 or b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -299272\/7 - -43762. Let z = h - 57189\/56. Calculate the common denominator of 1\/3 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zauuuspzzzzpauuzzsps. Give prob of picking 1 p, 1 u, and 1 a.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, w: 3, x: 5, y: 1, b: 1, v: 2}. Give prob of picking 1 y and 1 v.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 190 - 26. Let r = w + 24. Let g = r - -178\/15. Which is the closest to 1\/5? (a) g (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.7 - -11.7. What is the third biggest value in -1\/2, 0.2, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-380)*180\/72?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 - 101 - (2 - -4) - (-1 - 10)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g + 5 - 5)*(-53 + 24*g**2 - 49*g**2 + 23*g**2).\nAnswer: -12*g**3 - 318*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 14139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 3*m + 45. Let a = -12010 + 12010. Determine d(a).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 726, 1731, 3188, 5319, 8346, 12491, 17976, 25023?\nAnswer: 33854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**4\/12 - n**3\/6 - 3*n**2\/2 - 6*n. Let o be d(-2). What is the remainder when (o + (18 - -4))*6\/10 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140146 + 2.\nAnswer: 140148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 6976529*v + 13953062.\nAnswer: -(v - 6976531)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 7 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i - 13*i + 10*i**2 as y + j*i + d*i**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-4 - (12 + -5))) + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571*v + 26443126 - 26443126.\nAnswer: 571*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 4*g**2 - 3*g + 5. What is the remainder when 2\/(-2 - 132\/(-64)) is divided by f(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 2*u + 3*u + (-2*u + 2*u + u)*(-1 - 2 - 1) to v*u + s and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = -13*w - 3*r, -81 = -5*w - r - 4*r + 130 - 41 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 0.7. Let t = 3 - 2.8. Let m be ((-6)\/5)\/(10\/25). Which is the biggest value? (a) t (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-9.519\nAnswer: 1.9038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 89923145 + 2?\nAnswer: 89923147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41626193?\nAnswer: 7, 41, 43, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 4. Let i(k) be the first derivative of -69*k**2 - 197*k - 113. Let q(j) = -i(j) - 3*z(j). What is the first derivative of q(r) wrt r?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10673740 by -3.\nAnswer: -10673740\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:36 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**4 + 0*d**3 + 0*d**3 + (-12*d**3 - 24*d**3 + 6*d**3)*(-4*d + 4*d + 2*d) to the form g*d**3 + b + l*d**2 + c*d**4 + n*d and give c.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*b**4 + 7*b**5 + 11*b**2 + 2*b**2 + 0*b**4 wrt b?\nAnswer: 420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 18) + (232 - 228) + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 92\/100)*21\/6. Let f = -12\/25 - d. What is the smallest value in -0.3, 0.5, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3*b*k + a**2*b + 25*a**2*k + 8*a*b*k + 3*a*b - 26 wrt a?\nAnswer: -18*a*b*k + 2*b + 50*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f**2 + 0*f)*((3*f + f - 7*f)*(-1 + 5 - 2) + 6*f - 2*f - 2*f + (20 - 9 + 89)*(-2*f + 5*f - 4*f)).\nAnswer: -208*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(242) - -1*sqrt(242)))**2.\nAnswer: 132*sqrt(2) + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00182991 rounded to 5 dps?\nAnswer: -0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2188, 2078, 1902, 1666, 1376, 1038, 658, 242?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5891 = -25*m + 6866 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.8. Let j be (7 - -1)*(-130)\/104. Let f be -1*(-5)\/j*-1. Is d at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hghbbvvt. What is prob of picking 2 h and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t - 78. Let i = t - -51\/2. Let f = -541\/885 + 2\/177. What is the nearest to 3 in f, i, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 158 - 103 + 3*z**2 + z**2 to the form x + n*z + s*z**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (sqrt(704) + 1 - sqrt(704)) - (sqrt(704) + 6*sqrt(704)*1)).\nAnswer: -6 + 112*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*q + 206*q + 8809 = -297*q for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 341 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5124 is divided by 1551?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177780 and 1045980.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/11 (c) -3 (d) -0.5 (e) -0.334135 (f) -0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4443 and -2176?\nAnswer: 9667968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4}. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 88*a**2 - 616*a + 54217. Determine w(88).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -221 smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -0.4 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4061326896 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 439249456 to the nearest integer?\nAnswer: 20958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5 - 9. Let b(o) = o**3 + 9*o**2 - 3*o - 5. What is the units digit of b(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*t + 4665 = -1851 + 972 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 20\/15)*(-48)\/2. Let g = 43 + x. Suppose 2*s + 3*h + 34 = 332, -g*s = -h - 425. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003679 to five decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164 and 20.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 6*x**2 + 7*x + 3. Let p be n(-5). Let t be -4 + 7 - (-23)\/p. Let y be (0 - 0\/(-1)) + 1. Which is bigger: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4058681g in milligrams?\nAnswer: 405.8681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 1685.6485.\nAnswer: 3371.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30 and -532637.36704.\nAnswer: -532607.36704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 398 = -43. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57198 = -415*j + 417*j - 3*r, 3*r = 6. List the prime factors of j.\nAnswer: 2, 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3\/5, -3, 1\/7, 0.6, -1, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1397942 <= -1397942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166.89216 + 1.07416. Let s = f - -166. Let h = s - 0.23. What is h rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 0*b - b)*(-2*b + 3*b + 0*b) + 8*b - 8*b - 17*b**2 + b**2 + 2*b**2 - 4*b**2.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1650936008 to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2 = -4*s + 50, 5*n - 2*s = 81. Let x be (n\/(-10))\/(3\/(-4)). Let v = -7 + x. Let b(f) = -f. Calculate b(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -334, -366, -438, -562, -750, -1014, -1366?\n\"Answer: -2*t**3 - 8*t**2 + 6*t - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26 and -6735385800.\nAnswer: -6735385826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21756 + 4?\nAnswer: 21762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -88, -115, -52, 149, 536, 1157, 2060, 3293?\n\"Answer: 8*u**3 - 3*u**2 - 74*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zza when three letters picked without replacement from {a: 1, z: 3, e: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 = 5*g, 32*g - 28*g - 16 = 4*l. Let h be (0 - 1) + 14\/10. What is the closest to -1 in g, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60*(1 - (-3)\/(-5)). Calculate the highest common divisor of 36 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2061 + 2060.95. What is the nearest to 0 in 10, 1\/2, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5612)\/(-3) - 3 - (-5)\/15 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - (sqrt(132) - ((5*sqrt(132) - sqrt(132)) + sqrt(132)) - sqrt(132)) - sqrt(132)) + sqrt(132))*-2 - sqrt(132))\/(-6*sqrt(1728)).\nAnswer: 13*sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -7 + 12 + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001101111000 (base 2) to base 6.\nAnswer: -344504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -58025 divided by 55\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -76.8, 55, -1\/10 in descending order.\nAnswer: 55, 4, -1\/10, -76.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1573*u - 81 + 4720*u - 1574*u - 1578*u to the form g + f*u and give g.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104577 and 366.\nAnswer: 12758394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b - b)*(19*b + 72 - 72)*(-3 - 4 + 6)*(3 - 2 + 1).\nAnswer: 76*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5520 divided by 4\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23678.4081 + -23556.4. Let i = -122 + p. Round i to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l - 2390 = -332*l - 160*l. Suppose 2*r + 2*r = 20. Suppose -r*q + 0*w - w = -65, -5*q - 4*w = -80. Calculate the remainder when q is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 - 2*b**2 + 10*b**2 + 0*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 79311.97 millennia in years?\nAnswer: 79311970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*h = 196 - 326 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*z**3 + 70*z**3 + 65*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3))**24\/(((d*d*d**(-8))\/d)\/d*d**10) assuming d is positive.\nAnswer: d**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 12, -3*v - 2*r - 35 + 36 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16599246409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 0*r = 2*r. Let f be (29 + r + -3)*(-2)\/4. Let b = -2 - f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -p + 56, 5*p - 47 = -z + 161. Suppose 3*k - 112 = p. Calculate the highest common factor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by -566\nAnswer: -35\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3 (b) 108 (c) 0 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 257579357?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by 7\nAnswer: -330\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -17*h - q, 2*q + 538 = 624 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 7 + 11. What is the units digit of (-4)\/p*(6 - (-5 - 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-20) - (-190)\/8. Suppose 19*h = f*h - 256. Suppose 5*k = 5*q - 125, -5*q - 5*k - 12 = -107. What is the remainder when h is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325738717 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: Calculate 1572 divided by -4.\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1504, -1500, -1484, -1450, -1392, -1304?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -3*q**5\/140 - 5*q**4\/7 - 33*q**3\/14 + 81*q**2\/7 - 2*q + 1774. Factor i(d).\nAnswer: -3*(d - 1)*(d + 3)*(d + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 203\/(-14)*(64\/10 - 2). Which is bigger: y or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*j + 12 = z, z = j. Let o be (8\/(-12))\/((z\/(-42))\/(-1)). Let v(m) = -m**3 + 7*m**2 - 2*m + 7. Give v(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/(-616))\/((-3)\/(-8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c - 11*c - 3*c)*(1 + 0 - 3)*(c - 1 + 1).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 352877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 7*r - f - 15, 152 - 176 = -2*r + 3*f for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -343 + 343. Suppose c = -20*o - 0*o. Solve o = 7*s - 9 - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -56. List the prime factors of 446 - (l + 1 + -2).\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5 - 2*z + 18 - 17. Let u(s) = -3*s. Calculate u(k(r)).\nAnswer: 6*r - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39*49\/14*36\/126.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -52*h - 14 = -45*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*563)\/((-21)\/1407) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -6210.\nAnswer: -6213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4*o = -24, 10*v - 13*v - 5*o - 10 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2654, -5226, -7796, -10364, -12930, -15494?\nAnswer: -18056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*s = -66074 + 70694 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(7 + (-3)\/1). Let y = -21 + 167\/8. Which is the smallest value? (a) v (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 0.033, 3\/7 in descending order.\nAnswer: 3\/7, 0.033, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 15 = 0, 2*i - 69*w = -139*w + 69*w - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -71 - 41. Let l = z + -52. What is the closest to -1\/2 in l, -0.1, 2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2, -36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 + 3*k**3 - k**3)*((16 - 16 - 17*k)*(k - 4*k + 4*k + (-2*k + 2 - 2)*(-2 + 1 + 0) + 2*k + k - k) + (-2377 + 123*k + 2377)*(2*k - 3*k - k)).\nAnswer: -662*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6046131 and 1911?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, w: 1, s: 1, j: 1, t: 1}. What is prob of picking 1 s, 1 j, and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4033524 and 1100052.\nAnswer: 12100572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29976 - -43.85.\nAnswer: -29932.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, 34, 5, -5.\nAnswer: -5, 5, 34, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112008920 to the nearest integer?\nAnswer: 10583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.15580675 and -2.\nAnswer: 4.3116135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -13*z**3 + 7*z**2 + 7*z - 7. Let m be l(-3). Let a = m + -116. Suppose -24 - a = -6*k. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 5435.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/12 + (-8)\/(-48). Let f = -2029.4 + 2034.4. Which is the third smallest value? (a) f (b) 2\/3 (c) i (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from etttpdtefeedttdtt?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 + -77.95. Let k = d - 0.05. Which is the third smallest value? (a) 4 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222844470 by 22284447.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (((-1116)\/(-378))\/(-31) + 214\/42).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 39. Suppose -4*m - u + 21 = -2*m, u = -5*m + q. Let i = m - -1. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18680 + 89694. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.3, -0.56, 392\/9?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9795*i = -9778*i + 119 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*(1 + -1 + 1). Suppose 3*y + 3*o - 30 = 0, 5*y - 5*o + 1 = 71. Suppose 10*t + 60 = y*t. What is the highest common divisor of d and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 23 = -s, -2771*j - 5*s = -2769*j + 49 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3\/5 + 7611*n**2\/5 + 403731*n\/5 + 396117\/5 = 0. What is n?\nAnswer: -51, -1, 2589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 37 = 3*r, 51259*c + 21*r = 51256*c - 27 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 8. Let i be (1\/g)\/(2\/6). Let q = -3 - -3.2. Which is the second biggest value? (a) i (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*v**3\/9 + 13179*v**2 - 11861*v\/9.\nAnswer: -v*(v - 11861)*(10*v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**5\/60 - 5*w**4\/24 - w**3\/6 + 5*w**2. Let f be j(3). Which is the closest to 2\/3? (a) 1 (b) f (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422255 (base 8) in base 3?\nAnswer: 21010200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 + 6 = 0. Suppose -17 - 235 = -p*v. Calculate the remainder when 83 is divided by v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g - 201 + 201)*(-404 + 249 + 434).\nAnswer: -2511*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w**2 + w. Let i(v) = -5*v**2 + v. Let a(k) = -2*f(k) + 3*i(k). Let d be a(-1). What is the common denominator of (-426)\/40 + 1\/d and -53\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 9:35 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6) + 110\/84 + -1 - 1404610\/(-42749)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48358241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(325)*5)**2.\nAnswer: 8124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 893.3221kg?\nAnswer: 893322.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 3 + -9 + (55 - 46)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 97 (b) 2 (c) -2\/19 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2. Let f(i) = -13*i + 3*i + 2*i + 7*i - 33*i. What is f(y(v))?\nAnswer: 34*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35203, 73032, 110875, 148732?\nAnswer: 186603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 5)\/((-6)\/(-9)). Let t(o) = 46*o**2 + 7*o - 9. Let w be t(u). Let d = w - 227. List the prime factors of d.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4076 (b) 1 (c) 5 (d) 0.29 (e) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-two fifths of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 216376? (a) -0.6 (b) 0.2 (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-88)\/16)\/((-2)\/376). Let k = u - 353. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794528219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -386 - -524. Calculate the highest common divisor of 46 and v.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - r - 12. Let o(v) = v**3 - 2*v**2 - 2*v + 2. Let h be o(3). Let k be i(h). Solve 3*l + k = -1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {f: 1, e: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18408 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -28. Let k(n) be the third derivative of 7*n**5\/10 - n**4\/24 - n**3\/6 + 2*n**2. What is the tens digit of k(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/13)*j\/((j*j**(-2\/5)\/j)\/j))**(8\/5)\/(((j\/j**(-2\/3))\/(j*j**(-1\/9)*j))\/(j*(j**0\/j)\/j)**38) assuming j is positive.\nAnswer: j**(-99988\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:26 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*(sqrt(405) - sqrt(45))*-6*-5)**2.\nAnswer: -20250000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1821*z**2 + 2*z**4 - 2*z + 43 - 51 - 1841*z**2 to f*z**4 + d*z + k*z**2 + y + g*z**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4, 0 - 3 = 2*c - 3*l. Let m be (1\/(-2) + c)*2. Let j(v) = 5*v**2 + 3*v + 2. Is j(m) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4294175 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 287551769 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*x + 40. Let n = x + 14. Solve -4*k = -n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + n + 9 = -2*n, 4*l + n - 14 = 0. Let m = 14 - 5. What is the remainder when m is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 65021.\nAnswer: -1\/65021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + sqrt(1539)*3 + sqrt(95)\/sqrt(180).\nAnswer: 217*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u = -24*u + 11*u + 798480. List the prime factors of u.\nAnswer: 2, 3, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 7 (b) -2\/11 (c) 0.2 (d) -2\/3 (e) 2\/5 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a + 18. Let u be h(0). Is 6\/u - (-226)\/6 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30304943*l**2 + 1989653 with respect to l.\nAnswer: 60609886*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -2*k**2 + k + 1. Let z(f) = -4*f + 2. Let w(u) = 5*c(u) - 4*z(u). Let i(x) = -3*x - 2. What is 5*i(b) - 4*w(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 12:06 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 467846271?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(2\/7)))**(12\/5)\/((x\/x**(2\/3))\/x**4)*(x**(-2)*(x**(-2\/19)\/x)\/x)\/(x**(-2\/9)\/x**(-4)) assuming x is positive.\nAnswer: x**(-29339\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfw when three letters picked without replacement from cfffffwfcwfcwcffwcfc.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e - -2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**2 + 18. Let i(k) be the second derivative of -k**3\/2 + 444*k - 3. Calculate i(u(g)).\nAnswer: 9*g**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a meter in millimeters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**5\/80 - 68*z**4\/3 + 294845*z**3\/24 + 297025*z**2\/4 + 154*z + 4. Factor b(t).\nAnswer: (t - 545)**2*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1160*i - 2815 + 4463 = -5312 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + sqrt(931)) - sqrt(931)*2*6.\nAnswer: -42*sqrt(19) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 14. Let l be a(-5). Calculate the highest common factor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 11:45 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 738858 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: Evaluate -103 - -108 - (-6 + (-24)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08079 + -6.23021. Round i to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 21*j**2 + 22*j. Let m be u(-22). Suppose m = 3*l + 61 - 76. Sort l, -16, -0.5.\nAnswer: -16, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100652 - -100651.999949737. What is v rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 6*c - 3. Let p be o(-6). List the prime factors of (2 - -1) + (-3)\/p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/10)\/(((-5)\/10)\/((-60)\/168))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17263 + -17230. Which is the fifth biggest value? (a) 4\/5 (b) h (c) -4\/9 (d) -2\/9 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 9*u**5\/2 + 22719*u**4 + 28660007*u**3 - 38281526*u**2 - 70141975*u\/2 - 6375625 = 0.\nAnswer: -2525, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18089 is divided by 4492.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 6*d**2 + 5*d - 2. Let n be s(3). Suppose -n = -3*o - o. Solve -3*v - o = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-2))\/((-1)\/8). Let k(m) = m**3 + 75*m**2 - 82*m - 452. Let a be k(-76). Let p(x) = 4*x - 7*x - 2*x - u + a*x. Determine p(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 5*u - 3. Let w be b(-4). Let f be -3*5\/(-15)*2\/1284*-4. Which is bigger: f or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmc when three letters picked without replacement from mcmx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -50, -111, -206, -341, -522, -755?\n\"Answer: -h**3 - 8*h**2 - 2*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -2)*3\/6. Let b be (2 - z)\/(2\/(-10)). Let u be 10\/b - (-3 + 1). What is u rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26769 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 3:41 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 - 0) - (16 + -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -928, -1855, -2782, -3709, -4636?\n\"Answer: -927*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8020 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8830, -20991, -33154, -45319, -57486, -69655, -81826?\nAnswer: -93999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35.58 - 0.42. Let b = 56033792 + -56033828.000033. Let q = b - l. What is q rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7553196 is divided by 107.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 2:41 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 3*z + 4. Let u(j) = -j - 6. Let n be u(-9). Suppose 0*t - 2*t + 16 = 4*w, 2*w + n*t - 12 = 0. What is m(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(17))*1)**2 - sqrt(17)) + (sqrt(102)\/(sqrt(6) + 1*sqrt(6)))**2 + (sqrt(153)*1 - (sqrt(17)*-2 + 0)).\nAnswer: 4*sqrt(17) + 85\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 - -2) + (-1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 30*a - 33. Determine h(9).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 31*r - 36*r - 11, 3 = -2*r - y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 43. Suppose -5*l = -3*g - 15 - 8, -4*g + n = 5*l. Let u be 154\/231 - 34\/(-3). Calculate the greatest common divisor of l and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 9*j + 2. Let g be i(9). Let r(c) be the first derivative of 2 + 3*c + 5*c**2 - 3*c - 6*c + 3*c. Let p(w) = 3*w - 1. Calculate g*r(v) - 7*p(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 65\/15)*1. What is the closest to -1 in -0.4, h, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -v - 3*v - 2, q = 4*v + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.01505 decades?\nAnswer: 1.806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.976 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4 - 28*v + 10*v + 20*v - 4. Let a(k) be the third derivative of k**7\/168 - k**4\/12 - k**2. Let q(w) be the second derivative of a(w). Give n(q(d)).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -25. Let b = c - 8. Which is smaller: b or 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z - 25. Let y = 388 - 397. Let i(u) = -3*u - 6. Calculate y*i(j) + 2*q(j).\nAnswer: j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -901\/365858 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*d - 0*d + 10, -2*c = -d + 7. Let f(j) = -3*j - 4 - 3*j - j**2 + 2. Let s be f(c). Calculate the greatest common divisor of s and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c**2 + 207*c - 5199. Let q(o) = -30*o**2 + 827*o - 20797. Let t(d) = -6*q(d) + 22*z(d). Factor t(m).\nAnswer: 4*(m - 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**14*j*j*j\/(j*j**(-45)*j)*j*j)\/(j*j**(-2\/89))**17 assuming j is positive.\nAnswer: j**(4039\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 2137950036*c**2 - 285676898346000096*c + 285676896208050064.\nAnswer: -4*(c - 267243754)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(288)\/sqrt(4)*-3)**2.\nAnswer: -108*sqrt(2) + 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8108.284 days?\nAnswer: 700555737600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/11 (b) -3\/5 (c) 0.2 (d) 4\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8209255741686 and 0.6.\nAnswer: -8209255741685.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) -0.1 (c) -0.9 (d) 116 (e) -1\/5 (f) 1\/8 (g) -0.6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.08 (b) 0.01388 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12891, -12618, -11863, -10386, -7947?\n\"Answer: 40*k**3 + k**2 - 10*k - 12922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = -2*a. Let p(s) = -a + 2*s + 5. Let k(g) = -9 - 28 + 37 + 2*g**2 - 4*g**2. Give p(k(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/2341485 and -131\/30.\nAnswer: 4682970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {i: 3, f: 6, k: 3, b: 1, w: 4, l: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14891 rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3480463206?\nAnswer: 2, 3, 11, 19, 925163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i + 4. Suppose -3*p = 1952*k - 1949*k + 48, -2*p + 5*k = -38. Suppose -4*o = 5 - 1. Let r(m) = m - 1. Give o*d(t) + p*r(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**2 + 1004*p + 172229. Determine g(-117).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*s*v + 420*s - 102*v**2 + 2*v wrt v?\nAnswer: -2*s - 204*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -2*f - 14 + 2\/3*f**3 + 0*f**2. Determine k so that m(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 57. Let k = 20.9999981 - r. Round k to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119 + 121. Suppose u = -2*t + 55, -j*t = -6*t + 2*u + 106. Calculate the greatest common divisor of t and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*i - 2 - 2)*(-6*i**2 + 4*i**2 + i**2) + (i + i - i)*(i**2 - i**2 + i**2).\nAnswer: 4*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 4*4*sqrt(7))**2 + 4)*-6.\nAnswer: -10830 - 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d + 9. Let j be p(4). Which is smaller: j or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -3*v + 11, -9*v - 3*n - 10 = -7*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 676 divide 127156952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Let y = 411.06 + -383. Let f = -28 + y. Which is smaller: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -y - 756. Let t = 140 + y. What is the remainder when 26 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 139 + -135 - ((5 - 2) + -4 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 15*u**5\/4 + 768*u**4 - 44805*u**3 + 1049073*u**2\/2 + 1831605*u\/4 - 224409\/2 = 0.\nAnswer: -254, -1, 1\/5, 19, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11744*j**5*v - 2*j**4*v - 2*j**2*v - 3*j*v + 612*v wrt j?\nAnswer: 704640*j**2*v - 48*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9*a**2 - 4*a. Let h(f) = -4*f. Let z(s) = 3*s. Let t(q) = -2*h(q) - 3*z(q). Give t(y(c)).\nAnswer: -9*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-21)*532\/228\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 1:39 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 285298566 to the power of 1\/3, to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(3 + 0 - 4). Suppose -5*a + 39 + n = 5*b, 0 = 4*b - 5*a + 4. Let h(t) = t**3 + 3*t + 5. Let l(o) = -1. Determine b*l(z) + h(z).\nAnswer: z**3 + 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14246, -27557, -40868, -54179, -67490?\nAnswer: -80801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -14 (c) 93 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548*b = 553*b - 900. Is b a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.8 - -27.6. Let b = -0.08 - 3.92. Sort b, a, 3 in ascending order.\nAnswer: b, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 3:16 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 6*h**5\/25 + 21*h**4\/10 - 18*h**3\/5 - 21*h**2\/5 + 48*h\/5 - 34. Factor n(j).\nAnswer: 6*(j - 1)**2*(j + 1)*(j + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20435 - 20435. What is the smallest value in 4, -2\/7, 0.01, c, 1\/15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -310, -93393, 3 in ascending order.\nAnswer: -93393, -310, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 590.80024 to the nearest ten.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 990 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 18 = 2*w + 4*h, 4*h - 21 = -3*w. Let i(y) = 2*y**w + 2*y - 8*y**3 - y**2 + 0*y + 5*y**3. Calculate the lowest common multiple of 10 and i(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23266 - -23332. What is the remainder when 419 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 10*b = -40. What is the lowest common multiple of b and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 174*n - 2195. Determine l(19).\nAnswer: 1111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 51921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -83*v**2 - 1669*v - 184. Give h(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*f + 323 + 2852. Let n = f - -1997\/16. What is the common denominator of -33\/62 and n?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -3427, -5, 0.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6374966*s**4 - 16883897*s wrt s.\nAnswer: -76499592*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 150860 divided by -7543\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 189*a**2 + 4510*a - 324. Give u(161).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**13))**13*(u**(-1\/21)*u)**(-2\/9) assuming u is positive.\nAnswer: u**(31901\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -94689 and -7.2.\nAnswer: 681760.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -924 and 0.3.\nAnswer: -277.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22.1, 0.1, 0.07?\nAnswer: -22.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6295, 31080, 72389, 130222?\n\"Answer: 8262*x**2 - x - 1966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5507 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, -4, -335 in decreasing order.\nAnswer: -4, -97, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110745635 to the nearest integer?\nAnswer: 10524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(13)*1 + -4.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 4.5, 0.4, -1\/5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 117001\/25 - 4681. Calculate the common denominator of -73\/50 and z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/77)\/((-2)\/(-7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 6 + 8 = -4*s, -4*s - 15 = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4143314132 (base 5) in base 8?\nAnswer: -40550162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21617723 is divided by 28557?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkohoknknnnoknnokok. What is prob of picking 2 o?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g - 3. Let l be i(-6). Let m be (l\/(-22))\/((-3)\/32). Is -17 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1561*d**2 + 848*d**2 - 2783*d**2 - 1662*d**2 - 655*d**2 - 3048*d**2.\nAnswer: -5739*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -1. Let c be (-100)\/y + 1\/2. Is 13 a factor of c\/((2\/(-7))\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**3\/3 - 25*d + 1. Let w(x) = -x + 2*x + 4*x. Calculate w(i(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -119971 + 12671178?\nAnswer: 12551207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -34. Let d be (-9)\/(-18) + (-3)\/h. Is 5 a factor of 144\/8 - (d - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 23*j**3\/3 + 421. Let m(q) = -15*q**2. Determine u(m(f)).\nAnswer: 5175*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - -0.06. Sort 4, g, 2 in descending order.\nAnswer: 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**3 - 8*r - 15. Let d be l(-2). Let g(c) = -45 + 21*c**2 - c**3 + 45 - d*c**2 + 13*c. What is g(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 35*p = 30*p + 167, 4*p = -2*i + 108. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(2 + sqrt(11) + -4 + sqrt(22)\/sqrt(2) + sqrt(11)).\nAnswer: -6*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 303582752 and 213280?\nAnswer: 1517913760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/2 (b) 0.4 (c) -5 (d) 2\/15 (e) -0.052\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2992674.9 microseconds?\nAnswer: 0.049877915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**5\/4 + r**4\/3 - 2*r**3\/3 + r**2 - 13*r. Let l be c(3). Let n = l - 100. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48076227 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2\/121 (c) 5 (d) -3\/8 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + 26. Let l(f) = -2*f + 2345. What is l(z(b))?\nAnswer: 6*b + 2293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -1\/2, 4 in increasing order.\nAnswer: -1\/2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41209429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -136+37\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 11. Let j be p(-6). Suppose -2*y - 1 = y - j*u, 5*u - 10 = 0. What is the least common multiple of -2*3\/3*(-4 + y) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -16*u. Let p(o) be the third derivative of o**5\/6 - o**4\/6 - 7*o**2 + 30*o. Determine l(p(d)).\nAnswer: -160*d**2 + 64*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*p**2)*(-1 + 1 + 2*p) - 1409*p**3 - 894*p**3 + 170*p**3.\nAnswer: -2129*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/315 + (-92)\/(-161)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 6) in base 2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let a(k) = -38*k. What is a(h(g))?\nAnswer: -38*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -61906.9439 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.315 - -26220.52694?\nAnswer: 26200.21194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 43. Let j be b(-21). Let n(s) = 18*s**3 + s + 2. Let t be n(j). Is 46 a factor of 3162\/t*(6\/(-4) - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*p**4 - 1 - p**4 - 3*p**4 + 2*p**4 + (-2*p**4 - 5*p**3 + 5*p**3)*(-1 + 3 + 0).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 7*x**2 - 5*x + 6. Suppose 11 = 4*n - 13. Let u be w(n). What is the greatest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 64490 and -105928030.7.\nAnswer: -105863540.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/10, -544.6, 2\/7, 4 in ascending order.\nAnswer: -544.6, -9\/10, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - i = -4*h - 28, -4*i - 22 = 3*h. Let y(v) = 2*v - 3. Let n be y(i). Let j = n - -20. Sort j, 2\/3, 3 in ascending order.\nAnswer: 2\/3, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 + o**2)*(o - 6*o + 0*o) + (2 - 5 + 7)*(-o**3 - 2*o**3 + o**3).\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**3\/3 + 9*r**2\/2 - 34*r - 7. Let q be p(-14). Calculate the greatest common factor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 26*f = -92 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from kktxxxxfxxfxkffxxx?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 172082 <= 172082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 8 - 7)*(3*j**4 - j**4 - 4*j**4) in the form g*j**3 + l*j**4 + m*j**2 + s*j + q and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -270, 0.1, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + m**5 + 5 - 5 - 2*m**5 + (-2*m**2 - 2*m**4 + 2*m**2)*(-6 + 6 + 3*m) + 0*m - m**5 + 3*m - 5*m.\nAnswer: -8*m**5 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*z - 50*z - 26 = 57*z. Let w(p) = 2*p - 26. Let v(r) = 1. Give z*w(t) - 4*v(t).\nAnswer: -2*t + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -2 (c) 17953\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 - -2502?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16557800, -16557794, -16557786, -16557776, -16557764, -16557750, -16557734?\n\"Answer: t**2 + 3*t - 16557804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d*d**(-26)))\/(d*d**15*d))**(6\/17) assuming d is positive.\nAnswer: d**(42\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2003752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211302113130 + -3?\nAnswer: 211302113121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 plus -0.9?\nAnswer: 183.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*b)*(10*b - 9 - 25*b + 9*b).\nAnswer: -18*b**2 - 27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 4. Let i be u(2). Suppose -4 = i*x - 16. Is 3 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/((-10)\/(-75)). Let v be 14\/49 + c\/7. Does 15 divide ((-30)\/4)\/(v\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388655378 - 1.30101.\nAnswer: 388655376.69899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -32*t**3 - 3*t**2 + 4*t - 9. Let b(h) = -95*h**3 - 8*h**2 + 11*h - 25. Determine -4*b(z) + 11*v(z).\nAnswer: 28*z**3 - z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1015 (base 11) to base 4.\nAnswer: 111003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (25 - 18) + -27?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfx when three letters picked without replacement from xxxxxddxfdxxdx?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*j + 3, 4 = -2*l - 2. Suppose s = 3*f - 0*f + 12, -2*s + 4*f + 16 = 0. Solve n - 2*r + j = s, 3 = -2*n - n + 3*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -1, -49, -4, 0 in descending order.\nAnswer: 5, 3, 0, -1, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788 is divided by 174?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/180*(-5)\/(-3))\/((-128)\/(-4032))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 85a + -3?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130)*-2*-4 + sqrt(130)))\/(sqrt(250) - 1*sqrt(250) - sqrt(10)).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7551923 to 3 dps.\nAnswer: -1.755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568529.\nAnswer: 13, 101, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 23738908079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 654 + -211. Let i = 1119 - a. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*25\/40)\/(4\/(-8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1416, -7233, -19604, -40719, -72768, -117941, -178428, -256419?\n\"Answer: -365*z**3 - 1087*z**2 - z + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380 and 1925270.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 34 = -6*y. Let n be (-6)\/(-40)*(-54)\/81*-4. Let h be 8\/(-14) - 2\/(-7). Put y, h, n, -3 in decreasing order.\nAnswer: y, n, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -13*w**2 + 3*w + 5. Let j(p) = -13*p**2 + 2*p + 4. Determine 4*j(x) - 3*k(x).\nAnswer: -13*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 637 = -h + i, -h - 2*i = -635. Suppose -3*p = -2*k + 2*p + 249, 5*k = -4*p + h. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*f - 12*f**2 + 0*f**2 + f**3 + 56*f.\nAnswer: f**3 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4533532393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -133\/2, -0.4, -1\/5, -0.039?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 246*z**3 - 18*z**2 + 9*z - 2. Is y(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -129.6 + 110. What is k rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 982707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10653 is divided by 86.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and -155971.\nAnswer: -3743304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(1*6\/(-40)). Let a be w\/22 + 12\/66. Suppose a*d = -2*d + 92. Calculate the remainder when d is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 8 = 17. Let w be (-8)\/874*(-214)\/4. Let n = 4\/23 - w. Is n bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -c + 496, -60*c + 491 = -59*c - 3*a. What is the greatest common divisor of c and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -49.2. Let u = -8 - x. Let r be (0 - -2) + -3 - -2. What is the biggest value in u, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03144996858 - -0.09?\nAnswer: 0.12144996858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -2. Let r = 20 + -15. Find the second derivative of 0*s**5 - s**r - 7*s**t + 9*s wrt s.\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167803.\nAnswer: 31, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 902023*k = 902038*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6071 is divided by 834?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 6.8. Let v = i - 6.2. Which is the closest to -1\/3? (a) -0.3 (b) v (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11594859168576 from 0.1.\nAnswer: -11594859168575.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5285 + -5289. Sort -3, 2, b, -28, 0 in descending order.\nAnswer: 2, 0, -3, b, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:40 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 623?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*g - 42*g**2 + 2*g - 17*g + 4*g - 2*g + 463 wrt g?\nAnswer: -84*g - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 1428*x + 79649. Give i(-61).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120 + 479\/4. Let d = 0.01 - 23.01. Let z = -22 - d. Is z less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 0 - 2 - -22. What is the first derivative of -66 - u - 7*u**3 - l*u**3 + 8*u**3 - 6*u**3 wrt u?\nAnswer: -87*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -3*q + 4*q - 5*l, -5 = l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 150\/(-22) + 7*(-22)\/847. What are the prime factors of (-14)\/d*(-307)\/(-1)?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15528 + 19048. Calculate the greatest common factor of 110 and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88209 and 9173736.\nAnswer: 9173736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 2*k - 30, 16*k - 129 + 104 = 11*k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33225 + 33225 + 45*d**2.\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 745865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 1, v: 1, x: 1, f: 2, s: 1}. What is prob of sequence xu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2268)*3 - (-3*(0 + sqrt(7)) + -5*(-1 + sqrt(7)) + 1))**2.\nAnswer: -1392*sqrt(7) + 94228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 12938740.\nAnswer: 38816220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-360)\/(-96)*(-16)\/(-3). Suppose r + 2*z - 71 = 178, -y = -5*z. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, l: 7}. What is prob of picking 3 l?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u + 1 - 2)*(-1 + u**2 + 1)*(u**2 + 3*u**2 - 2*u**2).\nAnswer: 2*u**5 - 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**3 - 156*z**2 + 464*z - 18114. Determine r(39).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 4 + 5*l - 2*l + 9*l - 5*l. Determine z(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 504 and 1852074?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516*m = 3*s - 514*m + 1, 3*s - 5*m + 29 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1946\/2551 or -1?\nAnswer: -1946\/2551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101*o**4 - 9*o**2 + 2*o + 8892.\nAnswer: 404*o**3 - 18*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (589\/(-93))\/((-11)\/(-33)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 3*u + 14, -2*u = -4*g - 3 + 19 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -1315?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 7. Let r = -60 - -60. Suppose -v + 197 = -u - 61, r = -v - j*u + 228. Calculate the highest common divisor of v and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -263925*w - 4222802. What is m(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4195425 divided by 325\nAnswer: -12909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100010001010000000 (base 2) in base 13?\nAnswer: 265838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 588 - 573. Which is the third biggest value? (a) o (b) -5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1)*-1*-1. Let j(w) = 1. Let z(o) = o - 1. Let k(t) = t + 4. Let s(n) = k(n) - 2*z(n). Calculate i*s(q) + 5*j(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/264 and 145\/19272.\nAnswer: 19272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**5\/2 + 11*t**4\/2 - 3*t**3\/2 - 11*t**2\/2 - t = 0?\nAnswer: -2, -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16279? (a) -2\/15 (b) 1 (c) 2 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 2*x + 13. Calculate y(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/22*(-2)\/(-4)*2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-36)*(-29)\/406.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -32 - 3*q + 32 + q**2. Let n be h(3). Suppose n*g - 2*g = -466. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4097320, -4097324, -4097328?\n\"Answer: -4*w - 4097316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56279063 is divided by 4359.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -4, -120, 0.5, 0.3 in descending order.\nAnswer: 5\/3, 0.5, 0.3, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -206 + 208. Let l be 4 + -2 - (q - -4). Sort 1\/4, l, -1.64 in increasing order.\nAnswer: l, -1.64, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8851.8 - 843.\nAnswer: -9694.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 + 235. Suppose 0 = -5*f + 2*z + a, -2*f - 4*z = -45 + 7. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -389 less than -23750\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -276 smaller than -1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9565773 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -5 - (-3 - -2 - -6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(12*h + 6*h + 26*h) + (-3*h + 0*h - 2*h)*(-1 + 0 + 0).\nAnswer: -39*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g. Let k(l) be the second derivative of -3*l**4\/2 - 57*l. What is k(f(i))?\nAnswer: -450*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1135949.29 to the nearest one thousand.\nAnswer: 1136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 2*i + 21*z - 15*z, -81 = 12*i - 2*z - z for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5866.5 to the nearest 100.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 24 = -3*g, -5*g - 3*z = -g + 7. Let h be ((-18)\/g*(-2)\/3)\/(-3). Which is the smallest value? (a) h (b) 7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 + 1 + 57*u**2.\nAnswer: 57*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 17 - 14)*(-11 - 1 - 5)*(-14 + 14 - 5*a**3).\nAnswer: -2635*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164035 or -163802?\nAnswer: -164035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235804 and 51770?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2\/3))\/(t\/t**(-3\/4)))\/(t**(-2\/3)\/((t*t**3)\/t)) assuming t is positive.\nAnswer: t**(43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4985051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -559 + 560.55. Round u to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196052*u**2 - 196049*u**2 + 392110*u**2.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(336)\/sqrt(7)) + sqrt(3) - (1*sqrt(36) - sqrt(36))\/sqrt(12).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdbc when four letters picked without replacement from bfdbidcctfbbtbbfbbbc?\nAnswer: 9\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 14 - 22. Let m = s + -6. Calculate the remainder when 3*-14*(-4)\/m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d - 2*d + 11*d)*(0 - 7 + 1 + (0 - 2 + 1)*(3 + 0 - 5))*(-1 - 8 + d**2 + 2).\nAnswer: -88*d**3 + 616*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + q - 75. Let z = 3 + 26. Calculate the remainder when z is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8247540 to the power of 1\/2, to the nearest integer?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*z + 57*z - 100*z - 60 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*b - 2*o - 7 = 113*b, 58*b + 5*o + 145 = -39 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41901, 84102, 126303, 168504, 210705?\n\"Answer: 42201*j - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lsslssllllsl. What is prob of picking 4 s?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.76 + 1.73. Let r = 0.03 + v. What is the nearest to -1 in -0.5, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*o + 279 = 1001 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 531918216*s - 17683561782038916.\nAnswer: -4*(s - 66489777)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -10*v**3 - v**2 + 7*v + 6. Let a(x) = -9*x**3 - 2*x**2 + 8*x + 8. Let l(m) = 5*a(m) - 6*f(m). What are the prime factors of l(3)?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.09 + 0.013.\nAnswer: 1.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*j = -15, -2*k = k - 5*j + 9. Suppose 13 + 2 = 3*m. Let t be (-6)\/(-9) + m\/15. Which is the closest to t? (a) 4 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 39 = -67. Let t be (12\/(-5))\/(1\/(-5)). Suppose -t*u + 10*u = -16. What is the least common multiple of n and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118.1 + 118. Put -5, -0.4, -2, s in increasing order.\nAnswer: -5, -2, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - 3*b**4 + b**4 + (-1 + 1 - 2*b**2)*(277*b**2 - 136*b**2 + 166*b**2).\nAnswer: -615*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 16*r**2 + r. What is the remainder when 602\/6 + (-11)\/297*9 is divided by n(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*c + 73*c = -45776. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 18 = -4*o, -4*i = 5*o - 0 - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 215*p**4 + 284?\nAnswer: 860*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(18\/5)\/r**(-16) assuming r is positive.\nAnswer: r**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 182976.1 * -0.05\nAnswer: -9148.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46252 by 373.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360421 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -100, -115, -112, -85, -28, 65, 200?\n\"Answer: n**3 + 3*n**2 - 31*n - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27968, 223585, 754608, 1788761, 3493768?\nAnswer: 6037353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 59*u + 155. Let f be h(3). Suppose z + 30 = 5*n, 5*n - 6 = -4*z + 24. Suppose 5*j = 3*i + 5, 4*j - i - n = i. Solve -5 = j*s - f*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -68697*d + 6 - 191304*d - 8. Let l be k(-2). Round l to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 33404702\nAnswer: -33404702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, e: 16}. Give prob of sequence kkke.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -929\/3 + 309. Sort 5, j, 26, 0.1 in ascending order.\nAnswer: j, 0.1, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.01 - 0.01. Let f = 4 + -14. Let a = f - -5. What is the nearest to w in -1, a, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:36 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-29870)\/11 + (-6)\/11. Let a = 4102 + w. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -18*l - 8*l**2 - 2*l**3 + 14*l**2 + 23*l**2 + 8*l**2 - 3. Calculate m(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -196, -154?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-600)\/90 + (-13 - 2)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, e: 7}. Give prob of picking 2 e and 1 c.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2\/9 - 101512*d\/9 + 1288085768\/9 = 0.\nAnswer: 25378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 884766, 7077956, 23888048, 56623494, 110592746?\n\"Answer: 884742*l**3 - l**2 - l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**2 + 35*r**2 + 1099*r - 2199*r + 1097*r.\nAnswer: 46*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/((x**16*x)\/x))\/x))**(4\/3))**(20\/3) assuming x is positive.\nAnswer: x**(1360\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1\/c)\/c)**(-18) assuming c is positive.\nAnswer: c**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 2. Let x be k(-1). Suppose -5*w - 143 - 2 = x. Let n = w + 34. Solve -4 - 16 = 3*q + 5*h, n*q + 20 = 5*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1124812 and 4.\nAnswer: 1124812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 755, 367, -693, -2761, -6173, -11265?\n\"Answer: -56*i**3 + 4*i + 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 263*h = 262*h - 9, -k - 3*h = -h + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (13\/(-39) - (-532)\/21)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 - (-8 - (-6 + 3))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2))*-6 - (sqrt(72) + (-2*sqrt(72))**2).\nAnswer: -282 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -30. Is x not equal to -6\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -155*i**2\/2 + 4344. Let b(o) = 12*o. What is r(b(v))?\nAnswer: -1860*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = j + 4*j - 472, j - 83 = -3*d. Let a = 44 - j. Let t be 2\/(-6) + a\/(-9). Solve t = -6*q + q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 24. Let h be l(0). Let z(c) = -2*c**2 - 21*c - 12. Let f be z(-10). Let b be (-60)\/9 - (-9 - f). Which is smaller: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -230 and -135589?\nAnswer: 31185470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4*i - 28 = 0, 7*i - 5*i - 26 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.2, 2\/43, 4381?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117516677 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*sqrt(432)*2 + 4 + 1 + 2)**2)*3.\nAnswer: 4032*sqrt(3) + 83085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-529805)\/2346*(-162)\/(-1830) - -20?\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*sqrt(204) - sqrt(204))\/(1*sqrt(768)))**2.\nAnswer: 2057\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-5) - 26\/(-10). Suppose 12*p - 8*p = 16. Solve q + p*s = -0*q - 12, -8 = b*q - 2*s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 e, and 1 a when four letters picked without replacement from {e: 4, a: 3, o: 1, y: 4, w: 1}.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 194979, 389923, 584867?\n\"Answer: 194944*g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13d29b (base 14) in base 5?\nAnswer: -134024043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11341\/20 - 2834\/5. What is the smallest value in 0.2, -269, -0.2, b, 0?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*p + 12, 0*p + 5*p = 5*r - 10. Suppose -r*k + 7 = 4*s, -3*s = 5*k - 2*k - 9. Suppose u = k*u - 72. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 767d (base 14) to base 4\nAnswer: 11000033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18\/29 + 184\/203. Let d(l) = -30*l**2 - 151*l - 5. Let h be d(-5). Find q, given that h + 0*q**2 - j*q**4 + 8\/7*q - 6\/7*q**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -475737 or 848?\nAnswer: 848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0870852 to 4 decimal places.\nAnswer: -0.0871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 13. Let w be g(-18). Solve -15 = -5*d - w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2693655424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + -4 - 2 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -934452, -1868900, -2803348, -3737796?\n\"Answer: -934448*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1) + -14 + -5 + 10 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-85))\/((-174)\/493)*(-74 - -5).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p = -10*p + 72*p - 2304 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 3*u**2 - u + 1. Suppose 5*y = 3*v - 4, 7*v - 2*y = 4*v + 7. What is p(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from mxmmjyxyymfmypym.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3272432 by 1636216.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n + 12*n + 47*n + n - 59*n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1728\/1512)\/((-4)\/(-14)). Solve k = y*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = n - 2*n - 2*b, -452 = -5*n + 4*b. Solve -4*r = -72 + n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -51.038142.\nAnswer: -51.238142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 6*l - 15*l + 7*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -804905*m*p + 696921*m + 2 wrt p.\nAnswer: -804905*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/4 and -89\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54491320.\nAnswer: 2, 5, 13, 43, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*b - 33, 5*b = 3*s - 0*s + 5. Suppose -6*o = -b*o. Solve o = -4*p + 13 + 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from shxdxsw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165021, 165175, 165343, 165531, 165745, 165991?\nAnswer: 166275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k - 2*y = -6, -15 = -5*y. Suppose k*w = -w + 12. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**3 + 14728*l**2 - 14724*l = 0. What is l?\nAnswer: 0, 1, 3681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**6\/120 + q**5\/12 - 5*q**4\/24 + 4*q**3\/3 - 3*q**2. List the prime factors of h(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 30380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2 + 2618*v + 68744 = 0.\nAnswer: -26, 2644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from eheehheehdhdhebeea?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 8*f + 115206 - 115268)*(-f**3 + 0*f**3 + 3*f**3).\nAnswer: -12*f**4 - 124*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (7 + -4 + -3 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/7, 12\/109, -2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 49640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/20*-5)\/(6\/(-186)) and (-5)\/4*(-214)\/25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1068*c + 17027. Give q(-16).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5592 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56\/21 + 2\/(-3). What is the second derivative of -2*d**3 - 2*d**u - 3*d - d**3 + 2*d**2 wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/1219?\nAnswer: -7\/1219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 192 - 237 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*t + 2*u - 0, -5*u - 36 = -3*t. Suppose -c + t = 2. What is q in -5 - 4*q**3 + 5*q - c*q**2 + 5 - q**3 + 5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155357?\nAnswer: 337, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 747334405 to the nearest integer?\nAnswer: 27337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from yyggggoyqpo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 214 in -4, -1, 6, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 4*f + 2. Let l(s) = -s + 9. Let w be l(8). Suppose -3 - w = -z. Calculate c(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**4\/6 - 2*k**3\/3 + 3*k**2\/2 + 2*k + 338. Calculate o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-6)*-4*-3. Let r = -49 + 53. Solve 0 = r*z - 22 + u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 436854, 873865, 1310876, 1747887, 2184898?\n\"Answer: 437011*a - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14\/49*6\/12\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2. Let z be ((-2)\/1)\/(1\/(-2)). Let s = 7 + -3. Let p(b) = s*b - z*b + b. Calculate q(p(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 140320312233?\nAnswer: 140320312241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.1 + -5. Let q be (-5 - -4) + 6 + (-5)\/1. Suppose -10 + 1 = -3*j. Which is the second biggest value? (a) u (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 + b**2 - 850*b - 3343. Determine n(-4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**13*b)**(-2\/9)\/((b**9*b)\/(b*b**(2\/57))) assuming b is positive.\nAnswer: b**(-2065\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from bbbbabba.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36234*b**2 - 1139*b + 16 wrt b?\nAnswer: -72468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.53 to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o - 2. Let m be ((-12)\/10)\/((-2)\/5). Let s be n(m). Let q be (-12)\/(-26) + (-294)\/63*498\/(-91). Which is bigger: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3565 a factor of 1420795100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (4 - 6)) + (-1 - -18 - (323 - 254))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2020 divided by 1010\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millennium in decades?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18097 and -0.3?\nAnswer: -5429.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 128*x + 5. What is q(1)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 177409 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 13, 47, 125, 265, 485?\n\"Answer: 3*b**3 - 5*b**2 + 2*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - -44. What is the remainder when q is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 706, -9951, -38894, -95267, -188214, -326879?\n\"Answer: -1524*f**3 + f**2 + 8*f + 2221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 170*o**5 + 634*o**3\/3 + 2*o + 452. Find the third derivative of g(c) wrt c.\nAnswer: 20400*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8982 - 7\/((-63)\/(-108))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Suppose 4*q - q + 4*d = -14, 35 = 5*q - 5*d. Let f be o(q). Which is the closest to -0.1? (a) 5 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 9*u - 4. Determine x(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.12153 times -0.204?\nAnswer: 0.63679212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5*v + 39, 63 = 5*q + 3*v + 24. What is the first derivative of -75*h**2 - 4 - q + 83*h**2 wrt h?\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*p = -v + 19, -3*v - 2*p = 22. Let d(i) = 55*i + 442. Let c be d(v). Solve 1 = -2*a + c*m + m, -3*m = 2*a + 19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -3, -5, 15, -2, 3, -6 in ascending order.\nAnswer: -37, -6, -5, -3, -2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65623 + -65649.673. What is j rounded to one dp?\nAnswer: -26.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -298, -0.4, 92, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*2*5 + sqrt(171) + (sqrt(171) - (sqrt(171) + -3 + sqrt(171) + sqrt(171))*3) + -2 + (sqrt(171) - 3*(sqrt(171) + 1)) + 0)**2.\nAnswer: 24*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1175)\/(-270))\/(-47)*(-450)\/100.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*t - 0*t + 55 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*r**3 - r**3 - 19*r**2 + 19*r**3 wrt r?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 20*g - 123 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -64, -60, -58, -58?\n\"Answer: -v**2 + 7*v - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -23*f**2 - 13*f + 34. Let p be b(-1). Suppose 0 = 28*z - p*z. Solve 5*d + 5 + 3 = -r, -4*d - 2*r - 10 = z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.7 times -0.5?\nAnswer: -20.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**3 + 893*g**2 - 893*g**2 + (2*g - 4*g + g)*(-12*g - 8*g**2 + 12*g).\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -16320*g - 962827. Determine y(-59).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(7)*-1*2) + sqrt(7) + (1*sqrt(1008))**2 - (4 + -1*(sqrt(7) + -1)).\nAnswer: 5*sqrt(7) + 1003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 809*c**6\/120 - 85*c**3\/6 - 620*c**2. Find the first derivative of b(m) wrt m.\nAnswer: 2427*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 550 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - (-151 - (-64 + 10))) + -4 + -4 + 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -9*x**3 - 30*x**2 + 5*x + 50. Let w(j) = j**3 + 5*j**2 - j - 1. Calculate -r(i) - 6*w(i).\nAnswer: 3*i**3 + i - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:04 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14294184497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 13 + -44 + 73?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2527 - -114?\nAnswer: -2413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 16*x - 52. Let n be p(15). Let f = n - -33. Let h(w) = w**2 + 2*w + 2. Calculate h(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 468*f - 635*f + 61623. Solve 4*w - f = -377 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (39\/(-26))\/(6\/(-8)). Suppose -o - i*v = -25, -5*v + 94 = 3*o + o. Let r = -107\/5 + o. What is the nearest to 0.1 in r, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p = 200087 + 114528. Calculate the highest common divisor of p and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111101000111100 (base 2) to base 14\nAnswer: -b592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.37 + -0.07. Let l = -21 - -15. Let f = l - -6. Sort x, -1\/4, f in ascending order.\nAnswer: -1\/4, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 89976\/92 + 1 + (-2 - 5). What is the greatest common factor of r and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 2*t + 2. Suppose -2*k + m = -4 + 13, 4*k + 27 = 5*m. Let r be z(k). Let i(d) = -6 + r - d + d + 5*d. Calculate i(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 plus 3.6?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -39*c**3 + 231512*c**2 - 343599424*c + 70472192 = 0.\nAnswer: 8\/39, 2968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 1751. Let k(m) = -19*m - 7. Determine k(p(o)).\nAnswer: -38*o - 33276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, l: 9, i: 4, u: 2, o: 1}. What is prob of sequence lyi?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10444, 41779, 94004, 167119, 261124?\n\"Answer: 10445*u**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2303 - -2302.8. What is the second smallest value in 180, p, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25947 and 405?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**2 + 46*m**2 - 71*m**2 + 99*m**2 + 78*m**2.\nAnswer: 168*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -231 - -231. What is the closest to -3 in g, 1.9, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/(-6) + 5 + 5 + -9 and -55\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, w: 1, v: 5, b: 1, c: 3, g: 1}. Give prob of sequence cvvw.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22, 20, 18, 16, 14, 12?\n\"Answer: -2*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -489*u + 119. Let w(m) = -m. Let c(g) = -3*w(g) + z(g). Is c(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104380463.\nAnswer: 11, 23, 412571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2893339 is divided by 723266.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -2. Let k = 105 + -98. Let j = w + k. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-101)\/(-2) - -2) + (-10)\/20. Let w = 84 - f. Calculate the remainder when 61 is divided by w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 469*i**4*n + 2*i**3*n - i**2*n + 1963*i*n wrt i?\nAnswer: 5628*i**2*n + 12*i*n - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 9:06 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 68, 1\/13, 2276, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*s + 7*v - 4383, 0 = 2*s + 3*v - 2919. Is s a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -1\/16?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/13 and -79\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 979, -4\/5.\nAnswer: -4\/5, 3\/4, 979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 - 3*d + 4. Let w be s(2). Suppose 4*t - 12 = -2*h - 2*h, 0 = 5*h + 2*t - 24. Let x be 8\/w + (5 - h). Is x less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/3 + 8098*u**2\/3 - 8092*u\/3 - 16192\/3 = 0 for u.\nAnswer: -1, 2, 4048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3 - 54*n**2 + 117*n - 60 = 0 for n.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/10)\/(2*4\/(-40))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3 - 652227*y**2 - 1304490*y + 5217864 = 0. Calculate y.\nAnswer: -4, 2, 217411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/15 + -1 - (-35)\/175?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -65*m - 36. Let f(a) = 12*a + 8. Let g(q) = -5*f(q) - k(q). Let i(r) be the second derivative of -r**4\/12 + r. Determine i(g(z)).\nAnswer: -25*z**2 + 40*z - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6 - p - 4 + 0. Let k be m(0). What is the third derivative of -3*r**k + r**4 + 4*r**2 + r**2 wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1221, -2, -4, -7, 276, 3 in increasing order.\nAnswer: -1221, -7, -4, -2, 3, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at least 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100, 137, 174?\n\"Answer: 37*u + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/63))**(-1\/26)\/(z\/z**(-12\/13)*z)**(-14\/3))**(-4) assuming z is positive.\nAnswer: z**(-44692\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*m + 2. Let f = 282 + -149. Suppose -5*a - 25 = 0, 4*x - f = -0*x + 5*a. Solve -5*j - 5*w + x = -w, -w - m = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*c**2 - 7*c**2 + 3*c**2)*(-2 + 2 - 2*c) + 7*c**2 - 7*c**2 + 4*c**3)*(36 + 34 - 25).\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*t - 1790 + 306 = -194 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155 or -152?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1163 + 1169. Let q(i) = -10*i - 1. Let y be q(1). Let x = 16 + y. Is x smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 12*p**2 - 8*p - 19. Let j be (-2)\/(-7) - 6\/21. Suppose 0 = -j*w - 6*w - 72. Does 10 divide h(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*d - 34, -p + 3*d = d - 10. Solve 2 = -p*g + 26 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 + 0.3. Let k = 77.3 + -84. Let m = k - -7. Which is the closest to 1? (a) z (b) 3\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*c - 11642, 5*z = -c + 11058 + 588. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/1604589 and -91\/10?\nAnswer: 16045890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31136 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: Expand (1 + 1 + 1)*(338 - 9*z**3 - 324 + 10*z**3).\nAnswer: 3*z**3 + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, 5\/9, 247, -0.2 in ascending order.\nAnswer: -0.4, -0.2, 0, 5\/9, 247","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*u - 198. Suppose -11 + u = 11*v. Let l be (-3)\/((2 - -1) + -4). Solve -4 = 2*f - k, -8 = 4*f - l*k - v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 4*f + 3. Suppose -2*k + 2*s + 16 = 0, -k = -0*k - 4*s - 20. Let w be (-1 - 0)*k - (-11 - -12). Let v be 1\/((-1)\/1)*w. Determine a(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*1\/(-1) - 18\/18. Let d(i) = -11*i - 39. What is the remainder when d(u) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2\/(-6)*279\/124*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/9))**(2\/27) assuming z is positive.\nAnswer: z**(-2\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1749 - 1749 + 964*c.\nAnswer: 964*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 12, -3*h - 8 = 4*b - 29 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -15*r - 95 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let z be (-10)\/(30\/(-9)) - 1*2. What is the closest to 5 in -0.4, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 62831323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 14*x**3 - 5*x + 28. Let i(w) = -15*w**3 + 6*w - 29. Let r(k) = -6*c(k) - 5*i(k). What is the first derivative of r(d) wrt d?\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*u + 13. Suppose 9*z = u*z - 64. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from aaveaggagaaa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 7*m**2 - 5*m. Let t be p(6). Solve -2*c - t - 4 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/6)*g\/(((g\/(g\/g**(-4\/3)*g)*g)\/g)\/g*g*g)*(g**(-1\/3))**(-2\/51))**48 assuming g is positive.\nAnswer: g**(7784\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.65812 - -306.\nAnswer: 306.65812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*v**2 - 1572516\/5 - 2508\/5*v = 0. What is v?\nAnswer: -1254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okvaakarkyooaaa. Give prob of picking 1 y and 1 v.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lju when three letters picked without replacement from {u: 1, l: 1, j: 11}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20535, -20533, -20531, -20529, -20527, -20525?\nAnswer: -20523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2273, -2290, -2315, -2348, -2389, -2438, -2495?\n\"Answer: -4*j**2 - 5*j - 2264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -49. Suppose -32 + 8 = -4*z. What is the remainder when y is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-3.95.\nAnswer: 19.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -74 (b) 5\/3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.27 + -44. Let c = i - 0.26975. Round c to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*(sqrt(121) - (-3*((sqrt(121) - (sqrt(121) - (sqrt(121) - -2*sqrt(121)))) + sqrt(121)) + sqrt(121)))\/sqrt(11).\nAnswer: 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 2:21 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n + 24. Let i = 12 + n. Solve -3\/4*h**3 - 1\/2*h**2 + i*h + 0 + 3\/4*h**5 + 1\/2*h**4 = 0 for h.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -163153\/1043 + 319\/149. Let m = 154 + z. Put -5, -1\/4, m in decreasing order.\nAnswer: -1\/4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, 261, 0.13, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 842, 3411, 7692, 13685, 21390, 30807?\n\"Answer: 856*s**2 + s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-153)\/(-850)*192\/(-144)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 plus -36197?\nAnswer: -36197.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1878128\/(-100614)*(81\/7)\/3\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-100))\/((-8)\/(-20)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/((-10)\/(-8)) - -5. Let z be (2\/q)\/(0 + 231\/(-9)). Is 1 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 44\/4 - -1. Calculate the greatest common factor of 28 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 157368239 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -24. Suppose 2*m = 2*o - 2, 0 = 5*o + 8 + h. Let s(x) = x**3 + 4*x**2 - 4*x + 6. Calculate s(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 46290903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -1*(-3)\/(-3). Suppose -3*x = -h*m - 21, -2*x - 4*m + 0 = 6. Solve 2*d = -5*p + 21, 4*d + x*p = -2*p + 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 93*s**3 - 1034*s**2 - 118*s + 2631. What is n(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -54 and 10.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245312 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24990 - 7981 + 55208)*(i + 0*i + i) in the form r*i + u and give r.\nAnswer: 44474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 19 = -271. Let o = i - -65. Calculate the lowest common multiple of o and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 12 - 211*s + 4 + 72*s + 67*s + 8 + 68*s. Suppose -n - 28 = -6*n + 3*a, -3*n - 5*a = -44. Calculate l(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*r - 22, -2*r + 64 = -0*n + 5*n. Suppose -153 = n*g - 23*g. What is the remainder when g is divided by 4 + (-1)\/(11\/6 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/30*7\/(-4 + -3)*-5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-36) - (-1)\/(-4). Let o be (1 + 3)\/12*n. Suppose d - 5*d + s = -6, 0 = d - s. Solve q - 3*k - 12 = o, -5*q + d*k + 8 = -13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 9 - -24) + (-3 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -3, -4, 2, -67 in decreasing order.\nAnswer: 10, 2, 1, -3, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3731000 rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 5. Let g be v(-4). What is the greatest common factor of 45 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 1. Let r be m(0). Let s = 4.93 - -0.07. Which is the third smallest value? (a) 2 (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 10576*z - 5375. Let o(k) = -10606*k + 5372. Let s(g) = -5*o(g) - 6*y(g). What is the derivative of s(w) wrt w?\nAnswer: -10426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + -c6616?\nAnswer: -c65cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*c**3 - 161*c**3 - 84*c**2 - 95*c**3 - 75*c**2 + 5*c**3 + 162*c**2.\nAnswer: -296*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/234 and 37\/3?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 24*r + 2. Let f be a(-12). Solve 2*d**2 + 22*d + 2*d - 2*d - 22 - f*d = 0 for d.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y - 57. Suppose -x + 8 = -22. Let m = y + x. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*i**3 + 62*i**3 + 64*i**3 - 206*i**3 + 42*i**3.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4522*10\/15*3\/4?\nAnswer: 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 2*v**3\/3 + 8*v**2 - 21*v. Let s be d(-3). Suppose -j + 26 = 2*b - 3*j, -s*j = 4. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-8*h**3 + 7*h**3 + 4*h**3).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(3 + 17))\/(20\/(-224)). Find a, given that 6\/5*a**2 + d*a + 4\/5 - 14\/5*a**3 - 2*a**4 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = 154 - 110 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/(f\/f**(-2\/5)))))**(-24)\/(f**0\/f**(-2)))**42 assuming f is positive.\nAnswer: f**(1596\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-4)\/24*-27.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12798 divided by -24.\nAnswer: -2133\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -198 + 191, -3*j = -5*b + 44744. What is the thousands digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 5.5. Suppose 0 = 2*j + 22 - 0. Let y(x) = x + 8. Let n be y(j). Are l and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 14 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1395 greater than -6\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 261\/(-37 + 40) - 52?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.070989944 + 0.071. Round x to 7 dps.\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 + 132. Let d = o - 29. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5209.95 to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2864699?\nAnswer: 193, 14843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, g: 2, y: 4}. Give prob of picking 3 r and 1 y.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2. Let l = 4 + -2. Let o(w) be the first derivative of -3 + 4 - 4*w**2 + 0*w**2 + l*w**2. Calculate o(x(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1332, -1325, -1318, -1311, -1304?\n\"Answer: 7*a - 1339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 98.94971\nAnswer: -99.24971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18945566?\nAnswer: 2, 2357, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 10314768?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9735759ns in microseconds?\nAnswer: 0.0009735759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/37, 5, -19.1, -29.\nAnswer: -29, -19.1, -1\/37, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**4\/12 + 3*s**3\/2 + 11*s**2. Find the first derivative of g(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*j + 7*j - 17*j)*(3 + 13*j - 3 - 20*j).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/24)\/(4*4\/72)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 - 2*q**2 + 2*q - 1. Let p be j(1). Let h = p + -3. Let l be 4\/8 + (-15)\/22. Which is bigger: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39148, 157825, 355612, 632503, 988492, 1423573?\n\"Answer: -x**3 + 39561*x**2 + x - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + v. Let o(l) = 5*l**2 + l. Let z(j) = -4*j**2 - 2*j. Let n(a) = 3*o(a) + 4*z(a). Determine n(r) + 5*s(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, g: 2, c: 9, h: 3}. Give prob of sequence hsc.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*q + 3*h + 11, h - 23 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 - -23. Let u(a) = a**3 - 2*a - 2. Let g be u(-4). Let b = v + g. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -419279 + 418625.0546. Let b = k - -654. Round b to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 3, -1 in decreasing order.\nAnswer: 84, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/14*(((-52)\/8)\/1 - -10). Suppose -30\/7 - 2\/7*g**4 - 96\/7*g**w - 92\/7*g - 36\/7*g**3 = 0. Calculate g.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.927 + 0.927. Let f be 5\/(-30) + 2\/12. Let m = 4.09 + -4. Which is the second smallest value? (a) 6\/5 (b) m (c) g (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/7))**(-14) assuming a is positive.\nAnswer: a**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*a + 3*i - 34 = -87*a, 2*a - 3*i + 14 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgpbttttl. Give prob of picking 1 p and 1 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c (base 15) in base 11?\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4\/7 - 291*s**3\/7 - 857*s**2\/7 + 183*s\/7.\nAnswer: s*(s - 61)*(s + 3)*(5*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 7*i - 12. Let l(p) = 2*p**2 + 5*p - 12. Determine 5*l(g) - 4*r(g).\nAnswer: -2*g**2 - 3*g - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**8\/420 - x**4\/8 - 3*x**3\/2 - 2*x**2. Let z(g) be the first derivative of d(g). Differentiate z(n) with respect to n.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - 58. Suppose -q + t = 4*f, 0 = 5*q - 3*f - 0*f - 152. What is the greatest common divisor of q and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-4)\/3) + (-355)\/115?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 3*z**2 - 3*z - 3. Suppose -18*u + 1036 = 4510. Let s = u - -190. Give x(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoguouoouuuuouo. Give prob of picking 1 o and 1 u.\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/329961 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 18. Let v be 3*1 - 80\/5. Let c be g(v). Solve -4*t + 5*t + b + 3 = 0, t + c = -2*b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - 5*x**2 + 4*x - 15. Is z(-5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140 + 140. Put -25, b, -4, -1 in decreasing order.\nAnswer: b, -1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/4 - 6210175*p\/4 - 9315285\/2.\nAnswer: 5*(p - 1242038)*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3884 a factor of 449360518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2752 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 22 = -3. Let x be 4\/(-10)*(4 - 9). Suppose 0 = x*m - 16 - 8. Solve -m = -q*f + f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846666 is divided by 12270?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -54?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 11*w - 3. Let c be m(-5). Let a = c - -84. Calculate the remainder when a is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*f**2*u + 34*f**2 + 2*f*u - 69*f + 290816*u wrt f?\nAnswer: -12*f*u + 68*f + 2*u - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-921)\/13 + -2 + 14\/(-91). Let n = 125 + t. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 185*w**3 + 3*w**2 + 12*w - 116. Let t(l) = 370*l**3 + 7*l**2 + 28*l - 232. Let q(h) = -7*p(h) + 3*t(h). What is the derivative of q(r) wrt r?\nAnswer: -555*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1592 is divided by 308.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109 + -50. Suppose -106 = -5*c + d. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.055 + -843.\nAnswer: -842.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 6:03 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 11*w + 274. Let c be h(-12). Let t(v) = -3*v + 1. Let k(d) = -4*d + 9*d + 0*d - 2. Calculate c*k(r) - 5*t(r).\nAnswer: 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4 (b) 28 (c) 0 (d) -2868.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/3 - 554*s**3\/3 + 29927*s**2 - 3615404*s\/3 + 42588676\/3.\nAnswer: (s - 251)**2*(s - 26)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**3*s - 2*m**3*x + 32*m**3 + m**2*s - 7*m**2*x - 6*x + 3 wrt m?\nAnswer: 24*s - 12*x + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/6, -800, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 - (-1)\/4*-4. Suppose -3*n + 8 = -g, 0 = 2*n - g - 4*g - 1. Suppose 0 = -2*f + c + n. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -52*n + 185. Let m be h(-24). Suppose -9*p + m = -1105. List the prime factors of p.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 y when three letters picked without replacement from ybdccbjf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/9, -24, 1?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5408.45ng in kilograms?\nAnswer: 0.00000000540845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3447*i**3 - 8541*i**2 - 550*i - 130109 wrt i.\nAnswer: 20682*i - 17082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l. Suppose 3*w + 0*w = l. Suppose -t + 3 - 1 = w. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, -1\/2658, -2\/3, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2578 divided by 2.\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(980) + 1*sqrt(980) - sqrt(980))*4 - (5*(sqrt(980)*-1 + sqrt(980)) + sqrt(980)))\/(sqrt(8)\/(6*sqrt(6)\/sqrt(3) - sqrt(2))*-3).\nAnswer: -35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19222349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 8*p**2 - 5*p + 2. Determine n(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250916 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2046661 by 3.\nAnswer: 2046661\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2918.\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2720, 0, -2, 9, -224 in ascending order.\nAnswer: -224, -2, 0, 9, 2720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -351533166398 take away 2.1?\nAnswer: -351533166400.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 bigger than -12\/6779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + d + 53, 2*w - 6*w = 5*d - 77. What are 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 0\/(1 - (-1 - 0)). Let j(g) be the first derivative of 0*g**4 + 4 + 0*g**2 + 1\/5*g**5 + h*g**3 - 5*g. Find the first derivative of j(q) wrt q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 93 - 70 + 163.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004546957 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4632184803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 2 - 2)*(1 - 2 + 2 - 2 + 3 - 3 + (0 + 0 - 1)*(0 + 1 + 1)) to the form v + g*m and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1919096 - 1919096 + 1308*k in the form z*k + g and give z.\nAnswer: 1308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21073, -21092, -21109, -21124, -21137?\n\"Answer: m**2 - 22*m - 21052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -748*h + 635*h**5 - 718*h + 2*h**3 - 28*h**2 + 1435*h + 129*h**5 wrt h?\nAnswer: 45840*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 359, 1609, 3689, 6599, 10339, 14909, 20309?\n\"Answer: 415*x**2 + 5*x - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -148740.94 rounded to the nearest one thousand?\nAnswer: -149000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 204*p**2 + 9649*p + 41796.\nAnswer: -(p - 43)*(p + 4)*(p + 243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3 + 87598*g**2 - 10533360*g + 316216800 = 0.\nAnswer: -43919, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 173561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6\/19)\/q)\/q)**(7\/8)\/(q**(-17\/5)\/(q\/q**(7\/2))) assuming q is positive.\nAnswer: q**(-107\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/1980*-5)\/((-12)\/96*18)?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9553 and 4469.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1138617 - 111*d - 1138614 - 66*d)*(0*d - d - 2*d).\nAnswer: 531*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -34*u - 4*u + 2*u. Let b(o) = -4*o - 4903452 + 4903452. Determine v(b(d)).\nAnswer: 144*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 43 + 11 - 60, -5*x + 3*n = -13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - -2*sqrt(336))\/sqrt(3) - (sqrt(847) + (2*sqrt(847)*-5 - sqrt(847) - sqrt(847)))**2.\nAnswer: -102487 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -293603418 - -585\nAnswer: -293602833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 + 1121?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -24, 9, 76, 189, 360?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*h + 32. Let w = -1078 + 1083. Suppose h*m + 27 = c, -5*m + 45 = -0*c + w*c. Calculate the remainder when 44 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6648 by 1405.\nAnswer: 6648\/1405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 15, 2396, 5 in increasing order.\nAnswer: 0, 2, 5, 15, 2396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and ((-2412)\/10)\/((-222)\/(-60) + -4).\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 26, 2\/305?\nAnswer: 2\/305","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21780 divided by 6\nAnswer: 3630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/537? (a) -0.4 (b) -25 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 13*j + 10. Let r be k(-12). Let m = 2 - r. Solve -t - 4*n = 1, -m*n + 11 = 4*t + t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 81847061 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvd when three letters picked without replacement from yvdydv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zii when three letters picked without replacement from {z: 1, i: 3, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-26) - (-2068)\/(-28314). Let y = 1\/33 + z. Sort -1\/3, y, -3, -0.2 in increasing order.\nAnswer: -3, -1\/3, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**2\/2 - 3*c - 2. Let h be v(6). Let s = 4 - h. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3771 - 3773. Let g = 73 + -49. Sort r, g, 5, 4 in decreasing order.\nAnswer: g, 5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (-1 + -1)) + (829 - 831) + 31.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15 and 593963.9550205.\nAnswer: 593948.9550205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 6, r: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7053465 is divided by 841.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k*r**3*t + 2*k*r**2 + 2*k*r*t + 2*k*r - 586*k*t + 30*r**3 wrt t.\nAnswer: 2*k*r**3 + 2*k*r - 586*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9344528 + -6142528. What is l rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 4*l = 3*f - 256, -338 = 5*f + l. Let y = f - -68. Solve 0*b - y = 3*b + 4*j, 2*j = 5*b - 33 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**32)**(-9) assuming t is positive.\nAnswer: t**(-288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 818, 1637, 2458, 3281, 4106, 4933, 5762?\n\"Answer: l**2 + 816*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1821725643 rounded to the nearest 10000?\nAnswer: 1821730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/6 of a year?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.99 + 0.01. What is the third biggest value in 5, 9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15184 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: What is the tens digit of 40836145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880348 is divided by 1804?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 2991 = -645. Let p be 2\/(-6) + (-920)\/r. Let y(a) = 3*a + 12. Determine y(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25361 (base 8) to base 13.\nAnswer: -5008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = 50*t - 53*t - 0*m - 10*m, -2*t + m = 87 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 8:01 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 8 - 29) + -3\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/10887 and -25\/437.\nAnswer: 250401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 1\/11*d**2 - 6\/11*d + 9\/11 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z + 18*z**2 + 21*z - 2 - 15*z + 4 - 10*z**2 as c*z**2 + j + r*z and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -267 != -252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/547314 and -59\/158433.\nAnswer: 6020454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 44, 11695, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzj when three letters picked without replacement from jjjjjgnnjzzj.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2324, -2322, -2318, -2312?\n\"Answer: v**2 - v - 2324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44981 = -1225*b + 11906 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6105+0.5511\nAnswer: 6105.5511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -203 - -285.9. Let m = y + -120.8. Round m to 0 decimal places.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 561 and 8721?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 1.3. Let h = -0.043 + -3.257. Let g = h - -0.3. Put l, -0.2, g in descending order.\nAnswer: l, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i**2 - 16. Let x(l) = -4*l**2 + 7. Give 4*r(g) + 9*x(g).\nAnswer: -4*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = -0. Suppose -n*m = -6*m + 3. What is the highest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 4*f + 5*s, s - 37 = -f + 2*s. Let u(t) = t**2 + 10*t + 8. Let a be u(-6). Let x = 12 - a. What is the highest common divisor of f and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/11)*l**(2\/43))**16)**26 assuming l is positive.\nAnswer: l**(44928\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 9:09 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27624*d + 27633*d + 13033*d**3 - 55257*d.\nAnswer: 13033*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0*(106\/(-689) - (-6)\/(-130))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -112*u + 37. Let p(g) = 49*g**2. Determine p(x(o)).\nAnswer: 614656*o**2 - 406112*o + 67081","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + -1 + 10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.13 - -6.13. Let g = 0.5 - -9.5. Let v = g - l. Put v, -1\/4, 1 in decreasing order.\nAnswer: v, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**3)\/o**(-5))**(2\/139)\/((o*(o\/o**4)\/o)\/(o\/o**(2\/3)*o)*o\/((o*o**(-3\/5)\/o)\/o)*o**6) assuming o is positive.\nAnswer: o**(-8806\/2085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 4)*(-2)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -216608 divided by -112\nAnswer: 1934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 12*k**3 - 11*k**2 + 12*k - 4. Let o(m) = -6*m**3 + 6*m**2 - 8*m + 2. What is 3*g(w) + 5*o(w)?\nAnswer: 6*w**3 - 3*w**2 - 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*u**3 + 9 + 20*u**3 - 6*u - 334*u**2 + 6*u + 702*u**2 to k*u**2 + g*u + t*u**3 + v and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 464.4 + -464.8. Let h = 27.3 + -25.27. Let z = h - 0.03. What is the third smallest value in v, 3, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 514, 1004, 1440, 1792, 2030, 2124, 2044, 1760?\n\"Answer: -5*l**3 + 3*l**2 + 516*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502224 is divided by 61?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50018011 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - ((-2 - -5) + 0). Let n(p) = -3*p + 2. Let j be n(1). Let i = j + 11. What is the highest common factor of i and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -60630.03 and 1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + -1 - (-12 - 44 - -35 - -24)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228730, 915151, 2059180, 3660811, 5720038, 8236855, 11211256?\nAnswer: 14643235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11294151 times -0.1\nAnswer: 1129415.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*w + 39*w - 197*w + 37*w + 40*w + 44*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**2 + 771872*q + 37236649024 = 0?\nAnswer: -96484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*l**2 - 19*l**2 + 261 - 257 + 2*l + 2*l**3 to j + h*l + o*l**3 + y*l**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**4\/10 + 371*p**3\/5 + 30*p + 18. Suppose c(z) = 0. What is z?\nAnswer: 0, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from {o: 2, i: 7, m: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -310, -335, -360, -385, -410?\n\"Answer: -25*f - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*i*s**3 - 9*i*s**2 + i*s + 12337*i - 37357*s**3 - 5 wrt i.\nAnswer: 4*s**3 - 9*s**2 + s + 12337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92\/3 + -31. What is the second smallest value in c, -6, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + k + 4)*(-25 + 18*k - 19*k - 209)*(k - 3*k + 3*k) as z*k + n*k**2 + y + p*k**3 and give n.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -344 (b) -2 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.34*3.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a - 358 - 71 + 1111 = 0 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15428\/47 or 329?\nAnswer: 329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 3*g - 11. Give z(10).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1040 and 1383280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 37*k**2 - 49*k + 1442. Determine t(37).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 718664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*w + 4*t + 784, -3*w - 4*t = -769. Suppose z + a = 57, -4*z + 5*a + w = 2*a. Suppose -6 = 4*x - x, 2*x = -3*n + z. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28748 - 28748 + 715*s in the form k + l*s and give l.\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 62 = -5*y - 2*m, -2*y = -4*m - 72. What is the remainder when 35 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5610)\/(-204)*(-40)\/50.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 3:16 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1020*g**2 + 15*g + 34. Is l(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3*a**3 + 0*a**3)*(4*a + 4*a - 3*a) - 20*a**4 - 3*a**4 - 3*a**4.\nAnswer: -11*a**4 - 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -0.5, 0.2, 172, 2\/17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-8 - 3) - -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-6*(sqrt(171) + 1))**2*2 - (-6*(-3 + sqrt(171) + -2*sqrt(171)))**2).\nAnswer: -35424 + 1296*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 17. Let z(g) = -6 + 1 + 2*g - 2. Let c be z(a). Solve -2*p - w = -c*w + 18, 5*w = 4*p + 21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 315*l = -312*l + 4, 5*j = -4*l - 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -w - 1, -5 = -5*w - k + 1. Suppose 2*r + w = r. Let p be ((-14)\/35)\/(-2 - r). What is the smallest value in 0.2, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*j - 53*j = 0. Suppose j = i - 0*i - 3*l - 19697, 5*i + 4*l - 98504 = 0. Round i to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from {q: 7, x: 7, d: 1, w: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -33, -1\/3, 2\/21, 2\/17?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -737710*u**6 - 119517*u**2 + 3.\nAnswer: -88525200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.391 times -0.3\nAnswer: 0.1173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.9*-7.\nAnswer: 223.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 3:37 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271098045?\nAnswer: 3, 5, 6024401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 - 0.30885920128?\nAnswer: 334.69114079872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -16*o + 2. Suppose o*n + n = 9. Factor 0*m + 2\/7*m**n + 0 + 2\/7*m**2.\nAnswer: 2*m**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxexxe. What is prob of picking 2 x?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 268, 1168, 2662, 4744, 7408, 10648, 14458, 18832?\n\"Answer: -o**3 + 303*o**2 - 2*o - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170412870?\nAnswer: 2, 3, 5, 43, 132103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01622 - -0.01378. What is the nearest to a in -1\/2, 5, 2, 0.005?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-2 - 1)\/(-1). Suppose c = -3*j - 5*s + 470, 0 = -j - 4*s + 3*s + 160. Let x = j + -38. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 - -62. Suppose -25 + n = -5*v. Suppose 11 = 5*c + h, -4*h + 0*h = -v. Put -3, -14, c in decreasing order.\nAnswer: c, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10497 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-680)\/(-16)*(-4)\/(-5)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 and 1\/1103557167.\nAnswer: 1103557167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 0*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 - 15*i + 10. Let u be t(4). Let d be u + 18\/2 + -4. Is -2 + (4317\/2 - d\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 25*f**2 + f. Let l be z(1). Suppose -o = 3*x - 17, -3*o + 2*x = o - l. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**3 - 5*n**2. Suppose -h + 4 = -1, 3*r = 2*h + 5. Let l be r*2\/(1 + 1). Let w(y) = 0*y - y**2 + 5*y**3 + 0*y - 3*y**2. What is l*w(b) - 4*t(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 22*j - 2*j + 7*j + 1.\nAnswer: 27*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from {h: 1, x: 2, r: 1, d: 1, v: 2, p: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 174\/8 + (-1 - -2) and ((-510)\/(-12) - 8) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i + 95 - 23. Let k(p) be the third derivative of -197*p**4\/24 - 13*p**3\/2 + 9*p**2. Is k(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 5. Suppose -k*s = -2*s. Is -2 - (s + 2 + -39) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1169*1\/(-3) + 1. Suppose -3*q - 3*q + 2256 = 0. Let k = q + i. Find the common denominator of -46\/9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-5) - (-28 + 43 - 56)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3 = -2*c + 1, 3*s + 2*c - 12 = 0. Solve 2 = 5*y - 0*t - 4*t, 5*t + 19 = -s*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4787.307km to centimeters.\nAnswer: 478730700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 29831270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 601*i + 4. Is b(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**2 - 330*k + 13182. Let c(f) = 23*f. Give c(d(v)).\nAnswer: 46*v - 7590","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 355 * 205.4\nAnswer: 72917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62? (a) -7\/729 (b) -4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23041689\/160 - -144010. What is the common denominator of a and -133\/24?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5311 + 10566 - 5407 = -689*w - 1056*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*16\/(-36))\/((-1160)\/(-1044))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -2, 2 in increasing order.\nAnswer: -5, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -16*p + 3 + 2 - 3 - 4. Is a(-2) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2902638 - 38.\nAnswer: 2902600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 12*p. Let m be j(1). Suppose -m = -4*x - 4. Let v = 26 - x. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4990991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 4, -5, 2 in increasing order.\nAnswer: -5, 2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*15 + -2. Let b be r\/3*(-42)\/(-56). Suppose 0*o - b*o = o. Does 0 = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7*d - 7)*(-1 + 3 + 2 + (-1 + 0 + 0)*(-1 - 4 + 4) + 1 - 1 - 4) to the form f + k*d and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 9 - 70 + 9 + 21 - 2*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1072 is divided by 153.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -11*j**2 - 1281. Let n(d) = 28*d - 2. What is g(n(m))?\nAnswer: -616*m + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5 - 174\/(-15). Suppose 2*j + n - 46 = -4*n, 3*n = v. Let t = j + -6. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2414, 2707, 3304, 4295, 5770?\n\"Answer: 15*n**3 + 62*n**2 + 2*n + 2335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*v + 23. Suppose -7*u - 88 = -18*u. What is the lowest common multiple of v and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2044 + 2045. What is the remainder when 1 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3693.431 minutes?\nAnswer: 221605860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r + 15*r - 4*r - 4.\nAnswer: -r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 2 + w - 3*w - 6. Let z be g(-8). Suppose m = z*p + 40, -4*m - 5*p + 79 = -186. What is the greatest common factor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 0*j + 0*j)*(-3 + 2 + 0) + 8*j + 5*j - 14*j + 6*j - j + 7*j + (-1 + 4 - 2)*(j - 2 + 2) + j - 5*j + 2*j to r + w*j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5*d = -4, -3*d + 2 + 1 = -y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/5 - 4*v**2\/5 - 2708*v\/5 - 540.\nAnswer: 4*(v - 27)*(v + 1)*(v + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.272199 centuries in months?\nAnswer: 11126.6388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -123126 + -252?\nAnswer: -123411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.446 and -0.1.\nAnswer: 2.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hkkkkkkkh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(245) + 1 + (2*sqrt(125) - (sqrt(5) + 1*sqrt(45))) + 4)**2.\nAnswer: 78*sqrt(5) + 854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*36\/351?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 0*d**2 - 1\/6*d**3 - 1\/5*d**5 - 3\/4*d**4 + 0 + 2*d - 1\/45*d**6. Let c(l) be the second derivative of i(l). Factor c(y).\nAnswer: -2*(2*y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98342067 rounded to the nearest 10000?\nAnswer: 98340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1160845.2 minutes?\nAnswer: 19347.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (-16)\/3)*-3. Suppose 3*h + 4*o - 4 = a, -20 = 2*h - 4*o. Suppose -7*k = n - 4*k - 14, 15 = 5*n + 4*k. Is n at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a - 4386 + 79350. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -4 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 4 - 5*q**5 + 6 + (-2*q + 3*q + q)*(0*q + 0*q - 2*q**4) - 4*q**5 + 2*q**5 + q**5 - 93*q**5 - 93*q**5 + 170*q**5.\nAnswer: -26*q**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3749, 2972, 2195, 1418, 641, -136?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14949 + -23689365.\nAnswer: -23674416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55416664.\nAnswer: 2, 6927083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7312 and 392563?\nAnswer: 6281008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -4\/3*u**3 + 0*u + 0 - 5*u**2 - 1\/4*u**4 + 1\/60*u**5. Give y(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 202196 = -15958. Let c be i\/(-10) - 9\/15. Suppose 4*h - c = -2*l + l, 3*l = -3*h + 1074. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 12 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 5:45 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22101732 divided by -6\nAnswer: -3683622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 13*p + 3. Suppose 44*s + 46 - 706 = 0. What is t(s)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(64)\/sqrt(8) - ((sqrt(64)\/sqrt(2))**2 + sqrt(2)).\nAnswer: -32 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 396719?\nAnswer: 396724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 - 3 - (-13 + (45 - -1) - -3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2973 divided by 19280\nAnswer: -2973\/19280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*q)*(-1 + 1 + 2)*(15 - 13 - 30)*(-1 + 1 - 1 + 5*q).\nAnswer: -840*q**2 + 168*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 8034115 and 8034096 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v\/(v**(4\/11)\/v))\/v*v\/(v**(-17)\/v) assuming v is positive.\nAnswer: v**(227\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*o**2 + 4*o**2 + 0*o**2 + o**2 - 1 + 1 + (0*o + 0*o - 2*o**2)*(0 + 2 + 1) + 4*o**2 - 5*o**2 - o**2 as h*o + s + c*o**2 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 l when three letters picked without replacement from {l: 3, y: 8}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27, 35, 43, 51, 59, 67?\n\"Answer: 8*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.36 - 0.06. Let z = 0.30000042 - v. Round z to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - 33\/3 - (-30)\/6. Suppose -g + 3*g = 14. Which is the second smallest value? (a) -3\/4 (b) 2 (c) g (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1447529?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22 + 2 + 1)*-3. Suppose 0*y + 5*m = -y + x, 0 = -2*m + 6. What is the remainder when y is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let x = 0.2 - k. What is the closest to x in -0.4, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 9*f + 16 - 55, -18*f + 4*q + 0*q + 66 = 3*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36627709, 36627706, 36627693, 36627664, 36627613?\n\"Answer: -a**3 + a**2 + a + 36627708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 2*o**3 + 6 - 4*o - 1\/2*o**4 - 2\/5*o**5 + o**2. Suppose x(f) = 0. Calculate f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(-11 - 5 + 0)*(2 - 2 + p).\nAnswer: 48*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*m = 26 - 383 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06947 + 0.16947. Which is smaller: k or 534.9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 6?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 3*r - 10. Let d be m(-5). Suppose i + 243 + 44 = d. Let v = i - -5987. Round v to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.040819 (b) 1\/29 (c) -2 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1002141 + -3?\nAnswer: -1002144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 0, 3*q + q - 5*i = 84. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + y**3 + y**3 + (0*y + 2*y + 0*y)*(-5*y + 5*y + 2*y)*(-3917*y + 2217*y + 1937*y).\nAnswer: 950*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -26 (c) -3 (d) -1\/4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36806\/6 - ((-728)\/39 + 19). Solve 6126*r = j*r + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.58986 - 49.\nAnswer: -37.41014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (27 - (3 - -3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cb - 44b3?\nAnswer: -43e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:32 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93307\/17 - -5487. Let w = -89\/85 - s. Let g = 16 + -63\/4. What is the third biggest value in g, 2\/5, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 6 - 2 - 6*j + 0 + 9*j. Let q be p(0). Let g = -7.15 + 0.15. Which is the second biggest value? (a) g (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 691 = -5*n + 109, -2*n = 5*c - 320. Let q = -1499 + 1639. Calculate the least common multiple of n and q.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 10608 = 23*z - 20*z. What is the greatest common factor of 240 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 2*x - 1. Let n be u(1). Let i be (3 - 1)*3\/n. Let j(t) = t**3 + 7*t**2 + 7*t + 4. Let b be j(-6). Which is bigger: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/(-72) - (-10)\/(-45). Solve 0*x + 1\/4*x**2 + 0 - 1\/4*x**4 + 1\/4*x**3 - o*x**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 - 50. Calculate the highest common divisor of 46 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-10) + (-184)\/(-40). Let u be (1 - l - -1)\/(-2). Let g = 2 + u. Is 2 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -11 - 5*a + 8*a**2 + 3*a**2 - 6*a + 5*a**3. Let r(l) = l + 2. Let y be r(20). Let d(h) = -h**3 - 2*h**2 + 2*h + 2. Give y*d(n) + 4*m(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 16*c**3 - 16*c**2 - 11*c - 10. Let l(o) = -2*o - 3*o**2 + 166*o**3 - 2 - 140*o**3 + 0 - 23*o**3. Determine -22*l(i) + 4*r(i).\nAnswer: -2*i**3 + 2*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**5\/6 + 1510*u**4\/3 - 131803*u**3\/6 - 143875*u**2\/3 + 87866*u + 183780 = 0.\nAnswer: -3063, -2, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33156 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 10*k + 15. Let v be y(-11). Suppose -5*h + v*p + 22 = -0*p, 4*h + 3*p = -1. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -576, -792, -784, -432, 384, 1784?\n\"Answer: 20*l**3 - 8*l**2 - 332*l - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/5)\/((p\/(p\/(p**3\/p)))\/p))\/(p\/(p**(-4)\/p)*p**(-2\/9)))\/((p\/p**(2\/31))\/(p\/(p\/p**(1\/16))))**(-28) assuming p is positive.\nAnswer: p**(97459\/5580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-2.190503\nAnswer: 0.6571509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2656, 9416, 20684, 36460, 56744, 81536, 110836?\nAnswer: 144644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/3 + 620*y**3 + 430586*y**2\/3 - 288920*y + 434312\/3.\nAnswer: 2*(y - 1)**2*(y + 466)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93565 smaller than 93577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 749 = 5*n + 79, 3*n - c - 394 = 0. Solve -17*u + n = 31 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -531 + 519. What is the second biggest value in 0.8, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209) - (sqrt(209) + sqrt(209)*-3))*6)*-4)\/(-5*(sqrt(11) + sqrt(891)*6)).\nAnswer: -68*sqrt(19)\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-18)\/(-8))\/((-5967)\/(-204))?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:51 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 2*c - 5*c)*(133 + c + 139 - 255) in the form u*c + s + f*c**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 4*o**2 + 6*o**2 - 6*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282 and 4935.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3519780 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/5 + (-18)\/(-15). Let x(t) = 7*t + 5. Let w be x(4). Let k be 0 - 1 - w\/(-27). Do n and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26303*a*i**2 + 4*a*y**3 - 613*a*y - i**3 + 3*i*y**3 wrt i?\nAnswer: -52606*a*i - 3*i**2 + 3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 + 1292264*s**3 - 104434942084*s**2 + 10225318029024*s - 250444297986624.\nAnswer: -4*(s - 161484)**2*(s - 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 276 = 237. Let z(w) = w**3 - 6*w**2 - 4*w + 4. Let c(q) = -2*q**3 + 13*q**2 + 9*q - 9. Calculate r*z(k) + 6*c(k).\nAnswer: k**3 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taxtexxheaeeeeeeje. What is prob of sequence tt?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n. Let w(f) = -1. Suppose 0 = -5*m - 0 + 5. Let d(s) = m*v(s) + 2*w(s). Is d(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*k - 30, -5*k - 154 = -4*d - 0*k. Suppose 3*h + 3*p - d = 0, 20 = h + 4*p - 4. Suppose 0 = 2*n + 2 - h. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*d - 15 = -s, 2*s + 5*d - 19 = 0. Suppose -2*z + r + 73 = 0, 0*z + 4*z = -s*r + 150. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 725 = -p, 3*q - 37*p - 435 = -39*p. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/((-384)\/264)*2. Let x(m) = -3*m**2 - 35*m - 36. What is x(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**5\/3 - 328*z**4\/3 - 8566*z**3\/3 - 16460*z**2 + 41925*z - 22500 = 0.\nAnswer: -300, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 + -101\/2. Let s = -9 - -4. What is the nearest to 0 in a, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 13033?\nAnswer: 26066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 153922 and 0.3?\nAnswer: 153921.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1306, 1305, 1308, 1315, 1326, 1341, 1360?\n\"Answer: 2*j**2 - 7*j + 1311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j - 0*j. Solve 2*s - 9 + 1 = j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 5*a + 13, q + 10*a = 8*a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + s)*(s**2 - 7*s**2 + 4*s**2) + (5*s - s - 5*s)*(10*s - 10*s + 2*s**2 + 6).\nAnswer: -4*s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 8*a**2 - a - 9. Let k be v(9). Factor -4*b**5 + 8*b**2 + 5*b**5 - 26*b**5 + k*b**4 + 7*b**4 - 44*b**3.\nAnswer: -b**2*(b - 2)*(5*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*v - 1 - 2*v**2 + 4*v**2 - 144*v - 6*v**3 + 17*v**3 - 162*v to the form n + s*v**3 + o*v + r*v**2 and give o.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 263*7\/7*(-1)\/(-1). Suppose -4*d + 4*f + 13 = -1007, 3*f - l = -d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 119*t**3 + 49*t**2 - 49*t + 49. Let l be (-20)\/9 - (-1 - 14\/(-18)). Let p(h) = 5*h**3 + 2*h**2 - 2*h + 2. Calculate l*q(w) + 49*p(w).\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3. Let u(i) = -1022. Let d(o) = -545. Let y(a) = -15*d(a) + 8*u(a). Let f(r) = -3*r + 2. Calculate p*f(x) + 3*y(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((1 - -9) + -6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**6 - 764*i**5\/5 - i**2\/2 - 1171*i - 4247. What is the second derivative of c(l) wrt l?\nAnswer: -120*l**3 - 9168*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 2*w - f - 3, -f = 4*w + 3. Solve 2*l - 5*z + 8 = 0, 4*l + w*z + 3*z = 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 0*w**4 - 1\/4*w**5 - 1\/2*w**2 + w - 1 + 1\/2*w**3. Let m(p) = -6*p**3 + p**2 + 4*p - 1. Determine 3*m(h) - 4*y(h).\nAnswer: 2*h**3 + 3*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206632*h**2\/5 - 206633*h\/5 - 1\/5 = 0 for h.\nAnswer: -1, -1\/206632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 820 (base 11) to base 15\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171111 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1861, -3832, -5801, -7768, -9733?\n\"Answer: x**2 - 1974*x + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -c947 (base 14) to base 13\nAnswer: -12a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*d - 24 = 0. Let c(y) = y**2 - 3*y + 3. Let o be c(d). Let a = -3 - -8. Calculate the greatest common divisor of a and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -69. Let s be (-5 - (r + -12))*-3. Which is the nearest to 0? (a) -1\/5 (b) -1\/3 (c) s (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -4, -1, 1\/3, -299, 488\/11?\nAnswer: 488\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 + 69 - (-9 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-3 - (-2 + -7 + 3) - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m. Let x(a) = -3279*a. Calculate g(x(i)).\nAnswer: 36069*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from olooooloololoolo.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 3:05 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**3*t**(-2\/19))**38 assuming t is positive.\nAnswer: t**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -3)\/(2\/1). Suppose y = -3*b + b. Suppose w - 5*i - 36 + 3 = 0, b = 5*w + 3*i - 81. What is the highest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7419 - -7418.6. Put 0.05, k, 1, -33 in decreasing order.\nAnswer: 1, 0.05, k, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (2*sqrt(243) - sqrt(243)) + -3 + 4 + 0 + sqrt(243) + 2)*-1)**2.\nAnswer: 180*sqrt(3) + 997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2051 (b) 2\/13 (c) 105 (d) 1\/30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 190912903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -84, -83, -10 in ascending order.\nAnswer: -84, -83, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68696 by 34348.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -8 (b) -4 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -422, 18, -1, -0.2087?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - 15*m**2 - 8*m - 8. Let n be x(-7). Let t be 10\/(-25)*(-2 - n)*55. Let d be 25 - (5 + -1 + -2). Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5259.2 + 5259. Sort 1, y, -4, -32, 5.\nAnswer: -32, -4, y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.359141 years in centuries?\nAnswer: 0.00359141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 9:17 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2894 + 2899. Which is the closest to 24? (a) 4 (b) s (c) -1\/6 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-12))\/((-6)\/12). Suppose 4*q = -2*y + 6, 4*q + 4*y = 4 + 12. Are q and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -2)*5\/15. Which is the smallest value? (a) q (b) -7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 x, and 2 i when four letters picked without replacement from {c: 2, d: 2, r: 2, f: 8, x: 1, i: 2}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1859*r + 7444. Give t(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 1:29 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 32, -58, -65, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2. Let x(i) be the third derivative of -i**7\/126 - 3*i**4\/8 - i**2. Let a(u) be the second derivative of x(u). What is z(a(f))?\nAnswer: -800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or 119.6?\nAnswer: 119.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 390242 to the power of 1\/2, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2080 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*r - 994*r + 491*r + 5*r**3.\nAnswer: 5*r**3 - 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**6\/120 + t**5\/60 + 11*t**3\/3 - t**2. Suppose 11*i = 7*i. What is the units digit of y(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, z: 2, o: 7, h: 1, c: 1}. What is prob of picking 1 h, 1 o, and 1 c?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 65*h**2 + 20*h + 22. Does 14 divide q(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + (sqrt(500) + -2 - sqrt(20)))*-2)**2.\nAnswer: -192*sqrt(5) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -11. Let z be 4\/i - (-55)\/(-60). Let s = 3.7 + -4. What is the third biggest value in z, s, 3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 812?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 274 or 6?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2 (b) -4 (c) 10\/19 (d) 42\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-2)\/50)\/(64\/(-1440)*36).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*g + 2*g**4 + 3 - g**3 - 52*g + 2*g**3 to t*g + o*g**4 + z + w*g**3 + a*g**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 366262289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*t**2 + t**2 + 20*t**5 + 10*t**2 + 8*t**5 wrt t.\nAnswer: 1680*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1233 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6168 - -6168. Let s = 11 - 8. Let w = 16 - 15.9. Which is the nearest to y? (a) s (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 40) + 1 + -4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 198\/25 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 9:24 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -32834.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486117 is divided by 162023.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7131*q + 7211*q - 13907*q.\nAnswer: 435*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-6))\/(66\/6)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -222 + 221. Let y be (-6 + 7)*(-4 - -3)*r. Solve -y = 2*t + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449997117?\nAnswer: 3, 101, 1485139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 28 + 17 = 0. Suppose p = 4*m + m. Suppose -4*j + 64 = -0*b + 2*b, 4*j - 68 = -m*b. What is the greatest common divisor of j and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 401 and 11?\nAnswer: 4411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 253*r**3 + 123*r**3 + 115*r**3)*(-r + r - r**2).\nAnswer: 15*r**5 - r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.17985 + 0.18135. Let j = u - -10. Round j to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110365308 divided by 431.\nAnswer: 256068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 9:51 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -584.4 - -581.4. Let a be -2*1 - 16\/(-7). Sort 3\/5, t, a, 2\/11 in ascending order.\nAnswer: t, 2\/11, a, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18205038 to the power of 1\/2, to the nearest integer?\nAnswer: 4267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*-1)\/(7242\/(-680) + 10 - (-8)\/32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62941 and 20679?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20003 + -32202122?\nAnswer: -32222131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27008)\/15192 + (-142)\/(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a + -bc?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**3\/2 + j**2 - 8*j + 5. Let t(p) be the first derivative of q(p). Give t(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-15) + (-2)\/(10\/(-31171)). Suppose -5*u + 1491 = -x. Let l = 2902 - u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2987 a factor of 281975787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 s when three letters picked without replacement from {w: 2, s: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11975 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*n - 4908 = 938. Calculate the remainder when 549 is divided by n.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 - s. Let v be n(1). Suppose 4*z = 5*l - 23, -2*l + 3*z = -4 - 1. Suppose 5*a + 2 = l*a. Solve 3*w = 2*d - 22, 0 = -3*w - w - v*d - a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*b - 3*t - 2, -t + 1 = b. Suppose f - 5*a = 2*f - 18, 5*f + 2*a - 44 = 0. Let p = f + b. Solve 8*g - p*g + 6 = j, -2*g - 6 = j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1337*n**4 - 3007*n**2 + 500731*n - 1 wrt n?\nAnswer: -16044*n**2 - 6014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17865?\nAnswer: 3, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -50?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06666 times -16626?\nAnswer: -1108.28916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 327991627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 - 2*y**2 + 3*y**2 + (2 + 1 - 5)*(4*y - 4*y + y**2) - y**2 + 2*y**2 + y**2 + y**2 + 0*y**2 + y**2 + (1 - 2*y - 5*y + 5*y)*(2 - 2 - 2*y).\nAnswer: 5*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 161406, 161408, 161410, 161412, 161414?\n\"Answer: 2*y + 161404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3843, 2736, 1639, 558, -501, -1532, -2529?\nAnswer: -3486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + 15 + -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 1\/4*o**3 - 21\/8*o**2 - 6 + 21\/16*o**4 + 0*o - 3\/20*o**5. Solve k(l) = 0 for l.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.5833331 hours to days.\nAnswer: 0.0659722125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3289464703.\nAnswer: 7, 2087, 225167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 6756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100242 (base 5) to base 13\nAnswer: 15bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 0*w + 5*w + 0*w - 9 - w - 2. Let n(m) = m. What is x(n(a))?\nAnswer: 4*a - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 - 130672*r + 1960305 = 0. What is r?\nAnswer: -130687, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-4)*j\/(j**3*j))\/((j*j*j**(1\/3))\/j*j**(-6)) assuming j is positive.\nAnswer: j**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 2. Let f be w(-6). Suppose -4*y + f = -3*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1334*u**2 + 28*u + 317. Is i(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/(-15))\/25*23?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(84) + sqrt(84) + (-1*sqrt(84) - sqrt(84)) + sqrt(84) + sqrt(84))\/sqrt(12) - (-3 + sqrt(7)*1)) + sqrt(28)\/(sqrt(100) - sqrt(100)*2))**2.\nAnswer: 56*sqrt(7)\/5 + 1337\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15106 and 8798.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -660569*x**3 - x**2 + 3270*x - 1025.\nAnswer: -3963414*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1630278.\nAnswer: 2, 3, 13, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106063*o + 7*o**3 + 106090*o - 318263*o + 106110*o.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + 2 + sqrt(800) + -1).\nAnswer: -80*sqrt(2) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 2177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438*g = 226*g + 158*g - 4932. Solve 17*l = -g*l + 69 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 10*l + 29\/2*l**2 + 0 + 2\/3*l**3. Let j be r(-10). Which is bigger: -0.4 or j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 231*r = -226*r, 0 = 5*p - 5*r - 45. What is the remainder when 21 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/5, -12, -0.5, -6\/7, 0.2, -1\/43?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 3. Let y = -1 - -5. Suppose -4*u + 2*u - 5 = -3*t, y*t - 2*u - 8 = 0. What is s(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 3*s + 2. Let x be l(3). Suppose 0 = x*d + d - 72. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-2)\/1)\/(1\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3814.\nAnswer: 2, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 44150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 12:25 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 22*c + 121. Calculate j(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 118887 (base 10) to base 4\nAnswer: 131001213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/2)\/i)**11)**(1\/11) assuming i is positive.\nAnswer: sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 2*q - 56 = 10*j, -5*q = 3*j - 59. Let f(d) = -d**3 + 20*d**2 - 39*d + 56. Let w be f(j). Factor 2\/3*p**w + 8\/3*p + 2.\nAnswer: 2*(p + 1)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 263*c - 267*c - 28 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = -2*a + 9, 4*c = -4*a + 12. Let n be (7 - a - -1)*5. Suppose n = 3*q + 2*d, -2*q = -d - 5 - 7. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4070269 is divided by 10572.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 52*v**2 + 523*v - 1325. Calculate b(-61).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5 = 20. Let q(t) = -2*t - 3. Let k be q(w). Let g = 11 + -9. Which is smaller: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8862 + 632218922.\nAnswer: 632210060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63155*b**3*s**2 - 3*b**2*s**3 - 21*s**3 - 15*s**2 + 252*s wrt b.\nAnswer: -189465*b**2*s**2 - 6*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*v + 5. What is the tens digit of 2*v*(-123)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 2*h - 2. Suppose 4*u - 5 = -3*v, 0 = -2*v + 3*v - 3*u - 6. Let t be f(v). Which is greater: 2\/77 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o - 96 = -148 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 361\/12 + -563\/24. What is the common denominator of 61\/32 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -132 + -93?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 43300126.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 844\/6255 - 2\/1251. Let s = -0.37 - -3.37. Let n = 11 + s. Which is the closest to n? (a) -0.1 (b) h (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11314 + 34324131?\nAnswer: 34341000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94458268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (4 - -4 - 5)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 + 0*q**4 - 2*q**4)*(-6*q + q + 4*q) + 13*q - 13*q + 6*q**5.\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 + 52 - 97 - 29*r to o + x*r and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2683921, -2683920, -2683921, -2683924, -2683929, -2683936, -2683945?\n\"Answer: -o**2 + 4*o - 2683924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -38160, -76304, -114448, -152592?\n\"Answer: -38144*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 8*v = 4. Sort -4, v, -3 in descending order.\nAnswer: v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + -6. Let i(g) = g**2 - 10*g + 18. Let a be i(h). Suppose 2*l = a + 20. Calculate the greatest common factor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3204*w - 348*w + 37453 - 86649 = 105028 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.045 and 5?\nAnswer: 4.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/27 + (-56)\/(-48). Determine p so that p**3 + 3\/2*p**2 - 4*p - g*p**4 + 2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -42. Let y be (8\/10)\/(3\/z). Let d be (-2)\/(-2)*2 + 2. Put y, d, -2 in increasing order.\nAnswer: y, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5 + 63\/(-165). Let r = 51 + -41. Let s = r - 11. Which is the biggest value? (a) t (b) s (c) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 5 (b) -4\/7 (c) 3 (d) -944.5 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z\/((z*z**(-1)\/z)\/z)))**(2\/41)*(z\/(z**5\/z*z*z*z))\/z**3)\/((z**(3\/4)*z*z**(-1\/7)*z*z)\/((z**4*z*z)\/z**(4\/5))) assuming z is positive.\nAnswer: z**(-43637\/5740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 522767 and 322?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121 + -20 + (-2 + 13 - 3) + 1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1613*b - 1645*b = -20736. Calculate the highest common factor of b and 1656.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1144 = 97*b - 9*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (sqrt(637) + sqrt(637) + -2*sqrt(637) + -3 - sqrt(637)).\nAnswer: -7*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371599237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*40\/(-30)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*g + 4. Suppose -5*o = -3*k - 2*o, -k - 8 = 3*o. Let r be 4 + k - (-6)\/(-4). Is r >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4429 + -4289. Are i and 135 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/8 (b) -1\/756 (c) 0.0179 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-5) - 30\/50. Let t be z - 0*(-1)\/(-2). Suppose -2*s + t = -9. Calculate the greatest common divisor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8*w + 182. Calculate c(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, u: 1, f: 1, x: 1, n: 3, k: 2}. Give prob of picking 2 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 a factor of 9731793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68053*y + 67984 wrt y?\nAnswer: 68053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3 - c**2 + 4*c - 16*c + 1 - c**2 - c**3 wrt c?\nAnswer: 6*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 6*m - 2. Let s be f(-7). Suppose 0 = 3*z - 4*d - 125, 0*z + 2*z = -3*d + 89. Suppose -s*u + z = -12. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14384 and 271933?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11416517, -22833025, -34249529, -45666029?\n\"Answer: 2*z**2 - 11416514*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3034233 - 3?\nAnswer: 3034230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2310, -18720, -63328, -150234, -293538?\nAnswer: -507340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.5 at least as big as -659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*h**3 - 5*h + 2*h - 102*h**3 + 3*h.\nAnswer: -147*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6740 - 26955\/4. Sort 4, 6, a, 1 in increasing order.\nAnswer: 1, a, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 37c7?\nAnswer: 37c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) -6 (d) -1\/4 (e) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w**3 - 18175 + 18781 + 20*w**3 - w**2.\nAnswer: -2*w**3 - w**2 + 606","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**10)\/a)**(-4\/5)\/((a*(a*a**(3\/23))\/a*a)\/(a**(-2\/19)\/a*a)))**(-31) assuming a is positive.\nAnswer: a**(138663\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2516)\/(-6) - (-3)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 17 + -6 + 9 + -15 - -11 - -85?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.117489 and 1634.\nAnswer: 1633.882511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119106238 - 0.197.\nAnswer: -119106238.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 503 - -5?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 9*p**2 + 5. Let n(j) = 7*j**2 + j**2 + 33996 - 33992. What is -4*g(o) + 5*n(o)?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t**2 + 20*t**2 - 45*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 - (-42 + 29 + 14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from {s: 8, i: 2, h: 9}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44484172 is divided by 2028?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*u - 2*u + 2*u - 2*u**2 + 0 as v*u**2 + p*u + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.700767 * 0.1.\nAnswer: -0.3700767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 1 + -4)*3.\nAnswer: -9 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3239.52909*-0.2\nAnswer: -647.905818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4396.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 7*f**2 - 6*f + 10. Let a be b(7). Let o = a - -18. Is o bigger than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678888205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (29 - 30)\/(2 - 10\/4). Let s = -4 + 1. What is the nearest to h in -6, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**6\/60 - t**5\/12 + t**4\/12 + t**3\/2 + 10*t**2 - 15. Suppose 4 = -2*b - 4. List the prime factors of h(b).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1. Let f = 7405\/4 - 1869. Let u = f - -18. Is b <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 188*w - 14 - w**3 - 181*w + 9 + w**2. Let p be u(2). Let v(o) = o + 1. Determine v(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082406308 rounded to the nearest one hundred thousand?\nAnswer: -1082400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*c - 4. Let w = c - 6. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -30022230?\nAnswer: 30022301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.2. Let w = -551\/4 + 137. Is r at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 3*u + 339. Does 14 divide 2*(-4)\/(8\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18252 and 432.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 114.64 times -118\nAnswer: -13527.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**2 - 152*f - 419. Calculate d(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -6\/91 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 9:41 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 15*v**2 + 7*v - 22. Let u be k(3). What is the highest common divisor of u and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 897.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2612 (base 8) to base 5.\nAnswer: -21133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 6. Suppose 5*z + 3*i = -30500006, -2*z - m*i + 1117882 - 13317890 = 0. Round z to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rdrrrirddrri?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -92*b + 48. What is the tens digit of s(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8764217*g**3 + 6622*g**2 - 6622*g + 19866. Let o(m) = 6617*m**3 + 5*m**2 - 5*m + 15. What is 6622*o(l) - 5*p(l)?\nAnswer: -3311*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.92406 to 1 decimal place.\nAnswer: 50.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s - 41*s + 28*s + 3*s**3 - 68 in the form a*s**2 + p*s + k + o*s**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59522 - -1179109\/20. Let p = 564 + v. What is the common denominator of 85\/16 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 10*r**2 + 10*r - 4. Suppose 19 = -2*k + 37. What is y(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*v**5 + 40*v**4 - 20*v**3.\nAnswer: -5*v**3*(v - 2)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 22*b**2 - b - 1. Let y be v(-1). Find the common denominator of (-111 - (3 - 0))\/(-10) and (y\/(-15))\/(7\/(-35)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 100 = 4*n. Suppose 4*l + n = -l. List the prime factors of 7 - (-2 - (l + 6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 6*i - 8. Suppose 27 + 9 = 9*t. Determine q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 85791348 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35 - 348 + 75*k**3 - 5*k**4 - 187 - 395*k**2 + 825*k.\nAnswer: -5*(k - 5)**2*(k - 4)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**10\/b**5)\/(b\/b**(-17))**(-24\/5) assuming b is positive.\nAnswer: b**(457\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 40435, 80824, 121121, 161284, 201271, 241040?\n\"Answer: -7*a**3 - 4*a**2 + 40450*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*v = -199*v + 1096*v + 5814 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2035.\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038903822 rounded to four dps?\nAnswer: 0.0389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -506\/2077 - -12\/67. Let p = 44\/279 - g. Which is the closest to -5? (a) 0.2 (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 474\/(-9) - (-1)\/(-3). Let i be ((-4)\/(-1))\/(1\/(-4)). Let b = i - x. What is the remainder when b is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 32 - (-286 - -273)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*m - 15, 40 - 35 = m - 5*s. Let i = 2 + 1. Suppose -m*d + 79 = i*p - 10*d, 0 = 3*p + d - 49. What is the greatest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 42. Let u = 11.9 - 1.9. Put -2, u, x in decreasing order.\nAnswer: u, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302832.\nAnswer: 2, 107, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 9*r = 2*r + 63 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16088685017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 6:53 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - (306 + -276 - (6 - -2)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2264, -2261, -2258?\nAnswer: -2255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -359\/38 + 208\/19. Put -2\/27, k, 1, 3, 11 in descending order.\nAnswer: 11, 3, k, 1, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/6*(-54)\/4. Let m = -19 + c. What is the tens digit of 2\/m + (-51)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77965300 divided by 3898265.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (12 + (-13 - 1))) + 41 - (9 - 0).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8296 divided by 3?\nAnswer: 8296\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3827401014 to the nearest integer?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184250257, 184250253, 184250247, 184250239, 184250229?\nAnswer: 184250217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c - 4. Let t = 111 - 106. Let x be b(t). Calculate the greatest common divisor of 252 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44745 by 5.\nAnswer: -8949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 10*v - 5. Suppose 6 = -44*m + 45*m. Calculate the remainder when 34 is divided by h(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 22122*f - 22126*f - 23, -12 = -3*f - 6*c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 15*k - 45 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.1031108m?\nAnswer: 103110800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7728 and 1025248.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -39a11 (base 11) to base 4\nAnswer: -31330210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1231 + 1258. Let p = -12 - -21. What is the greatest common factor of p and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 129 = -6*c + 1, 3*j + 74 = -4*c. Let z be 0 - -5*5*(-4)\/c. Solve -5*x = -z*o + 30, o + 0*x - 2*x = 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/(-40))\/(1\/(-3260)). Suppose 0 = -5*x + 8649 - o. Let y = 2089 - x. What is y rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*u - 7 + 4, 5*q = -5*u + 5. Which is the second smallest value? (a) 0.02 (b) u (c) 5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 7*a**2 + 9*a. Determine x(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 81, 0, 6543, 5 in descending order.\nAnswer: 6543, 81, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:00 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from niinnnnn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 44628542 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 {f: 4, o: 2, d: 2, h: 3}. Give prob of sequence dhdf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284990 is divided by 527?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(4 + -10) - -1. Let h(p) be the first derivative of -13\/3*p**3 + 0*p**z + 0*p - 10. Let q(j) = 2*j**2. Calculate h(q(s)).\nAnswer: -52*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6.46?\nAnswer: -6.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 10619?\nAnswer: 53095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (0 - 0) - (-8 - 5). Suppose -t - o*t = -8*t. Factor -12*c**2 + t - 8\/5*c - 30*c**3 - 25*c**4.\nAnswer: -c*(5*c + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 6*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 4*r + 2. Let l be c(-4). Let p = -47 - -49. Suppose -p*i = -3*i + 3. Solve 2 = -l*n - i*g - 2, -g = n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 - 39*n + 29. Determine k(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -14*l - 132. What is the remainder when 785 is divided by v(-14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 36*l**2 + l + 37. What is i(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 450549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d - 4*f - 66, -3*f - 66 = -3*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 + 13*t**2 + 10*t**2 + 17*t**2 - 2*t**3 - 50*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 32, 51, 78, 113, 156?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -784981 divided by 784981\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-399)\/38 + 8)\/(2\/12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 415*t + 2323. Let c be b(-6). Are -669\/4 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*n - 5. Let i(f) = -f - 1. Let l be i(n). Which is the third smallest value? (a) l (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -587*l - 10. Let i(s) = -25*s**2 - 19*s. Calculate k(i(g)).\nAnswer: 14675*g**2 + 11153*g - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 44*j**2 - 4*j. Calculate x(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 86*y**2 + 69*y + 75. Differentiate n(w) wrt w.\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 142 = 9*a + 2*l, 5*a - 6*l - 36 = 0 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20102308 is divided by 2921?\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010010 + -1?\nAnswer: -11010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 36745*o**2 - 3*o - 11 - o**3 + 36680*o**2 in the form w*o**3 + a*o + i + g*o**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3203000 rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 5*h - 3*h)*((-h - 2*h + 5*h)*(-1 - 3 + 2) + 227*h - 114*h - 50*h + 0*h + 0*h + h + (-1 + 5 - 2)*(h - 6*h + 3*h) + 2 + 5 - 41 - 2*h).\nAnswer: -54*h**2 + 34*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1132643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-276)\/(-260))*(-9)\/(-6). Which is the second smallest value? (a) -1 (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -18*d - 70. Determine o(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of -21*4\/10*(9 + -3484)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -2. Let s = v - -10. Let r = -4 + s. What is the second smallest value in r, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 57?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10268596313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*12\/64\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1412 + 2*j**4 + j**3 - 1379 + 4*j**4 + (-2*j**4 + 2*j**4 + j**4)*(5 + 5 - 1) in the form a*j**2 + m*j**3 + z*j**4 + s*j + h and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -52, -5\/7, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2 - 4*t - 3. Determine f(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*l**2 + 7*l**3 - 16*l**2)*(-l - l - 4*l - 1).\nAnswer: -42*l**4 - 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.501 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(56\/((-43008)\/816))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 + -155 + 79 - (-2 - -29)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {j: 3, s: 7, r: 4}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17ba352 - 2a?\nAnswer: -17ba380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 63, 78, 103, 138, 183, 238?\n\"Answer: 5*k**2 + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*l - 4*a, -a = 3*a - 12. Let m(x) be the first derivative of 0*x**2 - 2\/7*x**5 + 1 + 0*x + 2\/21*x**3 - 1\/14*x**l - 1\/7*x**6. Factor m(q).\nAnswer: -2*q**2*(q + 1)**2*(3*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.201 + -0.26. Let d = m - -5.459. Let i = 0.4 - d. What is the second biggest value in i, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-1)\/(-8710)*-2. Let c = -142453852 - -620386500199\/4355. Let g = c - q. Find the common denominator of g and 15\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {g: 3, h: 1, e: 1, n: 1, m: 3, f: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.850926 kilometers to meters.\nAnswer: 1850.926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 28 = 4*y, 3*l - 5 = 4*y + 2. Let w be (4 - 3)\/((-2)\/98). What is the units digit of 1\/1 - (w - l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 565558 and 12789?\nAnswer: 5090022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 3*w. Let b be (189\/(-6))\/3*-4. Let d be (-4)\/12 - b\/9. What are the prime factors of j(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2976.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26627922?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7124\/23 - 649503\/2093. What is the common denominator of n and (-1 - -2)\/((-36)\/(-284))?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-3\/10)*h))\/h**(-1\/2)*(h*h**(-2)*h*h*h*h)\/(h\/(h**(2\/3)*h)))**(-2\/129) assuming h is positive.\nAnswer: h**(-134\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*o**2 - 2 + 15 - 9 - 1 in the form g + y*o + n*o**2 and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*c**2 + 21634*c + 4676721.\nAnswer: -68*c + 21634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xxxxxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 21253*f + 21258*f - 80 = 0, -b - 20 = -3*f for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -12*m**2 + 4\/525*m**7 - 2\/75*m**5 + 0*m**4 - 1\/50*m**6 + 0*m**3 + 0 + 0*m + 1\/140*m**8. What is k in z(k) = 0?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2499)*-6)\/((sqrt(15)*-1*-2)\/sqrt(5))*2.\nAnswer: -42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -287.529 - -287. Let i = r + 0.829. Which is the third biggest value? (a) 1 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.963 times 0.5?\nAnswer: 1.4815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1387 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/6*8\/10. Let h = -5.2 - -5. Let x = -1823\/7 + 260. Which is the third biggest value? (a) x (b) y (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/4, 3944, 48, 5, -0.1 in descending order.\nAnswer: 3944, 48, 5, 4, 1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-8\/3)\/((h\/(h*h*h**(-18)))\/h) assuming h is positive.\nAnswer: h**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 377728.53 rounded to the nearest one thousand?\nAnswer: 378000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (228*d**4 - 101*d**2 + 101*d**2)*(3*d - 2*d + d) - 3 + 3*d**5 + 3.\nAnswer: 459*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1471998219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/12 + i**2. Let s(d) = 65*d + 65*d - 130*d + 3*d**2. Determine s(h(m)).\nAnswer: 75*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 1ab2?\nAnswer: 1ab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -3\/2, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1393, 2787, 4181, 5575, 6969, 8363?\n\"Answer: 1394*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (738\/(-204) + (-4)\/(-34))*-2. Solve -5*f - 40 = 5*r, s*f - 2*f = r - 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 93 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4432362 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*d + 4*w, 15*w + 50 = -2*d - 17 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192209\/20 - 9606. Find the common denominator of n and 23\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(1\/14)\/d)\/d)\/d**(-2\/9) assuming d is positive.\nAnswer: d**(-89\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, u: 5, v: 1, z: 4, k: 9}. What is prob of sequence wuk?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0095 - 4.0095. Which is the closest to -0.2? (a) n (b) 7 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 847 and 429.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 20 = -2*j. Is -30 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13274357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133296813.\nAnswer: 3, 13, 17, 89, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1808877360.\nAnswer: 2, 3, 5, 41, 183829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1755*o**2 + 1757*o**2 + 1761*o**2 + 151*o**3 + 1782*o**2 - 7055*o**2.\nAnswer: 151*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*4*1*sqrt(396) + -2*-5*(sqrt(396)*-2 + sqrt(396)))*1)**2*-5.\nAnswer: -198000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289989 is divided by 349?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2. Let j(k) = -5*k**2 - 129*k + 88. Determine j(v(o)).\nAnswer: -5*o**4 + 129*o**2 + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**30*l*l**(-1\/4)*l)**(-35\/2) assuming l is positive.\nAnswer: l**(3815\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*m**3 - 3*m**2 + 6*m**2 - 228*m - 164*m**3 wrt m.\nAnswer: -36*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x - 5. Let v(w) = -w. Let a(l) = 4*l - 8*l - 2 + 2*l. Let u(n) = a(n) - 4*v(n). Calculate -5*u(i) + 2*z(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -152125605?\nAnswer: -152125601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21816105.\nAnswer: 3, 5, 439, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**4 - o**4 - 3*o**4)*(-3 - 3 + 4) - 4*o**4 - 1 + 7*o**4 + 3*o**4 + 2*o**4 + 0*o**4 + 0*o**4.\nAnswer: 6*o**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 100?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 362*p**4 - 135 wrt p?\nAnswer: 1448*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 7 - 17, 3*h = -4*s - 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*q = -204. Suppose 5*z + 3*c = q, -2*z - c = -2*c - 7. What is the units digit of -2 - (1 - (z + 94))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 2:26 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/9 - 16*h**2\/9 + 34*h\/9 - 20\/9.\nAnswer: 2*(h - 5)*(h - 2)*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2493530 + -185006\nAnswer: 2308524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*u**5 - 16*u**2 - 115*u**4 + 116*u**4 + 3*u**2 wrt u?\nAnswer: 300*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.46 and -6.\nAnswer: -6.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o**(3\/4))\/(((o**7\/o*o*o*o)\/o)\/o)**35 assuming o is positive.\nAnswer: o**(-969\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -a - q, -4*a = -q - q + 84. Let u be (-132)\/(-28) + (-6)\/a. Solve -u*h + 4 = f, -2*h + h - 4*f - 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.132 - 0.272. Let k = -1.86 + x. Is k greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.196832 millilitres?\nAnswer: 0.004196832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 17*z**2 + 1745*z - 101. Calculate m(-101).\nAnswer: -2929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 34*b**2 - 65. Determine l(34).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c - 6*c**4 + 2*c + (-3 + 1 + 0)*(-39*c**3 + 39*c**3 + 3*c**4).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -50, -123, -246, -431, -690?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 178130 (b) -13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14\/1929 - -66688\/202545. Find the common denominator of -61\/50 and c.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45600 by -456.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = -4*q - 7*l + 26, 22 = 2*q - 2*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**3\/6 - 2*t**2 + t. Let g be j(6). Suppose -g*q + 3*q - 2 = 0. Is q less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 1004*j. Let g(y) = y + 256. Give i(g(l)).\nAnswer: 2*l**2 + 20*l - 125952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*u**3 + a*u**2 - 107*a*u - 3*a + 369610*u**3 + 23*u - 3 wrt u.\nAnswer: -6*a + 2217660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8558875 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**3 - j**2 - 1. Let b be m(-1). Suppose b*k = -4*q + 32, 27 + 10 = 4*q + 5*k. Suppose 4*g = g. Put g, -4, q in descending order.\nAnswer: q, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945899013 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -135 + 139. Solve -7*f + c*f + 15 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126.9 or -955?\nAnswer: -955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3\/2. What is the third smallest value in -1\/6, -3, n?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 7:35 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 28 = h. What is the greatest common factor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -13, 12, 49?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*w - 2596 = 2934 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 2*n**2 + 4. Let c(y) = 5382*y**3 + 1180*y**2 + 41. Let v(z) = -c(z) + 10*d(z). Find the third derivative of v(l) wrt l.\nAnswer: -32352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 17*o + 39. Give d(-10).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14\/83 + -5257\/166. Let d = -39 - -34. Calculate the common denominator of (-756)\/(-12)*(-2 + d\/(-3)) and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 - (2 - (-7 + 16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4448 is divided by 261.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-455)\/(-13)*4\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/35 + (9 - 1638\/65)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -147869.2 and -72?\nAnswer: 10646582.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2223 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v + 4*v)*(-29*v**3 - 50*v**3 + 44*v**3).\nAnswer: -105*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 p when three letters picked without replacement from {c: 4, p: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -84*g + 55. Let v be 185\/(-25) - 6\/(-15). List the prime factors of i(v).\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5412 a factor of 157797684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7031 + 2*a**2 + 6*a**3 - 7031 as u*a**3 + s*a**2 + o*a + d and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*a + 58, -a = 2*b - b - 8. What is the highest common divisor of a and 340?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 448 and 2032.\nAnswer: 56896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 10510*a**3\/3 + 10600*a + 1814. What is the first derivative of q(i) wrt i?\nAnswer: 21020*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1937149 - 32549.\nAnswer: -1969698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*n, -2*n - 5 = -d. Let p be (-30)\/45 + 20\/(-6). Let r be (-1)\/(-2*p\/(-200)). Solve -r = -d*c - 0*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72a (base 15) to base 5.\nAnswer: -22430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 8 + 34 = -4*d, 2*r = d - 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6 + 0)*(-3*c**2 + c**2 + 3*c**2) + (3 + c**2 - 3)*(29 - 30 + 77).\nAnswer: 74*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 7*v**2 - 6*v + 1. Let f be w(4). Let x be (23\/(-5))\/(7 - 68\/10). Let q = x + f. Solve -a = q*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + (-99)\/12)*-4. Let g be (o\/30)\/(6\/8). Which is smaller: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3963*r**4 - 445 + 210*r + 2176*r + 445 wrt r?\nAnswer: -47556*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 623\/418 - -2\/209. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14790 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (0 + (-4 - 1) - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-35)\/10)\/7 + 1234\/4. Suppose 250 = 2*y + o - 64, k = 2*y - 2*o. Let z = 274 - y. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16091\/2770 - 5\/554. What is the common denominator of (-6)\/9 + 45\/(-6) and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 320950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + 24*z**3 - 5431520*z + 5431520*z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrs when four letters picked without replacement from {r: 4, s: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -n + 17, 11 = -s - 47*n + 50*n. Solve 2*r + 4 = u, 3*u = 2*r + s*u + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from uluuuuuluww?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*o**3*y**4 + 2*o**3*y**2 - 2*o**2*y**4 + 2*o**2 + 1380*o*y**2 - 4*y**3 wrt y?\nAnswer: 2760*o**3*y - 48*o**2*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 0.11, -4\/93, -1.8, 16?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2 + 2*f + 2\/3*f**3 - 2\/3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 17 - -2) + -108 + 95\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, u: 8, t: 4, e: 2}. Give prob of sequence utee.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24043104212 + 2?\nAnswer: 24043104214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11305110 + -116?\nAnswer: -11305226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587387735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/1155 - 76\/(-836). What is the second biggest value in 11\/8, g, 3?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 22\/(-18) + 145\/45?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 746*x**2 - x - 2. Is k(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 6:44 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -16*z + 6. Suppose l - 3 = -z. Solve -4*b + 5*x = 4, x = -3*b + l*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/(-66) + (-14 - (5 + -13)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2 - 2056*y + 20960 = 0. Calculate y.\nAnswer: -524, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -29.\nAnswer: 40\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 896*v + 24 + 880*v)*(-2*v**2 + 0*v + 0*v - v**3).\nAnswer: 16*v**4 + 3*v**3 - 58*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -3*i**5\/20 - i**4 + 2772*i - 2. Suppose k(p) = 0. What is p?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*o = -41469, 58*k - 63*k = 4*o - 69115. Suppose 0 = -11*r - 12*r + k. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 26 - 431. Let k(c) = -c**2 + 405*c - l*c. Let v(h) = 20*h. Calculate k(v(p)).\nAnswer: -400*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-4 - 1) + -2. Let p(k) = -k**2 - 5*k + 7. Determine p(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-3) - (-70)\/(-28 + 18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1) + -59 + 47?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 - 68. Let t = -210 - j. Round t to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 4*m**2 - m**2 + 7*m**2 - m**2 - 6 as g*m + l*m**2 + p and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -306435895 divided by -61287179?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxssccxxxscxsxc. Give prob of picking 1 x and 1 c.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2223040 (base 8) to base 15.\nAnswer: bc9c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*w + 119*w - 3220720 = 0. What is the thousands digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i**2 + 10*i**2 - 4*i**2.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**7)\/i*i**(-3\/4)\/i*i**(-1\/6)\/i**(-1\/3) assuming i is positive.\nAnswer: i**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (7 + 1 + 1 + (23 - 22) - 20)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -367 + 369. Solve -3*d - 3*n = 9, -d - 2*d = -i*n - 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*f + 160*f - 40*f - 44*f - 36*f - 107 - 33.\nAnswer: -f - 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1743435, -3486880, -5230325, -6973770, -8717215?\nAnswer: -10460660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*v = -9, -4*v - 11 - 1 = -3*c. Let d be -5 + (c - 4\/4). Let u = 11 + d. Solve -3*j + u*k - 3 = 2*k, 0 = -5*j + 3*k - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/8*(-20)\/(-3). Let p = -14 - y. Let l = 6 + p. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -766021303.5915?\nAnswer: 766021303.6915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4708, 9418, 14128?\nAnswer: 18838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*x + 5, 4*l - 9 = -3*x. What is the third derivative of r**6 - 4*r**6 + 2*r**2 - r**l wrt r?\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t = -5*i - 41*t + 15, -3 = -i - 3*t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 = -6*q + 430. Let b be 6 + -121 + -2 - (-3 - q). Is -117 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddd. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/162 and 151\/216?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-46 + (-46 - -80))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634*h - 2351*h = -1029*h + 1251*h - 314286 for h.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 14 = 2*x, 3*x + 2*h - 2 - 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/((-33)\/(-44)). Let h be a\/(-3) + 208\/24. Suppose 4*i - 8 = h. Solve -2*p - 2 = i*j - 8, 4*j = 3*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*u - 10. Solve 0 = u*j - 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 g, and 1 b when three letters picked without replacement from ibiogbj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 37, 47, 61?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**5\/60 + 31*m**4\/24 + 5*m**3 + 33*m**2 - 2*m. Factor w(s).\nAnswer: (s + 1)*(s + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - k)*(-11 + 4 + 4 + 5 + 1017*k) to the form w + c*k**2 + d*k and give c.\nAnswer: -1017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14688 and 128.\nAnswer: 58752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 - 21*b - 59. Let l be i(-6). What is the nearest to 0.1 in -8\/7, l, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463049953?\nAnswer: 101, 4584653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126267113?\nAnswer: 7, 18038159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4*l + 4 = 0. Let v(z) = z - 6. Let d be v(5). Let p(u) = 4*u - 3. Let i(o) = o - 1. Let r(t) = d*p(t) + 2*i(t). What is r(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2476 - 2472. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = -2*v. Let p(u) = -2*u**2 - 13*u + 4. Let i = 20 + -25. Let a(d) = 3*d**2 + 19*d - 6. Let o(f) = i*a(f) - 7*p(f). Give o(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 2:56 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -125310 less than -626553\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127 - 45. Let o = 171.8 + h. Which is the nearest to o? (a) -37 (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 5:25 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 - -9 - -79) + 2 + (2 - 6) + -7?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 27569369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 9430?\nAnswer: 9430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 2*b**2 + 6*b + 8. Let k be j(-2). Suppose -3*s + 0*s + k*o = -2605, -3*s - o + 2630 = 0. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 744, 1482, 2416, 3546, 4872?\nAnswer: 6394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 4:37 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m - 5808 = 14*m. Let k be (-6)\/(-12) + (-154)\/m. Let t = 2.8 + 0.2. What is the nearest to 2 in t, 0.3, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**5\/20 + u**4\/12 + u**3\/6 - u**2 - 20*u. Calculate s(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrrrbrrrrrrrrbrrrr.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2. Let z(u) = -13*u**2 - 12351*u + 35. Determine z(g(v)).\nAnswer: -52*v**4 + 24702*v**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) - 1\/(-3). Let j = -7.7 + 8. Let p = 3.9 - 4. Which is the closest to z? (a) j (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14819\/849 - -60\/283. Which is the third smallest value? (a) -3 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 6*f**2 + 4*f - 6. Let a(d) = -5*d**2 - 3*d + 5. Let g = 56 - 50. What is g*a(y) + 5*z(y)?\nAnswer: 5*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3444562, 6889130, 10333702, 13778278, 17222858, 20667442?\nAnswer: 24112030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**5\/30 - l**4\/4 + 3*l**2. Let i be (12\/10)\/((-21)\/(-70)). Give m(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 401, 2841, 9187, 21305, 41061, 70321, 110951?\nAnswer: 164817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -9*p - 9. Let v(f) = -f. Let l(i) = 5*i + 1. What is p*v(b) + l(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.373 + 170.627. Which is the closest to 1? (a) -2 (b) -0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s - 200 = -305 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1185 and 74013915?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -69. What is the highest common divisor of 30 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 973*x + 18467. Calculate g(-19).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 141? (a) -4 (b) -5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**3\/3 - 6*l. Let b(s) be the second derivative of -s**3\/3 + 5*s. Give w(b(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*n**3*r**2 - 11*n**3*r - 82*n**3 + n wrt r?\nAnswer: -16*n**3*r - 11*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*p - 74, -4*p - 5*o + o + 76 = 0. Let k = p + -16. Suppose -k*i - 60 = -7*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**3 + 24790*g**2 - 24790*g**2.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 378\/36*(-2)\/(-3). Suppose 0 = -33*s + m*s + 15470. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64884*g*w - w - 862 wrt g.\nAnswer: -64884*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**3\/3 - 1. Let d(m) = m - 4. Let a be d(4). Let c(z) = 0*z + a*z + z. Determine i(c(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164 - -160. What is the hundreds digit of (w*(-1 + 2)*307)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20805 is divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -17, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -140 and -156 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3895 and 164165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(99)*1)\/sqrt(9) + (3 + 1*sqrt(11))*-2 + 0.\nAnswer: -sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/36)\/((-2)\/(-148)). Which is greater: l or -19?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*(sqrt(275) + sqrt(275)*-5 + 1)*5)**2.\nAnswer: -15200*sqrt(11) + 1760361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**4\/12 - b**3\/3 - 5*b**2 - b. Let u = 0 - -14. Calculate the remainder when z(-7) is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9050701*w**4 + 203025266.\nAnswer: 36202804*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(864) - -3*sqrt(864)*2))\/((sqrt(588) - (sqrt(588) - -1*sqrt(588) - sqrt(588))) + 1*sqrt(1452) + sqrt(1452)).\nAnswer: 84*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (7 + -9)) + 27 + 49\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187472 is divided by 372.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 111599713091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 5*o - 2. Let s be m(-2). Suppose -l - f = -31, -s*l + f + 0*f + 134 = 0. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000054637 rounded to six dps?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 10:49 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3dd2e (base 15) to base 11.\nAnswer: 126334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78.9 * 0.04.\nAnswer: -3.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*z + 3*y - 13, y - 7 = -4*z. Solve 0 = m + h, -z*h - 1 = -2*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -600 - -600. Let l(m) be the second derivative of 1\/42*m**4 - 8*m + v + 0*m**2 + 2\/21*m**3. Factor l(d).\nAnswer: 2*d*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3745*m - 430 = 3746*m, -4 = -m. What is the greatest common divisor of 5425 and x?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**5 + 142814*m**4 - 285624*m**3 - 2*m**2 + 285625*m - 142812 = 0.\nAnswer: -1, 1, 142812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + t = -106750, -t + 35578 = 42*f - 41*f. List the prime factors of f.\nAnswer: 2, 17791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-395)\/711 + -61*(-65)\/6975.\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 12. Let m(v) = -v**3 + 4*v**2 - 4*v + 1. Let c be m(q). Sort 1, c, 0.\nAnswer: c, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 1043*p - 8 - 2 + 1752*p.\nAnswer: 2795*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 135762173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2, 5, -5 in descending order.\nAnswer: 5, 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11666 divided by -2.\nAnswer: -5833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 185*a - 183*a - 34. Suppose a*o - 5921 - 3514 = 0. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -4, -321, 5\/3, -0.3, -0.6, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - 12\/(-4))*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - 2 + 2)*(421*a - 627 + 621 - 360*a).\nAnswer: -61*a**4 + 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:06 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 17730801*u**2. Let q(n) = 3*n. Give k(q(x)).\nAnswer: 159577209*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2048703 and -0.4.\nAnswer: 2048702.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + sqrt(7))*-3 + sqrt(49)\/(2*sqrt(7) - sqrt(7)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**8\/840 - f**5\/60 + f**3\/6 + 3*f. Let n(v) be the second derivative of o(v). What is the second derivative of n(u) wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17111 + -0.3902.\nAnswer: 17110.6098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7702699 millennia to years.\nAnswer: 770.2699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66680 or -66675?\nAnswer: -66680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (10 + 0 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 144*g**2 + 326*g - 2. Let n(v) = -44*v - 1. Determine n(w(s)).\nAnswer: -6336*s**2 - 14344*s + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 894*u + 13. Let b(d) = 300*d + 4. Determine -7*b(w) + 2*t(w).\nAnswer: -312*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113279958.\nAnswer: 2, 3, 11, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*d**2 - 7*d**2 - 1 - 14*d**2 to y + o*d + u*d**2 and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 2*g**2 + g + 3. Let p be f(0). Suppose 3*q = 3*r - 2*r - p, -4*r - 5*q = -63. Put r, 3, -3 in decreasing order.\nAnswer: r, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 4*s - 2. Let a be c(-4). Let h = a - -3. Let b = -25 + 39. Solve h + 10 = 3*k - 2*x, b = 2*k - 3*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*((-4)\/(-18))\/(15\/27). Calculate the remainder when 122 is divided by -730*d\/70 - (-2)\/7.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 64*p**3\/3 + 104*p**2\/3 - 526*p\/3 + 124\/3 = 0.\nAnswer: -31\/8, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -61 divided by 26\nAnswer: -61\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -85.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 1588.42536\nAnswer: -1588.02536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1118468402 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 4*g**2 + 7*g + 0*g**2 + 17*g as l*g**2 + c + n*g and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47.984 + -48. Let l = o + 0.0603. Let a = 0.04 - l. What is a rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -10 - -2)\/(-2). Let m(d) be the third derivative of -1\/3*d**3 + 0 + 1\/12*d**4 - d**2 + 0*d. Calculate m(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {a: 2, s: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 518 and -3.\nAnswer: -1554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**4)**(-2\/127)\/((l\/(l\/((l\/((l\/(l\/(l**(-2\/3)*l)))\/l*l))\/l))*l)\/(l*l\/(l\/(l\/l**(-1\/5)))))**(-20) assuming l is positive.\nAnswer: l**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -43, -83, 1.\nAnswer: -83, -43, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 - 957*s\/5 + 30628\/5.\nAnswer: -(s - 31)*(s + 988)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 + -58. Suppose -3*f + 1981 = -g + 3*g, 0 = -3*f + a*g + 1967. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/1083 + -112\/1083. Let m = 23\/38 + t. Let w = -1318\/11 + 120. Put m, -1, w in increasing order.\nAnswer: -1, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.514 + -0.114. Let a = 18.3 - j. Let h = 4 - a. What is h rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.75 or 1.063?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 17. Let f = g - -9. Find the first derivative of -5*p**4 + f - 5*p**4 + 5*p**4 - 9*p**4 wrt p.\nAnswer: -56*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-12*z - 4 + 2 + 3).\nAnswer: -12*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773429 != 2773431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from mccppmpmfczmdzzcc.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -9*d**3 + 12*d**2 - 12. Let i(a) = 1607*a - 1607*a + a**2 - 1. Give -h(g) + 12*i(g).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -726, -1579, -2550, -3633, -4822, -6111?\n\"Answer: n**3 - 65*n**2 - 665*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 3 = -r + h, h = -2*r - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - 1 + 1)*(-1 - n**2 + 1) + 3*n**3 - 5*n**3 + n**3 to c*n + o*n**3 + w + a*n**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116480448 and 409248.\nAnswer: 14112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1360040790.942732 + 0.2.\nAnswer: -1360040790.742732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50602469*k**4 + 63910*k + 67 wrt k.\nAnswer: 607229628*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 824 + -507. What is the units digit of z\/5 - (-12)\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -385, -416, -447, -478?\n\"Answer: -31*u - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1 = 13, -4*x + 5*t = -40. What is the remainder when ((-6)\/(-9))\/(2\/33) is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3*c - 20 = 0, -4*p + 6 = -3*c + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - 6*r + 5. Let s be q(5). Suppose 0 = -6*k + 4*k + 5*l + 20, -5*l - 50 = -5*k. Calculate the greatest common factor of s and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 + 574 = 284*b - 2146 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 - -3. Let v = -0.2 + h. Let t = v - 0.1. Sort -1\/2, t, 0 in increasing order.\nAnswer: -1\/2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 158 + 155 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14*(-2)\/2*-1. Let n be x + 0 + (-1)\/1. Let r be (-162)\/(-4) - ((-243)\/18)\/(-9). What is the greatest common factor of n and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 867043 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/6 and ((-1)\/(-4))\/((-36)\/(-104)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2805 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 23, -680, -1.\nAnswer: -680, -1, 2, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2 + 4263*f + 329394 = 0. Calculate f.\nAnswer: -1339, -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38320039 by -7.\nAnswer: 38320039\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 7:56 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 27238000 to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (869*o + 157*o**3 - 343*o**3 + 183*o**3)*(5*o - 5*o - 4*o) as k*o + f*o**4 + m*o**2 + g + q*o**3 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + -4.02. What is the closest to -3 in -2\/5, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-182)\/(-5915)*13 - (-1 - 266\/10).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3452*y**2 + 8345*y**2 + 5288*y**2.\nAnswer: 17085*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1207310472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 40*j**3 - 15*j + 33. What is f(3)?\nAnswer: 1068","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 189\/5. Let l(f) = -13*f - 116. Let j be l(-23). Let m = j - 551\/3. Put 4, m, w in descending order.\nAnswer: 4, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqeyyyynyeqnqynyny. Give prob of sequence yqy.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 7*f - 6. Let p be v(5). Let t be 16\/1*p\/(-2). Suppose -148*l + 143*l + 80 = 0. Calculate the greatest common divisor of t and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f + 14. Let m(l) = 1 - 29*l + 16*l - 4 - 9417*l**3 + 17*l. Let t be m(f). Round t to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - r + 2 = -2*r, -2*o + 2*r = 12. Let g(w) = 10*w + 61. Calculate the remainder when (3\/2)\/(o\/(-28)) is divided by g(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -501118, -1002238, -1503358, -2004478?\n\"Answer: -501120*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r + 392 - 44 = 75*r. Let z(q) be the second derivative of 0 - 1\/3*q**2 - 23*q + 1\/72*q**4 + 1\/120*q**5 - 1\/9*q**r. What is d in z(d) = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3602056985?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*b**2 - 1827 + 1827 + 2417*b**3 + 50*b**2 + (1 - 1 + b)*(b**2 + 2 - 2) in the form m*b**3 + k*b + u*b**2 + g and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in -8, 3, -0.5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*z = 7*i + 33, 27 = -3*i - 3*z. Let u be 1\/((-4)\/i + -1). What is the units digit of 1 + u + 5 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18, -74, -166, -294, -458, -658?\n\"Answer: -18*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 2, -4, -5.\nAnswer: -5, -4, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.81 - 0.19. What is the third biggest value in 0.06, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q - 2*q + 4*q**2 + 19*q**3 - 9*q**3 - 66 - 11*q**3 + 4*q to h + p*q + f*q**2 + t*q**3 and give h.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8043.\nAnswer: 3, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**6\/30 + 7*u**4\/6 - 7*u. What is the third derivative of z(f) wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*f = 137438 + 402142 - 121905. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -242 + 233. Find the common denominator of -2 + 183\/(-6) + -2 and (j\/(-84))\/(3\/(-34)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a = -6, -2*y + 8 = a. Suppose y*w - 2*w = 5*c - 4, 0 = -2*w + c + 2. What is the least common multiple of w and 13\/2 + (-1)\/(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176710, 176717, 176724, 176731?\nAnswer: 176738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c89b2 (base 13) in base 2?\nAnswer: 1011000010111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4468.61206 times 0.1\nAnswer: -446.861206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1330293903?\nAnswer: 3, 149, 421, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446444 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**3 - 3*y**2 - 5*y. Let t be (90\/(-24))\/(2\/(-8)). Let u be (t\/6 + -2)*-2. Let v(a) = -a**3 + a**2 + a. Determine u*h(p) - 3*v(p).\nAnswer: -p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11596 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466458462?\nAnswer: 2, 3, 2999, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 410*g*i**3 + 3*g*i**2 + 5*g + 4*i**2 wrt i?\nAnswer: 2460*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -1\/17 (c) 1 (d) -1\/5 (e) 2\/627\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -6*q + 3*q + 6, 0 = 4*y + q + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -112652959606948 and 0.5.\nAnswer: -112652959606947.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 - 17 = -3*x + 7*x + 2*t + 35, -2*t = 2*x - 14 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -219, -221?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*c*k**3 - 5*c*k**2*q**2 + 3*c*k*q**2 + c*q**2 + 6*k - 12*q wrt k.\nAnswer: 348*c*k - 10*c*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1911478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p + 89*p**3 - 3*p + 225*p**3.\nAnswer: 314*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 4*s**3 - 3*s**3 - 54452033424 + 54452033424 - 184*s**2.\nAnswer: s**3 - 186*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45270.71 millennia in decades?\nAnswer: 4527071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -18, -2, 8 in increasing order.\nAnswer: -18, -2, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -28. Suppose 352 = -0*b + 22*b. Suppose -b*h + 11*h + z = 0. What is the remainder when h is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 21. Which is the nearest to -0.2? (a) p (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11912*m - 3876*m - 1656*m + 17748*m + 2312*m to n + r*m and give r.\nAnswer: 26440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 31003 (base 4) to base 7\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1190, -3381, -5566, -7739, -9894, -12025?\nAnswer: -14126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -25*j + 2. Let g(o) = o**3 - 6*o**2 + 7*o - 5. Let z be g(5). Suppose 2*x + 3*q - 6 + 23 = 0, -5 = z*x - 5*q. Is w(x) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5753 and 4563698?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7488 and 961857.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5952 + -1.4048. Which is the fourth biggest value? (a) g (b) -3 (c) 139 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.693 (b) 0 (c) -2 (d) 11503\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -68*u**3\/3 + 8078*u. Let k(t) = 3*t + 6. What is i(k(a))?\nAnswer: -408*a - 816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - 11 - 4*n**2 + (-57 + 57 + 160*n)*(0 - 3*n + 5*n - 1)*(1 + 0 + 0).\nAnswer: 316*n**2 - 160*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2*743\nAnswer: -1486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1499999*d + 24. Let l(p) = p**2 - 10*p - 3. Let v be l(7). Let m be t(v). Round m to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a centimeter in millimeters?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26834 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 + -50. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 - 2*k - 4*k + 6*k - 8*k**2 to n + f*k**2 + m*k + h*k**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.3 and -2976.\nAnswer: -2982.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 5) in base 16?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 6*q + 4. Let n be (1\/3)\/(1\/9). Suppose 4*y - n*t = 32, 3*y + 4*t + 1 = -0. Determine o(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by (-3)\/30 + 391\/10.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**5\/60 + u**4\/4 + 7*u**3\/6 - 3*u**2. Let t be y(7). Sort t, -4, 10 in decreasing order.\nAnswer: 10, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:01 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -888435*o**3 - 119*o + 119*o.\nAnswer: -888435*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 26 = -d, 4*g - 5*d - 16793 = -16894 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*o + 5, 3*o + d = -0*d + 11. Calculate the least common multiple of 7 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 727*f - 364*f - 366*f. Let c(j) be the first derivative of j**2 + 1. Give z(c(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a0ba (base 13) in base 4?\nAnswer: 1010022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9673096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 3\/4 (c) 0.0479\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0.9. Let m = 0.4 + o. Suppose 3*u = 0, 0 = 3*v - 4*u - 0*u. Which is the closest to m? (a) -3\/7 (b) v (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 2*j + 29 = 0, 158*j = -5*u + 310*j - 154*j + 181 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a + 14. Suppose -p + a = p. Suppose -t - 1 = -2*t. What is the greatest common divisor of t and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54571*f**3 - 109179*f**3 + 54582*f**3.\nAnswer: -26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5955 + 3033. Calculate the greatest common divisor of j and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(2\/(4\/2 - 0)). Let f(s) = 4 - 7*s + 0*s**3 - h*s + 36*s - s**3 - 22*s. Suppose -3*u - 2*k = -4, 3*u + k = -2*k + 6. What is f(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 60?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303833784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from nnpmnmnpm.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3 + 19 - 23 + 1 + 245*m. Let o(w) = 6*w. Give z(o(k)).\nAnswer: 1470*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 208552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2322, 4886, 7718, 10824, 14210, 17882, 21846, 26108?\n\"Answer: u**3 + 128*u**2 + 2173*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -522705009*n**6 - 360*n**2 - 180*n - 190.\nAnswer: -62724601080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7090, -7065, -7028, -6973, -6894?\nAnswer: -6785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2856*q + 141085 + 107387 for q.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.055 in 0.3, -2.79, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 3*m**2 + m - 4. Let l be i(-4). Suppose -3*c + 125 - l = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**4 - 3*a**4 + 5*a**4)*(4 - 3 - 3)*(a + 0*a - 2*a).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 4:01 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 936.98217 + -937. Which is greater: l or -2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-19)\/(i**(-6\/23)*i))\/(i*i**(-24)*i*(i\/i**5*i*i*i)\/i) assuming i is positive.\nAnswer: i**(98\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100702 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**4\/4 - i**3\/4 + i**2\/4 + i\/4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101\/606)\/(1\/(-3)) + 190\/(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/7 + 152*w\/7 + 151\/7 = 0 for w.\nAnswer: -151, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a century in months?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 97?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -9325000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443370015?\nAnswer: 3, 5, 11, 107, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4017, -8048, -12085, -16128?\nAnswer: -20177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-9) - -4)\/((-21)\/(-315))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 1. Let v(b) = b. Let w(a) = 15*a + 8. Let u(k) = -5*v(k) + w(k). Give -8*j(g) - u(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13942912347 minus 0.31693?\nAnswer: -13942912347.31693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201.679 + 418?\nAnswer: -783.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/15)*h)\/((h\/((h*h*h\/((h*h\/(h\/(h*h\/((h*h\/(h\/h**6))\/h*h*h)))*h)\/h))\/h))\/h*h))\/((h\/h**(-7))\/h**(-2\/9)) assuming h is positive.\nAnswer: h**(-49\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(22)\/sqrt(396) + (sqrt(2)*2 - sqrt(2)) + -5)**2.\nAnswer: -35*sqrt(2)\/3 + 427\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 12. Determine b(15).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2081*k - 2076*k = -5*f - 25069975, -4*f + 5*k - 20056025 = 0. What is f rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) -0.1 (c) 2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + -4 + (sqrt(7)*-2 + sqrt(7) + -3)**2 + -3.\nAnswer: 9 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l + 12*l + 20*l - l**4 - 2*l**2 + 2*l**4 as w*l**2 + f*l**4 + j + k*l**3 + p*l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5554012 - 43?\nAnswer: -5554055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**4\/4 - 28*d. Let k(p) = 5*p**2 + 1. Suppose -10*x - 27 = -7. Let w be (0\/x - 1)*(-11 + 16). What is w*f(l) - 2*k(l)?\nAnswer: 5*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.3 + -4.7. Let z = 18 + j. What is the second smallest value in -3, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (692\/16 - ((-250)\/140)\/(110\/(-77)))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.18 + -0.38. Let r(g) = g - 1. Let m be r(-4). Let d = m + 16\/3. Which is the nearest to d? (a) 0.4 (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 3. Let l be z(5). Let k = -1\/276 + -733\/828. Let f = 83\/63 + k. What is the smallest value in l, f, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 3*j**2 - 2 - 6*j**2. Let p(g) = 5*g**2 - g + 7. Let d(b) = -9*k(b) - 2*p(b). What is d(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 171.58 and -22059?\nAnswer: 22230.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 - 172 = -7*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553774 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*w + 4*f - 2*f, -3*w + 95 + 2 = -25*w - f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (116\/(3248\/42))\/(4\/(-136))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2011a85 (base 12) to base 10\nAnswer: -5995973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 5)*(-689 + 689 - 6*i)*(1 - 1 + 2)*(-19 + 6 - 8).\nAnswer: -504*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33050 (base 6) in base 15?\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -7 (c) -24 (d) 2\/9 (e) 2 (f) -0.05 (g) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c + c**2 + 2*c + 0 + 6 + 0*c**2. Let y = -58 + 54. Calculate n(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by -158?\nAnswer: -38\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*t + 30 = 21*t. Let s(r) = 3*r + 19. What is s(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 2996*z**3 - 3*z.\nAnswer: 2996*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*j = -124416 + 20886. Calculate the remainder when j is divided by 81.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + 2 + sqrt(52)\/((sqrt(4) - sqrt(8)\/sqrt(2)) + sqrt(4)).\nAnswer: 2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550158271.\nAnswer: 13, 31, 1093, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-24 + 4)) + 5 + (2 - 6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:15 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5403 + 2191. Round d to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q\/(q*q*q**(-8\/7)))\/q)\/(q*(q**(2\/23)\/q*q)\/q))**(-2\/67) assuming q is positive.\nAnswer: q**(-340\/10787)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*k**3 + 73*k**3 - 78*k**3.\nAnswer: 90*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4770 + 2?\nAnswer: -4768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105\/(-14)*(-2)\/6*14610\/25 is divided by 51.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0.5, 0.1, 0.022, 5, -1114 in decreasing order.\nAnswer: 5, 0.5, 0.1, 0.022, -12, -1114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 2. Let r be i(-4). Find the second derivative of 3*b - b - b - r*b**4 - 2*b wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 + 90*w**2 + 4*w + 3. Let r(l) = l**3 + 15*l**2 + 2*l - 1. Let v(k) = -5*r(k) + x(k). What is v(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.235 + 506.765. Let b = f - 507. Let h = -0.2 - -0.6. What is the closest to b in h, 3\/8, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llil. Give prob of sequence lil.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 135996 divided by 6\nAnswer: 22666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-9 - ((-1650)\/(-60) - 33))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7448 is divided by 102.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17373665 divided by 2?\nAnswer: 17373665\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 397110 rounded to the nearest 1000?\nAnswer: 397000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 11. Let g be u(-4). Let j be -2 - g\/1*-6. Suppose -j*f = -f - 117. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 + 704 = 77*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2477.6 to the nearest 10.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154532527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.046899 + -0.047. Round c to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116915539?\nAnswer: 13, 31, 290113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + sqrt(297)\/(sqrt(9) + sqrt(144)))\/(sqrt(176)*-4) + 3)**2.\nAnswer: -9*sqrt(3)\/20 + 14427\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, -3, 2, -103, 0 in descending order.\nAnswer: 2, 0, -3, -103, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m - 2. Let h be d(-1). Solve y - 2*l = -2 - 6, 3*y + 9 = h*l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + n + 1. Let s be p(1). Let g(m) = -m**2 - 7*m - 9. Let y be g(-4). Let b = y - s. Solve -4*c + b*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13846?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 362509*u + 1. Let j be r(-1). Let h = j - -1323873. Suppose a = 6061365 - h. Round a to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4. Let d(u) = 4 - 2*u - 1 + h. List the prime factors of d(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*u**3 + 0 - 16*u**3 - 904*u**2 + 3 + 0 + 33*u + 894*u**2 in the form s*u**2 + d + j*u**3 + l*u and give l.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -47574201820 rounded to the nearest 1000000?\nAnswer: -47574000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 - 195\/(-185) - (-20751)\/111 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 + y - 2. Let b be s(1). Suppose -b*c + j + 3329227 = 13428354, 4*j - 6732768 = 2*c. Let x = c + 10476374. Round x to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 1431*o - 2871*o - 24 + 12 in the form f*o + a and give f.\nAnswer: -4302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3249\/(-1036) - 0 - 0 - -2. Let a = 1\/148 - q. What is p in 2\/7*p**3 + a*p**2 - 2\/7*p**4 + p - 1\/7*p**5 + 2\/7 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.13, 10 in ascending order.\nAnswer: -0.13, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 20684\nAnswer: 6205.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h = -2*b + 8, 0 = 3*b - 5*h - 12. Let y = 16 - b. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - (-4 - -9)) - -6 - (14 + 14)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 24. Let p be v(-10). Solve -3*f + 17 = m, p*m - 28 = -0*m - 2*f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*m + 55 = 0, 61 = 4*t - 3*m + 6. Calculate the least common multiple of (-1)\/(1\/(-5) + 0) and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -902 by 104.\nAnswer: -451\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -263 + 262 - ((0 - 2) + -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + s**2 + 7. Let i(u) = u**2 - 4*u. Let z be i(4). Calculate the smallest common multiple of 2 and p(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3327 - -303.0673. Let u = 303.40002419 - k. Round u to 6 dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 divided by 2\nAnswer: 131\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 300190.5nm in meters?\nAnswer: 0.0003001905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/427 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-2\/3)*h)**(-43)\/((h*h**(-6)\/h*h)\/(h*h**4))*((h\/h**(2\/15))\/(h*h*h**(1\/5)))\/(h\/(h\/(h*h**(-3\/2)))*h**6) assuming h is positive.\nAnswer: h**(-309\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + -38646996.\nAnswer: -38647030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163034543, -326069090, -489103635, -652138178, -815172719?\nAnswer: -978207258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(210\/(-20))*(-18)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 24. Let u(q) = -q - 3. Suppose 7*j = 2*j - 45. Calculate the remainder when d is divided by u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -893*q - 95. Let f(y) = -19*y - 2. Give -95*f(x) + 2*l(x).\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-4)*x*x*(x\/(x\/(x*x\/(x\/x**(5\/4)))))\/x)\/(x**(-8)\/x**(1\/15)) assuming x is positive.\nAnswer: x**(1039\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 at most -7644\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 = 3*j. Suppose j*b = -b + 3, 5*q + 186 = -4*b. Let x be 2\/(-6) - q\/6. Solve -5 = -0*z - 2*z + s, -3*z + s + x = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15355515 divided by 438729?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**3 - d**2 + 5*d + 5. Let n(y) = 11*y**3 - 2*y**2 + 8*y + 8. What is 8*l(t) - 5*n(t)?\nAnswer: t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*(m*m*m**(-5))\/m)*m**(-2\/21))\/(m**13*(m\/(m*m*m*m*(m**1\/m)\/m*m))\/m))**10 assuming m is positive.\nAnswer: m**(-1070\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/21 - ((-287)\/(-49) - 5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -92\/125 (b) -100 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1184*t**2 - 10*t - 6. Let w be y(9). Let x be ((-150)\/(-8))\/(5\/w). What is x rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.3 + 24. Sort 10, -4, v in ascending order.\nAnswer: -4, v, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1348171?\nAnswer: 11, 122561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 227 + -206. Suppose -l*h + 2 = n - 16*h, -h = 0. Let w(p) = 21*p**2 + 1. What is the lowest common multiple of w(1) and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 74660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -1, -0.4, -5, 2, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**2 - 3*x + 2584. Let i(n) = -26*n**2 - 16*n + 12921. Determine -2*i(w) + 11*z(w).\nAnswer: -3*w**2 - w + 2582","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8 = x, 0 = -x + 3*b - 4 - 13. Let y(p) = -13*p**4 + 52*p**3 + 40*p**2 - 2. Let j(m) = m**4 + m**3 - 1. Let o(d) = x*j(d) + y(d). Solve o(z) = 0.\nAnswer: -2\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -142, -180, -216, -250?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, -3, -2, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v - 5 + 12*v + 0 - 10*v to p*v + k and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23260385 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Suppose v = h - 2 - 1. Solve -3*s = -6*s - h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -729*s = 3*t - 8*t - 724*s - 100, -5*s = -t - 104 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4344*y + 176*y**2 - 4344*y + (2*y + 2 - 2)*(-4 + 4*y + 4).\nAnswer: 184*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b1 + -5?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by 6\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465232 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/54 and -4\/6674589.\nAnswer: 13349178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0111 rounded to two decimal places?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12773189 - -0.3?\nAnswer: -12773188.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 9*b + 17. Let h be v(-6). What is the units digit of ((-9)\/(-27))\/(h\/(-129))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - -2*sqrt(832)) + -3 - ((sqrt(832) + -1 + sqrt(832) - sqrt(832))**2 - sqrt(832))*2 - (6*(-2 + 1*sqrt(832)))**2) + -3.\nAnswer: -31768 + 1224*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 22*u**2 - 2*u + 21. What is l(22)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -4, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b - 7*b - 3*b. Suppose -4*g = n + 4, n - 6*g = -3*g + 10. Let w(v) = -2051*v - n*v**2 + 2051*v. Give l(w(q)).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57911 by 4248.\nAnswer: 57911\/4248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttmtmtamam. Give prob of picking 1 a, 1 t, and 1 m.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1260*w**2 - 3*w**3 + 1260*w**2.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = t - w - 4, 10 = -5*w. Let g = -234 + 237. Suppose -3*d = -2*f - 6*d + 279994, -g*f = t*d - 419994. What is f rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.19 + 0.01. Let f = 1 - -3. What is the nearest to 0 in r, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-24))\/((-2)\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10013 - 160151\/16. What is the common denominator of 6\/((72\/171)\/((-1)\/4)) and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 281 + -218. Let o = 72 - m. Which is the biggest value? (a) 1\/2 (b) -1 (c) o (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -739 and -2303.\nAnswer: -3042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -8*a + 70. Suppose -h + 4 = -z - 3*h, -3*z = 2*h + 24. Let t = z + a. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*b = -125*b - 6708 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 - 7536*p**2 + p**3 + 7536*p**2 - 4*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 7)*(-6*q - 4*q + 12*q)*(1 + 8 + 11).\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -39793.25744 to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2987 - -1968. Let o = q + 2159. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(54)\/sqrt(2))\/sqrt(9) + (5*sqrt(48) - sqrt(3))**2) - ((sqrt(300) - ((sqrt(300) + 0)**2 - sqrt(300))) + 3*(sqrt(18)\/sqrt(6))**2).\nAnswer: -6207 - 26*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and -177?\nAnswer: 4602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(45) + sqrt(405)) - (sqrt(3645) + 2*sqrt(3645) - sqrt(45)))\/(((sqrt(144)*-1)\/sqrt(4))\/(sqrt(484) + 1*sqrt(484) + sqrt(484))).\nAnswer: 198*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 6:09 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 1. Let a(k) = 1. Determine 4*a(x) + v(x).\nAnswer: -x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*a - 17*a - 15*a)*(-2 + 2 - 1)*(1 - 2 + 2*a - 4*a).\nAnswer: -14*a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1471323 times -0.4\nAnswer: -588529.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*g + 7299 - 15581 = -5447 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3032003 (base 6) to base 15.\nAnswer: 2cb46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 117 - -4?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 8 - ((-8 - -2) + 19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = 33*m - 154 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -9*h**2\/2 + 346*h + 171. What is the units digit of r(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1641 divide 885444408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*q**4 - 20*q**4 + 13*q**4 + (-q - 6*q - 3*q + 2 - 2 + q + (-q + 4*q - 2*q)*(-2 + 3 + 0) + 5*q - 4*q + q)*(-2*q - 11 + 11)*(3*q**2 - 4*q**2 - 3*q**2).\nAnswer: -35*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {n: 9, i: 3, o: 5, y: 3}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104925.39 months to centuries.\nAnswer: 87.437825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0 + 9. Let y(a) = -a + 2. Let p be y(d). Solve 4 = p*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -3*x**6\/10 - 7*x**3\/6 - 3*x - 19. Find the second derivative of k(w) wrt w.\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 3*m + m - 1)*(-2*m**3 + 4*m**3 + m**3).\nAnswer: 6*m**4 - 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) -2\/25 (c) 0 (d) 504\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(209)*4*-6*3)\/(-1*(1*sqrt(66))\/sqrt(6)))**2.\nAnswer: 886464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 802773.7 weeks to microseconds.\nAnswer: 485517533760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.5 + 1.5. Let h = -298.9701 - -328.969976. Let p = z - h. What is p rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*z + 14*z - 25*z + (z - 2*z + 2*z)*(4 - 1 - 2) + z + 3*z - 2*z + 0 + 0 + 2*z.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2 + sqrt(153)*-2 - 3*2*sqrt(153)) - (-6*1*sqrt(153) + 3 + sqrt(153) + 0)*4)**2.\nAnswer: -864*sqrt(17) + 22176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w - 12. Let o be p(-2). Let c(g) = -3*g**3 - 6*g**2 - 5*g + 2. Let l(z) = -4*z**3 - 7*z**2 - 6*z + 3. Determine o*c(q) - 5*l(q).\nAnswer: 2*q**3 - q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -7.27?\nAnswer: 7.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p + 6. Let z(u) = -u. Let a(d) = t(d) - 3*z(d). Let v be a(6). Suppose -4*x = -v*x - 44. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89 + 88.58. Let w = b - -3.42. What is the closest to -2\/9 in 4, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((288\/(-7))\/2)\/((-49)\/((-2221954)\/(-123))).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3520)\/256)\/((-9)\/((-324)\/15)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3928 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 5 (c) -1 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40950 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20545192?\nAnswer: 2, 109, 23561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (985\/1773)\/(((-12)\/6)\/(2\/(-1)))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 504, 439, 338, 207, 52, -121, -306?\n\"Answer: k**3 - 24*k**2 + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -334583.1628 to the nearest 10.\nAnswer: -334580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 42*b**2 + 49*b - 80. Let d be q(41). Let o = d - 245. Solve -h = 1 - o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/124)\/(5\/((-100)\/(-15)))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -917166.4 - -0.035?\nAnswer: -917166.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 323 = h, p - 3*h - 537 = -4*p. Let t = p - 44. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68892 + 68892 - 96*i**3 + i.\nAnswer: -96*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -310668*a**2 + 1. Let u(b) = 6*b + 12. Calculate u(f(l)).\nAnswer: -1864008*l**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2044 + -1154. Suppose -12*b + n = 62. Suppose 182 = 10*y - 58. Calculate the remainder when b is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/3)\/(2\/9). Let k(n) = -a + 1 - 3 - n. What are the prime factors of k(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. What is the highest common divisor of 8 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (sqrt(343) + 3))*6 + 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.4552722mg?\nAnswer: 455272.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 14*h**2 + 8*h + 25. Let b be v(-13). Suppose -2*p = -4*f + 164, 3*p + 0*p = 2*f - b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13008 is divided by 764?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/10)\/((-6)\/(-15)). Suppose -r = -2*l - 4. Let a = 1.96 + 0.04. Sort -2, l, a.\nAnswer: -2, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -595*m**3 + 5497*m**2 - 1270*m - 72.\nAnswer: -(m - 9)*(7*m - 2)*(85*m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by 12\nAnswer: -103\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5177*k**2 + 4443750 - 4443750.\nAnswer: 5177*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -57\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h + 13. Let r(c) = -3*c - 2. Let z(u) = 4*u + 1. Let l(q) = -3*r(q) - 2*z(q). Let t = -2 + 3. Let b be 2 + 0 + (t - 10). Determine b*l(d) + 2*o(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 3348 = -3335 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 4292 = -47*f. Find the second derivative of 70 + 73 - 83*k**2 + 9*k - f wrt k.\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 227 - 59. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 11*x = -468. Let o = 38 + x. Is 14 a factor of 182\/o*1\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from fgbwqgmf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1499 + 1516. What is the greatest common factor of r and 3043?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000100 - -1101110?\nAnswer: 10011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:55 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 48, 106, 184, 282, 400, 538?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516317 is divided by 192?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*g**2 - 33*g**2 + 9*g**2 to x*g + d + o*g**2 and give o.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 486 and 3969?\nAnswer: 23814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v + 2. Let u(k) = 0*k - 3*k + 1 + 2. Let j(w) = -3*d(w) + 2*u(w). Let r(m) = 6021*m - 3018*m - 3006*m. What is r(j(p))?\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*s - 18 = 3*s, 4*p = 3*s + 72. Suppose 242 - 2 = 20*u. Calculate the greatest common factor of p and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45625 is divided by 7481.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 271447053 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6088859.54 to the nearest one hundred.\nAnswer: -6088900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1004 + -789. Calculate the remainder when t is divided by 60.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -b014c?\nAnswer: -b0146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 95*b**3 - 93*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 67 + 23 = 0. Suppose n*b - 6*b = 35. Let l(q) = 2*q + 4. Let f be l(b). Calculate the greatest common divisor of 12 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by 167.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 9. Let o = -52 - -41. Let j be w(o). Suppose -j*v = 3*q - 3545, -v + 3544 = 3*q - 0*v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millimeter in micrometers?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*v - 115 + 33 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 28, 0, -135, 2, 1 in increasing order.\nAnswer: -135, -3, 0, 1, 2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 7*j)*(8 + 35 - 3 + 18).\nAnswer: -406*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by 1333\nAnswer: -55\/1333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**4 - 102*h**3 + 994*h**2 - 2298*h + 1404 = 0.\nAnswer: 1, 2, 9, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 111101000?\nAnswer: -111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14\/5*(-3735)\/498\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 18 = 10. Let t(u) be the first derivative of 0*u + 0*u**3 + 0*u**x - 3\/2*u**2 - u**5 - 2. Find the second derivative of t(r) wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -680820 + -4?\nAnswer: -680824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-2)*(-6)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -23025705?\nAnswer: -23025707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252\/42*3\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 11. Let q be h(7). Suppose u + q*u = 20. Suppose u*b + 3 - 23 = 0. Solve 0 = b*j + 4 + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89 + 218 - 152 + 1502 + 482)*(0*y**4 + 0*y**4 + 2*y**4).\nAnswer: 3922*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 10312314212?\nAnswer: -10312314222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 2225*f**4\/12 + 223*f**3\/2 - 1030*f. Find the second derivative of o(l) wrt l.\nAnswer: 4450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -222.32 + 222. What is the second biggest value in -3, f, 1\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*d - 965 = 195 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8 - 70\/(-8). Suppose 4 + 24 = 4*o. Let y = h - o. Solve y*s + 10 = 7*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 720003718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14200, 12305, 10410, 8515, 6620, 4725?\nAnswer: 2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 36063 (c) 188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**7\/70 + h**6\/40 - h**5\/5 - h**4\/2 - 12*h**2 - 19*h. Factor s(q).\nAnswer: 3*q*(q - 2)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*v**3 - 2*v**2 + 0*v**3 - 4*v**3 wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/142152 and 113\/177690.\nAnswer: 710760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 0.03, 0, -4, -1, 63?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32492880, 64985761, 97478642?\n\"Answer: 32492881*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 15508 - 8919 = -6*l, 3*s = l + 73319. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -5, -0.08, 4\/3, -289, 0.1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/757 < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 5. Let s be m(6). Suppose 2*n + 3*w = w - 2, -4*n + s = -3*w. Solve q = -n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*q - 3*x + 6, -3*q + 2 = 5*x. Let w be 1\/q - (-5)\/(-20). Solve -6 = -3*n - w*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11078939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 3\/7 (c) 193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4303654 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/350 and 47\/300.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1708 and -31\/30744.\nAnswer: 30744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = -12. Let j be 0\/1*(-6)\/c. Solve z = 5*v + 5, 0 = 4*v - 5*z - j*z + 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + (-80 - -82)\/((-20)\/(-26))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -34*j + 37*j, 0 = 5*y + 3*j - 8586. What is the smallest common multiple of y and 738?\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c + 9. Let f(y) = y + 57. What is a(f(q))?\nAnswer: -3*q - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4834*m**4 + 766 - 3*m - 9665*m**4 + 4832*m**4)*(0 - 1 + 2).\nAnswer: m**4 - 3*m + 766","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38005 is divided by 309?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppccpppppppcppppp. What is prob of picking 3 c?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 5 - (-6 - -23 - 18)) + (-5 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 7*p + 6. Determine s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -19100.3106365398?\nAnswer: 19100.2106365398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220548979?\nAnswer: 7, 19, 87277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 283\/3, 0.01, 2\/13, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 76*l - 74.\nAnswer: -2*(l + 1)*(l + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 10:49 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/28750 and 113\/100?\nAnswer: 57500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**10\/d*d)**(4\/19)*(d**(4\/5)*d)\/(((d\/d**(-6\/13)*d*d)\/d)\/d))**(5\/9) assuming d is positive.\nAnswer: d**(3278\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let h(w) be the third derivative of -775*w**4\/12 + 405*w**2. What is i(h(l))?\nAnswer: 1550*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -245*o**5 + 7420*o**4 - 8545*o**3 - 17410*o**2 + 8340*o + 10440 = 0. What is o?\nAnswer: -6\/7, 1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (6 + 0 + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 18 - 9. Let m = 15 + y. Let x = m + -3. Solve 0 = x*v - 3, -5*u - 2*v + 1 = -1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-414)\/(-5))\/(8\/(-15)). Let i = z - -156. Let k be 6\/(-4) - 0 - -2. What is the closest to k in 0.3, i, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5075, 5074, 5071, 5066, 5059?\nAnswer: 5050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 21 = 3*m. Let s = 23531 + -23531. Which is the nearest to s? (a) -3\/4 (b) 3\/2 (c) m (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(180)*-3*-4 + (sqrt(180) + -3*sqrt(180) + sqrt(180) - sqrt(180))*2)\/(-3*(sqrt(54)\/sqrt(3))\/sqrt(2)*-5).\nAnswer: 16*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-15)*-2 - 372\/(-30). Suppose k*a - 136 = 14*a. Let q be (14\/a)\/((-2)\/(-4)). Are 0 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 9*u - u**3 - 9*u.\nAnswer: -u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 12 = 2. Suppose -5 = 4*z + 3. Let a be (20\/4)\/(z\/(-16)). Calculate the greatest common factor of a and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*x + 4*x**4 - 5*x**4 + 5*x + 3*x**4 wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*u + 40, 4*s - 32 = -5*u - 2. Suppose 4*r - 5*a - s = 0, 5*r - 12 = 5*a + 3. Suppose c + 100 = r*c. Solve 3*m = -2*m - c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p**3. Let n be m(1). Let q = 3 - n. Let a(h) = -351*h + 2 + 355*h + 1. What is a(q)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -4*b - 21, 24*b = 42*m - 47*m - 125 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -29*o**6\/30 + 10*o**2 + 27*o. What is the first derivative of l(m) wrt m?\nAnswer: -116*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2\/3 - 246*z - 333060 = 0.\nAnswer: -546, 915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {l: 5, g: 3, n: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**2 + 1\/3*m**3 - 1 + 0*m. Find the second derivative of t(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/13 + 56*d\/13 - 392\/13.\nAnswer: -2*(d - 14)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222 + 2?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02249 - 910.62249. Let j = -911 - s. Suppose -3*k = 4 + 2. Which is the third smallest value? (a) k (b) j (c) 20\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00649 - 161.962.\nAnswer: -161.96849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*b - 849*b - 2071*b - 398*b.\nAnswer: -2845*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -58*r - 3. Let b(d) = 92*d + 6. Determine -3*b(g) - 5*s(g).\nAnswer: 14*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 53 = n, -289*x + 36 = -286*x + 2*n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91229 less than -0.06898?\nAnswer: -91229.06898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 9922\/158371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/42 and 73\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - 2*y**2)*(2 - 2 - 1) - y**2 + 2*y**2 - 2*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 223 - 3?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 77*a**2 + 21319*a - 21319*a in the form q*a**2 + u + w*a and give q.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 249, 464, 619, 696, 677, 544?\n\"Answer: -3*r**3 - 12*r**2 + 272*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b - 9 - 31. Is 20 a factor of -6 + (-10)\/b - -64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufvfv. What is prob of sequence vu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 4. Let i be y(-4). Suppose 0*a - 25 = 5*a. Let n be (-4)\/(-1) - (-6 - a). Sort i, n, -1 in increasing order.\nAnswer: -1, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*p**2 + (-p + 2 - 2)*(-3*p + 0*p + p) - 3*p + 3*p + 4*p**2 + (4*p - p - p)*(-3*p + p + p) + p**2 + 5*p**2 - 5*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18d (base 14) to base 11.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-48)*-6*-8. Suppose a = z*j + 5*a - 854, -5*a = -10. List the prime factors of j.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 678.7 millimeters to nanometers.\nAnswer: 678700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, k: 2, z: 3, e: 2}. Give prob of picking 1 m and 3 z.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32312*l = 31456*l - 4280 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2\/2 + 51*w\/2 - 27 = 0. Calculate w.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28254 and -99069020?\nAnswer: 99097274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -114 (b) -22 (c) 0.1 (d) 2\/37 (e) 1 (f) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -138109624 divided by 2?\nAnswer: -69054812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4*o - 3 = 7, -i - 7 = -4*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 106*s**5\/5 + 3*s**2\/2 - 4*s - 47. What is the second derivative of t(g) wrt g?\nAnswer: 1272*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(136) + 2*sqrt(136))*5)\/(1*sqrt(48)\/(sqrt(12)\/sqrt(2))).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11219754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229 divided by 3?\nAnswer: 1229\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6\/73, 411, -5, -1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -68 (b) -256 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1320 - 575. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00442045218 to six dps.\nAnswer: 0.00442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1879*b + 450*b - 125350 = 207*b + 38250 for b.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 6494598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/7)\/(-3) + (-3017850)\/(-770)?\nAnswer: 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -318a (base 13) to base 10\nAnswer: -6874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 4*d - 10. Let f be k(-6). Suppose -15 = -3*g + 2*o, -5*o = -2*g + g - 8. Differentiate -f - 7*x + g - 2 with respect to x.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 25, 18, 11, 4, -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20 - 42*d**4 - 41 - 37 wrt d?\nAnswer: -168*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (72\/(-60))\/((-2)\/(-20)). Suppose 0 = -2*a + z - 10. Suppose -c = 4*r - 58, -5*r + 128 = a*c - 0*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 10*b**2 - 9*b + 9. Let k(s) = -517 - s**3 + 20*s + 1029 - 571 - 10*s**2. Let f be k(-12). Determine m(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 9:05 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 - m**3 + 14*m**4 + 5 - 12*m**4 - 7 in the form i*m + y*m**3 + j*m**4 + u + v*m**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, 520, 3, -5.\nAnswer: -5, -0.2, 3, 5, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32755*g - 32819*g - 32773*g + 131111*g - 32765*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 13 = 3*k, -4*k + 4*k + 78 = 15*k + y - 31 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**4\/24 + f**3\/2 - 2*f**2. Is s(3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x - 1. Suppose 3*l - 10 = -5*c - 30, 0 = 2*c + l + 7. Let i be g(c). Solve -i*v - 10 = -25 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dsmeed.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/(4\/(-132)). Suppose 0 = -3*c + r + 7, s + 4 = 5*c - r. Suppose -c*b = -9*b + 65. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*g = -273*g - 276*g - 500 for g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 1137471 = 2*y, -89*d + 90*d - 162517 = -5*y. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159548604*c**4*g**2 - 226*c**2*g**2 - 8*c**2 + 3*c*g**2 + 4471 wrt c?\nAnswer: -3829166496*c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in 1, 0.4, 3, 20.9?\nAnswer: 20.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 24 - 1 = 6*r, -6*r = -17*s + 16*s - 25 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wye when three letters picked without replacement from {w: 5, v: 1, y: 2, e: 1, r: 6, j: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 70*o**2 - 96*o**2 + 46*o**2 - 5 = 0. Calculate o.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:15 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from {o: 2, f: 17}?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 145*q - 145*q. Let d(g) = -3*g**2. Give d(j(n)).\nAnswer: -27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y**2. Let b(x) be the second derivative of x**3\/3 - 2*x. Determine t(b(h)).\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169 + -127. Suppose -b*x - 925 = -47*x. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 12 - 5)*(-3*f + 2*f - 4*f)*(-196*f + 6 + 58*f + 94*f + 70*f) to the form y*f**2 + d + v*f and give v.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.38 - 0.272. Let j = 0.12 - x. Let m = -0.14 + j. Round m to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006387 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5661?\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1408313 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17592890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 + 305 + (-21 - (0 - 1) - (6 - 4)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**5\/20 - x**4\/12 - x**3\/2 + 3*x**2\/2 - 12*x. Give n(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 366*t**2 + 2*t + 129. Is u(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1.2, -0.05, -37?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28879101, 28879103, 28879105, 28879107, 28879109?\nAnswer: 28879111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, d: 3}. Give prob of picking 2 f.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -200 (c) 497\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((28 - -6)\/34)\/((-1)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48782 or -146344\/3?\nAnswer: -48782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/2 + 871*j**2\/4 + 14981*j\/2 + 14122.\nAnswer: (j + 2)*(j + 92)*(6*j + 307)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0091 + -0.00909098. Round p to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - r**2 + r + 2. Let h be o(0). Let p(l) = -2*l**2 + 0*l**2 + 4*l**h. Let y(i) = -8 + 4*i**2 + 16 - 8. Calculate y(p(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 3513?\nAnswer: 3513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2489*r**3 + 1607*r**2 - 8*r. Let q(u) = -9956*u**3 - 6430*u**2 + 29*u. Let n(o) = 22*a(o) + 6*q(o). Find the third derivative of n(h) wrt h.\nAnswer: -29868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**3 + z**2 - 6*z + 10. Let w(s) = 4*s**3 + s**2 - 5*s + 9. Let i(j) = -5*m(j) + 6*w(j). Let o be i(0). Solve o*b - 12 + 0 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -451, -902, -1353, -1804?\nAnswer: -2255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43380 and 234520?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c9d460 + 4?\nAnswer: -c9d45c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5689 - -5696. Solve -16 = 5*x + 4*m, 3*x - o*m + 8*m = -11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y + 4*y**3 + 9*y**2 + 9*y - 3 - 9*y. Let n(b) = 9*b**3 + 19*b**2 + 11*b - 7. Let z(s) = 7*c(s) - 3*n(s). Determine j so that z(j) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1839336 a multiple of 346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2502 + 2510. Solve -2*h = -6*h - x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-2 + 1 + 0). Suppose 4*l + 3*g = 6*l + 7, l + 16 = 4*g. Let c = l + -2. Solve -x = c*o - 8, -s*o - o + 7 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 82209.\nAnswer: 46\/82209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((h*h\/h**(-1))\/h))\/(h*h**4))**(-24) assuming h is positive.\nAnswer: h**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52139*k - 52323*k + 104465*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 + 7*a - 20. Let y(d) = -4*d**2 - 6*d + 28. Let o(l) = 3*r(l) + 2*y(l). Let q(w) = 3*w**2 + 26*w - 11. What is -11*o(f) + 4*q(f)?\nAnswer: f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q + 3, -10 = -3*m - q. Suppose -l + 20 = 4*l. Let y(z) = -2*z + z**3 - 9*z**2 + 2*z**2 + 4*z**2 + l. Give y(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/2)\/5*(-16)\/(-12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/9697 + -28301\/3830315. Let a = 16 + -17. Is x equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366 a factor of 200031030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 k, and 1 i when three letters picked without replacement from {w: 1, g: 1, j: 1, i: 5, k: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 + 3*v - 5. Let q(f) = 0 + f**2 - 2*f - 1 + 3*f. Let n(u) = 4*u**2 + 5*u + 8 + 6 - 11 + u**3 + 2*u**2. Let g be n(-5). Calculate g*q(s) - i(s).\nAnswer: -s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 - 13*u - 14. Let r be q(-1). Put -14, 5, 4, r in ascending order.\nAnswer: -14, r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1100) + -2 + 2 - sqrt(1100) - sqrt(1100))**2 - (sqrt(33) + (sqrt(66)*1)\/sqrt(2))\/(3*sqrt(3)*-2 - sqrt(3)).\nAnswer: 2*sqrt(11)\/7 + 1095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48 - 2?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - n + n**2)*(37 - 6 - 2) in the form o*n**2 + z + t*n and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/29? (a) -1 (b) -1\/3266 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420373 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1979 or -931?\nAnswer: -1979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49.9 + -50. Let o be -2 + 5 + 0 - 2. What is the closest to -1 in 0, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from {m: 1, c: 1, l: 2, f: 7, i: 4, j: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 756 = -u + 4*u. Let n(t) = 31*t + 13. Let i be n(-6). Let b = u + i. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 13*g + 20. Suppose 2*o = 5*x - 3 - 65, 3*o = -2*x - 64. Let z = -19 - o. What are the prime factors of w(z)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -173541146*d - 16675237?\nAnswer: -173541146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2671*j - 11289 = 29696 - 11604 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/3 + 18*j**2 - 54*j + 29. Let g be t(-36). Is -52 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*m**3\/3 + 1594*m**2\/3 - 14605*m\/3 - 19044.\nAnswer: -(m - 23)**2*(37*m + 108)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -15. Let t be ((46\/j)\/1)\/2. Let m = t + 107\/20. Sort -1\/3, -4\/3, m in descending order.\nAnswer: -1\/3, m, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 2*p**2 - 3*p. Let s(k) be the third derivative of -k**6\/24 + 11*k**5\/60 - 2*k**4\/3 - 416*k**2. Let c be (8\/14)\/(4\/28). Give c*s(i) - 22*x(i).\nAnswer: 2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2617 + 2699. Let p = -6 - -47. Calculate the highest common divisor of p and o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*y**2 + 0 + 6\/5*y.\nAnswer: 3*y*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7152?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 7*s + 3. Let c be n(7). Suppose 4*k - c = 7*k. Let p = -4569 + 4573. Which is greater: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 134\/3. What is the second biggest value in 10, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 0*u - 3*y - 12, 0 = 3*u - 2*y + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13816240 and 108802890.\nAnswer: 870423120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*52\/195.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 2)*(2 - 3 + 3)*(-1 - i + 1).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 491 + -161. Let z = p + -330.1. Which is the closest to z? (a) -2\/21 (b) -0.8 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 0.17. Let x = s + -0.38. What is the nearest to -1 in x, 1\/6, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.14 - -11.86. Let o = 12.06317 - 0.01917. Let i = o - c. Round i to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-33)*j**7*j\/(j\/j**(2\/27)) assuming j is positive.\nAnswer: j**(191\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -1\/13, 1 in increasing order.\nAnswer: -1\/2, -1\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -10*j + 5. Suppose -2*b + 4*f + 148 + 208 = j, 4*f + 878 = 5*b. What is the remainder when b is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 74, 0 in ascending order.\nAnswer: -27, 0, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2247 - -2195. Let g(r) = r**3 - r**2 + r - 55. Let h be g(0). Let a = l - h. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 794387 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11358880 and 1064895.\nAnswer: 34076640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/100 and -46\/1225?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 15. Does 9 divide i(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 40 = 14*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 2*g = 13*v - 20, 3*v - 4*g - 38 = 0. What is the third derivative of -21*b**v - 86*b**2 - 3*b**6 - 388 + 390 wrt b?\nAnswer: -2880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 543\/8 - 68. Let o = 1526 - 1525. What is the third smallest value in y, o, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7) + (-26)\/7. Let j(o) = -3*o**2 - 3*o - 3. Let z(x) = -4*x**2 - 2*x - 2. Let k(t) = -3*j(t) + 2*z(t). Let c be k(f). Solve -u = 3 + c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -0*w - 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 4, -17, 3527, 20, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*p + 2*x - 7, x = -3*p + 5. Solve 22 = -2*b - 5*d, -3*b - 7 = p*d - d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2. Let o(h) = 3*h**2 + 40*h + 7. Let y(c) = c**2 + 27*c + 5. Let k(p) = -5*o(p) + 7*y(p). Give k(r(g)).\nAnswer: -32*g**4 + 22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkjkcjckekpkc. Give prob of picking 1 k and 1 j.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.089944 and -1?\nAnswer: -0.089944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -27714*w + 1025421. Let p be l(37). Determine g, given that -8\/13*g - 2\/13*g**p + 0 + 10\/13*g**2 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/59345 and -89\/32370.\nAnswer: 356070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 561\/17*2\/3. Suppose 0 = z*v + 13*v - 350. Solve 0 = 3*i - v + 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 + 55 = 15*u. Calculate the smallest common multiple of u and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -29192.3 and -0.02?\nAnswer: 29192.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1148.7 + -1149. Let q = 17 - 17.2. What is the third smallest value in 5, t, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 18 = -4*a + 2*a, 2*a - 503 = -99*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -91, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44, 9, -58, -163, -312, -511, -766?\n\"Answer: -n**3 - 10*n**2 + 2*n + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11 - 16*s**2 + 13*s - 7 + 10*s**3 + 0*s**2 - 11*s.\nAnswer: 2*(s - 1)**2*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(18 - 26 + 26)*(0*d**3 - 4*d**3 - 2*d**3).\nAnswer: 108*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -19. Find the second derivative of 3*m**2 - 8*m**3 + y*m - 13*m - 3*m**2 wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, m: 4, s: 6, t: 2, b: 1, c: 1}. What is prob of sequence ttbc?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3913 - 4*f**3 + 32*f - 3910 - 94*f + 6*f**3 - 2*f**2 as k*f**3 + i*f + b + l*f**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-32))\/((-1)\/(-6))*-1\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3 - 21*u**2 + 3. Let k(x) = 11*x. Let a(r) = 8*r**2 - 23*r - 2. Let d be a(4). Let l(g) = 2*g. Let h(j) = d*l(j) - 6*k(j). What is z(h(f))?\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -319, -361, -413, -475, -547, -629?\n\"Answer: -5*z**2 - 27*z - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13369492 is divided by 514207?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 = -5*o, -2*o - 9 = -4*m + 9. Let h(q) = -19*q - 1. Let p be h(o). Suppose -5*z - 144 = -6*z. What is the greatest common divisor of p and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 28*x**2 + 22*x - 80. Calculate the lowest common multiple of t(-27) and 15*-3*(-1 - 0).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j - 43. Give l(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1765*r + r**2 - 6 - 524*r + 6.\nAnswer: r**2 + 1241*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02117 to four dps.\nAnswer: 0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41935316, -41935315, -41935314?\n\"Answer: r - 41935317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 1:58 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 382 = -362 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -3*i - 14, l = 262*i - 261*i - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/36*9\/(-30)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b = 18*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 19734*j**3 - 12*j**2 - 26*j - 130. Let l(p) = 6578*p**3 - 4*p**2 - 9*p - 43. Let y(c) = -17*l(c) + 6*w(c). Find the third derivative of y(n) wrt n.\nAnswer: 39468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12*v**2. Let j be -6*(-2)\/27 - 15\/54. Let w(i) be the second derivative of -i - j*i**4 + 0*i**3 + 0 + 0*i**2. Give q(w(y)).\nAnswer: 48*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73730894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**2*t**5 - k**2*t - 284*k*t**4 + t**2 - 289 wrt t?\nAnswer: 60*k**2*t**2 - 6816*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -413329.\nAnswer: -413329.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-341330)\/87)\/(-55))\/((-2)\/(-10167)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(632*o - 1082*o + 555*o)*(-2*o**2 + o**2 + 2*o**2 - o**2 + 3 - 3 + (-o - o + o)*(1 + 2*o - 1)).\nAnswer: 420*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 - i**3 + 53479*i**2 + 53664*i**2 - 107143*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171 + 173. Let u = -7 + 11. Which is the second biggest value? (a) u (b) o (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/32)\/(108\/(-72)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.61019mm in micrometers?\nAnswer: 68610.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*f = -70*f - 5*f + 7968 for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1096 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1875*s**2 + 79*s + 19. Is c(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, j: 6, a: 5, u: 6}. What is prob of picking 3 a?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 20 = -5*h, c - 2 + 3 = 4*h. Solve 0 = -0*l - l + c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 - 30206 + 0*j**4 - 36*j**2 + 30203 - 4*j**3 to the form f*j**4 + o + g*j**2 + i*j + r*j**3 and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 5*w**2 + 3*w + 2. What is the tens digit of t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 bigger than 102592\/6319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -128? (a) -4 (b) -3 (c) 0.3 (d) -1\/6 (e) -73\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1376*g**2 + g**3 - 5*g + 4*g + 1030*g**2 to y*g + t*g**2 + c*g**3 + f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 231.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*j = 133*j - 2, n + 4*j - 3272 = 0. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.91 + -0.71. What is the closest to -2\/3 in a, 3, -1, -2\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**3\/2 + 13*z - 1. Let i(t) = -3*t**2 - 2*t**2 + 4*t**2. Determine v(i(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112 - ((-1 - 3) + 2).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**3 + 11412*p**2 - 1491480*p - 19548000 = 0.\nAnswer: -12, 150, 2715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17*0.1.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 14*m. Let h(v) = -586*v - 6. Let l(u) = -115440*u - 1184. Let f(s) = -592*h(s) + 3*l(s). Give f(c(i)).\nAnswer: 8288*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88037639 is divided by 4107.\nAnswer: 4094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1065, -0.5, -57, -2\/3 in ascending order.\nAnswer: -1065, -57, -2\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:03 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2. Let q(h) = -12*h + 4. Let t(c) = -25*c + 9. Let v(k) = -9*q(k) + 4*t(k). What is p(v(y))?\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 11 - 6. Let r be (g\/3*0)\/1. Solve r = -2*y - 0*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*m + 18 = 48, 5*i - 54 = 4*m. What is the fourth biggest value in 3, -1, 2\/3, i, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -5*m + 7. Let l = 16 - m. Suppose 0 = -5*n + 4*x + 64, l = -n - 3*x + 20 + 8. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/56)\/((-3)\/(-2) - 2). Let 1\/2*x**5 - z - x**3 + x**2 + 1\/2*x - 1\/2*x**4 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(4\/3)\/(u\/(((u*u*u*u\/((u\/u**9)\/u*u)*u)\/u*u)\/u)) assuming u is positive.\nAnswer: u**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 7*n - 6. Suppose -4*a = -4 - 8. Let p(v) = 5*v**3 + 20*v + 17. Let c(d) = a*p(d) + 8*z(d). Determine c(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + 55)*(-86)\/22059.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (-3 - (24 + -28))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 + -687\/7. Let f = 3\/28 - r. Suppose -2*n + 7 = -3. What is the closest to f in -0.5, -1, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 12:23 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, b: 2, g: 2, d: 5, o: 1, f: 2}. Give prob of sequence gdod.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/8 - 57*u**2. Let c(s) = -6*s**2. Calculate c(q(f)).\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4145 divided by -829.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o. Let d(w) = 8*w**2 - 2*w - 4. Let q be d(1). Let n(c) = 15 - 276*c**q - 5 - 5 - 5. Determine m(n(j)).\nAnswer: -552*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a68c41 - 5b?\nAnswer: -a68c9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-24)*(-24)\/(-16)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -976920 divided by -35?\nAnswer: 27912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/154311928 and 19\/192889910?\nAnswer: 771559640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 73*l + 788. Give y(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-15228)\/144)\/(14\/16*(-3852)\/1498)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12535047.\nAnswer: 3, 7, 29, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-20))\/1*(-30)\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 95855220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 5. Let d = n + 1.4. Let u = -13.5 - -14. Which is the third smallest value? (a) 3\/4 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 6*a**2 + 11*a - 2. Calculate the remainder when r(-8) is divided by ((-30)\/(-15))\/(4\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 5*l + 35 = 0, -45*n - 5*l = -97*n + 49*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 + 51*p**2 - 58*p - 56. Let k be s(-18). Solve 18*t - k*t - 4*c + 10 = 0, -c = 3*t - 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(78)*2*-1)\/(sqrt(150) + 3*(sqrt(150) - -2*sqrt(150) - sqrt(150)) + sqrt(150) + 2*sqrt(150)*-3).\nAnswer: 16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 0.3, -5, 1.5 in ascending order.\nAnswer: -5, 0.3, 1.5, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 57*a**2 + 28*a - 1511. Determine j(-56).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 - (-69022)\/11472. Let s = 6\/239 + r. Calculate the common denominator of 79\/2 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -15*l**2 - 2*l + 8. Give h(2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.6 - 27.5. Which is the nearest to r? (a) 6\/7 (b) 4 (c) -2\/11 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/2)*m\/m**4*(m*m**1)\/m*m*m\/(m\/((m\/(m**(-4)\/m))\/m)) assuming m is positive.\nAnswer: m**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 - 6*f**5 + 2*f**5 + (-3*f + 6*f - f)*(-4*f**4 - f**4 + 4*f**4) - 483*f**3 - 5*f + 482*f**3 + 5*f**5 - 4*f.\nAnswer: f**5 - f**3 - 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 14*i - 2)*(0*i + 0*i + 2*i)*(-2*i**3 - 2*i**3 + 2*i**3) + 8*i - 2*i**5 - 8*i.\nAnswer: 54*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3 + 6 - 2 + 39*x + 4*x. Let m be k(-4). Let j = m - -506. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-45)*(-10295)\/142?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 13*s - 8*s - 5*s. Let a(u) = -45*u**2. What is a(l(y))?\nAnswer: -45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 17. Let x be c(9). Let l = x + 12. Let k(n) = n**3 + n**2 + n + 28. Let u be k(0). Solve -4*h - u = 4*w, -3*w + l*h = h - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13375, -27912, -42457, -57010, -71571, -86140, -100717?\nAnswer: -115302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -73502 (base 8) to base 6\nAnswer: -353202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a + 2. Let c(q) = -q**3 - 28*q**2 + 87. What is the remainder when c(0) is divided by g(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -2d592?\nAnswer: 2d58c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m + 4. Let d be t(-2). Suppose -152*q + 157*q - d = 0. Solve q*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 950 + -11?\nAnswer: 93a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.2011494 less than 208?\nAnswer: 229.2011494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11 and 2 + 0 + (-79)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 + 5*w**2 + 7*w. Let u(x) = -x**3 + x**2 + x. Calculate -i(o) + 6*u(o).\nAnswer: -4*o**3 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1112220 and 148.\nAnswer: 1112220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Let o = 7 - 7.4. Sort o, t, 4\/3 in increasing order.\nAnswer: o, t, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 2125*j**2 - 23226*j + 22. Determine g(-11).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 16*3\/((3\/38)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0047 and -4.\nAnswer: 0.0188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.552 and -0.6.\nAnswer: 0.3312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2850898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 less than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2. Let y be 2\/(-12) + (-75)\/(-18). Let k(h) = -y + h**2 + 4. Give i(k(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**4\/2 + 98*p**3 + 57*p**2\/2 - 258*p + 130 = 0.\nAnswer: -65, -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/9)\/1*(-27)\/(-12). Do 11 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2431*a + 2435*a = 84, 0 = 3*t + 5*a - 120 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a + 472. What is the hundreds digit of q(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 201*l + 0 + 56*l + 2 in the form a*l + n and give a.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33322 (base 4) to base 3.\nAnswer: -1101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + o**2 + 108*o**2 + 350*o**2 + 118*o**2 - o**3 in the form l*o**3 + x*o + v + q*o**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 7*y**2 + 6*y - 5. Let c be s(-7). Suppose 81 = 2*t - t. Let r = c + t. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-397)\/(-3) - (-2 - -2 - 21\/(-63)). Suppose -3*a + 408 = -5*g, -4*a + g - 3*g + 518 = 0. Which is greater: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Let k be (-2)\/5*10*m. Is 2\/k + 69\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -446, -858, -1920, -3938, -7218?\n\"Answer: -51*y**3 - 19*y**2 + 2*y - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 14. Suppose 15 = -f*n + 11*n. Solve 7 = -2*z - n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000998 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -284, -293, -304, -317, -332, -349?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40.7 - 0.7. Let p = i - 39.977. What is p rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 3. Let k(p) = -p - 2. Let f = -1 + 2. Let t be (f + -1)\/(-3 + 2). Let l = t + 4. What is l*y(c) - 7*k(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 + -72. Find the second derivative of -22 + m*i**4 - 8*i**3 - 5*i**3 - 2*i - 2*i**3 + 10 wrt i.\nAnswer: 24*i**2 - 90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58949.\nAnswer: 11, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33540*d**3 - 4*d**2 - 52*d - 3689?\nAnswer: 201240*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*k**5 + 282*k**3 + 11*k + 3584?\nAnswer: -440*k**3 + 1692*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1871, -3741, -5613, -7487, -9363, -11241?\nAnswer: -13121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1 = -3*z, 4*a - 2813 = z. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36110 - 36494 = 64*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y\/(y\/(y**13\/y)))\/y*y\/(y\/((y\/y**18)\/y)) assuming y is positive.\nAnswer: y**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r + 142. Calculate the remainder when j(32) is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(39) - sqrt(39))*-2)\/(sqrt(3) + sqrt(3) + (sqrt(108) - -2*sqrt(108))).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/4 + 49*d**3\/4 - 87*d**2 - 125*d + 200 = 0. What is d?\nAnswer: -2, 1, 10, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmxmmkmhxmkmmmkm. Give prob of sequence kkh.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-33)\/(-374)*34.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10498949969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(5\/7))**(8\/9)*w*w**(-3)*w**(-1\/27))**(-2\/31) assuming w is positive.\nAnswer: w**(194\/5859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z + 18*z - z**2 + 0*z**2 - 9 + z. Let y be ((-384)\/54)\/32 - (-130)\/18. What is k(y)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2) - 123\/82?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 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 x(f) = 8*f - 106. Give x(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*z - 3, 2*z + 2*z + 4 = -4*g. Let t = g - -21. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -545*d - 1. Let r be g(-1). Let u = 948 - r. Suppose 1519 = 5*t + u. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34.4 + 42. Let l = -94.6 + d. Let b = l - -86.844. Round b to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8063.1 - 8064. Which is the closest to z? (a) -4 (b) 1\/3 (c) -43 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-11*d**2 - 3*d**3 + 11*d**2) - 3*d**3 + 0*d + 0*d + (-14*d - 15*d - 9*d)*(d**2 + 0*d**2 + 0*d**2).\nAnswer: -35*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4411.2 + 86.5148614?\nAnswer: -4324.6851386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*-5*(sqrt(1100) + 0 + sqrt(1100) + -5)*-1)**2.\nAnswer: -1620000*sqrt(11) + 35842500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - a**2)*(-4*a**3 + a**3 + 2*a**3) + (-a**5 + 0*a**5 + 3*a**5)*(8 - 7 + 32).\nAnswer: 67*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 90499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 2*o + 4. Let q be d(3). Solve -4*u - 16 = 0, -2*h + q*h + 6 = -4*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101689113.\nAnswer: 3, 1399, 24229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -18. Let t = 10 - v. Suppose 0 = t*y - 48 - 63. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*w**6 - 40*w**2?\nAnswer: 15360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 6*g + 9. Let v be m(-7). Let i = -37 - -261\/7. Which is the smallest value? (a) i (b) 4 (c) v (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1445 + 2908. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 7:03 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*d**4 + 21*d**4 - 57*d**4 + 2*d**4 + 1 - 1 + (-3*d**2 + 3*d**2 + d**3)*(0 + d + 0) to a*d + i + f*d**3 + h*d**2 + t*d**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**3\/4 - 285915*v**2\/4 + 71478*v = 0 for v.\nAnswer: 0, 1, 95304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -12 + 23. Is 20 a factor of (1\/(i\/4))\/((-2)\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 4, 1\/5, 0.1.\nAnswer: -18, 0.1, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 7:35 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 3*t**2 + 4*t + 32. Determine l(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04088882 rounded to three dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o - 5*i + 29, 2*o + 2*i - 34 = 0. Let a = -7 + o. What is the common denominator of 83\/10 and (-3)\/(60\/a) - -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783 = -41*u + 18 + 317 + 153 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 7*d**2 - 3*d + 10. Suppose -22*z + 81 = -73. Determine w(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(432)*1 + sqrt(432))**2 - sqrt(432)) + -5 - (4*2*sqrt(18) + sqrt(18))\/(sqrt(60)\/(sqrt(10)*-2) - sqrt(6)).\nAnswer: -6*sqrt(3) + 1726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 195 = -5*j, i - j = 4*i - 97. Differentiate -45*t**2 + i*t**2 - 13 + 30*t**2 with respect to t.\nAnswer: 38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52.535 - 52.535. Let q = 1.1 + -0.6. What is the closest to -2\/3 in -0.5, 9, q, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414423004 is divided by 3551?\nAnswer: 3549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*n - 17 = 0, o + 3*n + 13 = 5*o + 47 - 18 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28766, -57541, -86316, -115091, -143866, -172641?\n\"Answer: -28775*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - -0.32879.\nAnswer: -5.67121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 750.456 + -0.456. Let t = 750 - o. Which is the nearest to 0.1? (a) 0.6 (b) 1 (c) t (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r - 25 = -51*r. Let z be (-2)\/12 + (-50)\/(-12). Suppose -4*j + z = -3*j. Solve -j*t - 16 = 0, -r*c - 6*t + 5*t + 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 98, 105, 114, 125, 138, 153, 170?\n\"Answer: r**2 + 4*r + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -104857243, -209714486, -314571729?\n\"Answer: -104857243*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 times 0.037?\nAnswer: 8.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/75*40\/4)\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 12873454136.\nAnswer: 12873454135.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.902 + -0.9. Let s = -25.998 - c. Let q = s - -26.0000142. What is q rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76227? (a) 2 (b) 3\/5 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k - 0. Let m = 43 - 26. Calculate the least common multiple of (-28)\/7 + (m - 1) and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321, 1304, 3019, 5460, 8621, 12496, 17079?\nAnswer: 22364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - 51. Let w(a) = -9*a**2 - 3*a - 13. Let k(q) = 5*q**2 + 2*q + 7. Let y(c) = u*w(c) + 7*k(c). Give y(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**3\/6 - 2*v. Let k(p) = 26*p. Determine k(y(b)).\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59a + -74a?\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from {h: 5, o: 2, p: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36031560 and 30.\nAnswer: 36031560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5.4. Suppose -2*l = -3*u + 16, -3*l + 2*l - 11 = -3*u. What is the second smallest value in -6, l, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2875325.\nAnswer: 5, 115013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**3 - 5*z**2 + 7*z - 4. Suppose 4*r - 3*b - 17 = 0, 0*r = -2*r - 3*b + 31. Let m(k) = 5*k**3 + 8*k**2 - 11*k + 6. Determine r*h(q) + 5*m(q).\nAnswer: q**3 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3 - 1. Solve 3*d - s*d = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a + 6. Let s(n) = 87*n + 31. Let b(u) = 206*u + 73. Let x(r) = 8*b(r) - 19*s(r). Determine 4*m(k) + 5*x(k).\nAnswer: -9*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g**2 - 6. Let h(t) = -21*t**2 - 13. Let l(q) = -6*h(q) + 13*s(q). Let y(i) = 4*i**2. Calculate l(y(n)).\nAnswer: -64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 62687518 + -7?\nAnswer: 62687511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + (sqrt(405) + 1 + 0 + sqrt(405))**2.\nAnswer: 45*sqrt(5) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -88*s - 793. Calculate the remainder when x(-15) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -136078\/15 - -9072. Let l(i) be the first derivative of -6*i - 44\/9*i**3 - 4\/3*i**4 - 8*i**2 - 8 - g*i**5. Factor l(b).\nAnswer: -2*(b + 1)**2*(b + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 5, -23, -105, -265, -527, -915?\n\"Answer: -4*a**3 + 9*a**2 + 3*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 693 and 504.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11014882*i + 28063785 with respect to i.\nAnswer: -11014882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) + -1*sqrt(209))*-6)\/sqrt(11))**2 - (-5 + sqrt(304) + sqrt(19)*2*-3)**2.\nAnswer: -101 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1319 divided by 1?\nAnswer: -1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79 + 3*k**3 - 2*k - 4*k**3 - 80 to the form x*k**3 + u*k + i*k**2 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11110\/(-396))\/101)\/(-10*3\/9)*-4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -282 - -940. List the prime factors of s.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7cd56 - -1b?\nAnswer: 7cd72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y**4\/8 + 52041*y**3\/4 - 451151*y**2\/8 + 115687*y\/2 - 34707\/2 = 0. What is y?\nAnswer: -11569, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -125850, -125844, -125834, -125820, -125802, -125780?\n\"Answer: 2*d**2 - 125852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 13 + (2 - 3). Let z(k) = -3*k + 21. What is the remainder when 4\/(-10) + (-102)\/(-5) is divided by z(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42886 + -21 + 30 - -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 525.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.07, -88 in descending order.\nAnswer: 0.2, 0.07, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**2 + 0 - 3*f + 1\/12*f**4 + 0*f**3. What is the derivative of t(o) wrt o?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859*u - 3 - 253*u - 265*u - 331*u.\nAnswer: 10*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*g + 79, 31 + 10 = 2*h - 3*g. What is the remainder when 167 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 26 - 9*f**2 + 26*f + 18*f**2 - 8*f**2. Let w be g(-25). Let l = -7 + 4. Which is the second smallest value? (a) -0.5 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2299) + -2 + -2*(1 + sqrt(2299)) - (sqrt(2299) - (sqrt(2299) + -2 + 5))**2*2) + -4.\nAnswer: -33*sqrt(19) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 431?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -2. Let t(h) = -230*h + 9. Let i(a) = 197*a - 10. Let p(l) = -7*i(l) - 6*t(l). What is the lowest common multiple of 6 and p(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llwwlwwwll. Give prob of sequence lww.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560 and 13880?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*p + 5272 = -2288 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 greater than or equal to -212399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4838?\nAnswer: 2, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/78 and -55\/36.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -0.5 (c) 0.656 (d) -0.664 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -14*g**3\/3 - 21*g**2\/2 - 709*g + 762. Differentiate c(k) wrt k.\nAnswer: -28*k - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (456\/(-16))\/(-57)*1\/((-55)\/4).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. Let k = -0.999924 + j. What is k rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x - 202 - 414 = -11*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581607357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 - (-9 + 5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-5)*42\/(-10))\/(14\/66)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 17\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 16 = 2*f, -f - f - 2 = 4*i. Let o be 6\/(-9)*(-4 + 87\/24). Factor 0*k + o*k**i + 0 + 1\/4*k**3.\nAnswer: k**2*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 1. Let r = y - -11. Let d = -244\/1417 - -2\/109. Which is the closest to 0? (a) r (b) 0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 90*v**3 + 0*v**2 - 10*v**3 - v**2 + 7 - 3 to r*v**3 + n*v + j*v**2 + m and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 57, 80, 99, 114, 125?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/10)\/(12\/(-30)). Find the third derivative of o**3 - 12*o**4 - o**3 - o**2 - 9*o**m wrt o.\nAnswer: -288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 75*p**2 - 1062*p + 3888.\nAnswer: -(p - 3)*(p + 24)*(p + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126002*f**4\/7 - 251000*f**3\/7 - 123996*f**2\/7 + 1000*f\/7 - 2\/7 = 0. What is f?\nAnswer: -1, 1\/251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -0.3, -5, 2\/61, 79, 5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 19, 4, -246, -5, 1 in decreasing order.\nAnswer: 19, 4, 1, -4, -5, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -12*j**2. Suppose 0 = -4*q + 4. Give u(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5260807457?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -12*b - 1. Let a be y(-2). Suppose -j + a + 2 = 0. Calculate the highest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6273, 6329, 6445, 6639, 6929, 7333?\nAnswer: 7869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16933, -38932, -60931, -82930, -104929, -126928?\nAnswer: -148927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22687144 and 12.\nAnswer: 68061432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-366)\/(-10) + 21\/(-35). Calculate the remainder when 17 is divided by (c\/(-27))\/((-2)\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4360945932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -131, -200, -289, -404, -551, -736, -965?\nAnswer: -1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c - 45*c - 380*c**2 + 39*c + 417. Let s(q) = 192*q**2 - 209. Let r(w) = 4*d(w) + 9*s(w). What is the derivative of r(z) wrt z?\nAnswer: 416*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + (-65)\/(-13))\/(2\/(-6)). Solve 5*i = 2*g - q*g + 15, 0 = 4*g - 3*i - 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -10. Let r(b) = b**2 + 12*b + 24. Let a be r(-10). Suppose -2*v = 2*q - 62, -l*q - a = -0*q. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.056702667 - 971.920137333. Let o = -972 - r. What is o rounded to three decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -56. Suppose 3*d - 2 - p = x, 0 = -4*d + 4*x + 20. Calculate the least common multiple of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*m + 2*m**2 + 259*m.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 0.01 (c) -366363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -3872\/3*h - 2\/9*h**3 + 88\/3*h**2 - 55. Factor c(d).\nAnswer: -2*(d - 44)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + b - 274, 0 = -6*g + 4*b + 229 + 349. What is the least common multiple of g and 345?\nAnswer: 10695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -12. Find the third derivative of 0 + 0 - 3*c**2 + 14*c**k - 12*c**4 wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 869 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a**5\/a))\/a*a)\/a)\/(a\/(a\/(a\/a**(1\/4)))))\/(a**(-1))**20*(a*a**(1\/2)*a*a)**(1\/3)\/(a**(-1)\/a)**39 assuming a is positive.\nAnswer: a**(1133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:30 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110011101110111 (base 2) in base 12?\nAnswer: 7721b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41009*o = -41002*o - 84 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 190882?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffmm when four letters picked without replacement from {m: 3, f: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450125*r**3 + 450245*r**3 - 900462*r**3.\nAnswer: -92*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(136))\/(sqrt(32)\/sqrt(36)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/411332 and 55\/12512.\nAnswer: 3290656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 980325?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2752603 is divided by 13362?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n\/(n\/((n\/n**43)\/n*n)))\/n)\/n*n)\/(((n\/(n\/(n\/((n\/n**(-2\/11))\/n))))\/n)\/n))\/(n**34)**(35\/2))**(-13\/2) assuming n is positive.\nAnswer: n**(91065\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ngengeeneehenhg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -205286, -205284, -205284, -205286?\n\"Answer: -d**2 + 5*d - 205290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*k = -37*k + 330. Sort 4, 6, 5, k in increasing order.\nAnswer: k, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5220*r*v**2 + 6*r - v**2 + 8354 wrt v?\nAnswer: 10440*r*v - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5951.55 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3. What is the third derivative of b**2 + c + 0 - b**5 wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*t**5\/5 + 154776*t**4\/5 - 51568*t**3\/5 - 85976*t**2\/5 - 17196*t\/5 = 0. Calculate t.\nAnswer: -1\/3, 0, 1, 4299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -40*l - 70. Let c be d(-18). Suppose 656*i = c*i + 3300. Is 55 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/2))\/a*a\/a**(-10))**(-1\/51)\/((a\/(a**(-2\/3)*a))**13*(a\/((a**1*a)\/a)*a)**42) assuming a is positive.\nAnswer: a**(-5189\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 11:36 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + -2)*1 - (sqrt(1216) - -5*(-1 + sqrt(1216))))**2.\nAnswer: -240*sqrt(19) + 30409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7155400 to the nearest 100000.\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -825.69 to zero dps.\nAnswer: -826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1571 times 282800\nAnswer: -44427.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 3*w**2 + 5*w + 1. Let a be h(4). Suppose 0 = -6*t + a*t - 6. Let c(g) = g**2 + 2*g + 8. What is c(t)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 + 3*a. Let f(i) = i**3 + 2*i**2 + 7. Let p be f(-3). Let r be y(p). Does 8 divide 24\/r*(3 - 57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60115291913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q**8\/q))*q\/(q**15*q)*q*q assuming q is positive.\nAnswer: q**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165*p**2 - 4 + 174*p - 532*p + 181*p + 178*p wrt p?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 - 140 + 65*m**2 - 9*m - 35*m**2 - 36*m**2.\nAnswer: -6*m**2 - 9*m + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 12 = -0*i. Suppose 0 = -k - k + 30. Calculate the greatest common factor of i and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8296 = 5*h - h, a = -4*h + 2744. What are the prime factors of a?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-85 + 111) - 1062\/(-82)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 238007 = 4*d + 238011, 4 = d - 2*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-2)*126\/(-15). Let p be (c + 0)*(-4)\/(-14). Let b(h) = 3 - 3 - h + 0. What is b(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 1003*f**2\/4 - 990*f + 2961\/4.\nAnswer: -(f - 3)*(f - 1)*(4*f - 987)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 254264771349.\nAnswer: -254264771349.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((1204\/903)\/((-21)\/45))\/(1\/(-14))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 8*k**2 - 9*k + 7. Let l(o) = -2*o**3 + 17*o**2 - 19*o + 15. Let n(h) = 5*c(h) - 3*l(h). Let m be n(10). Solve m = -x - x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 3*y**2 + 467*y + 1760. Give q(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12144303841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127\/185 - 18\/37. Determine q so that 0 - 3\/5*q**4 + k*q + 3\/5*q**2 + 4\/5*q**5 - q**3 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + (-1*sqrt(225))\/sqrt(5))\/((1*sqrt(81))\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 2:13 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16\/7, -0.02, 3, -9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - r - 3. Let w be z(-2). Let t(v) = v**3 - 13*v**2 + 8*v - 20. Let g be t(12). Let i = -63 - g. Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnja. Give prob of sequence nn.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -100, -2, 19, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 8*s**2 - 9*s + 4. Let i be o(9). Suppose 2*q + 4*b - 29 = -1, -2*q = -i*b + 4. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(100\/16 - 4). Suppose w + 20 = k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7199*a. Let k(y) = 2*y**2. Determine w(k(p)).\nAnswer: -14398*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 1280, -1\/6, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + j**2 + (6*j + 4*j + j)*(11 - 11 + 8*j))*(-5*j - 4*j**2 + 5*j) as x + y*j**2 + m*j**3 + g*j**4 + u*j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -164649 times -230?\nAnswer: 37869270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1112443 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-1184)\/6))\/(3615\/(-4820))\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, 1, -12, -33, -62?\n\"Answer: -4*o**2 + 7*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3068 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by -5.\nAnswer: 67\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence duuu when four letters picked without replacement from {d: 14, u: 5}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 3952753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 5:34 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 31*s**4 - 5*s**3 - 253*s - 2. Let n(g) = -16*g**4 + 3*g**3 + 127*g + 1. Let f(d) = 10*n(d) + 6*v(d). Find the second derivative of f(l) wrt l.\nAnswer: 312*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 * 19008\nAnswer: 1197504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*z + 5*b, -2*z + 3*b + 100 = 2*z. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*y - 4*r, -3*y + 3*r + 0 = 6. Let j = 2072\/3 - 709. Find the common denominator of y + 2 + 87\/(-9) and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 327. Let m(x) = x**3 - 23*x**2 - 24*x + 60. Let l be m(24). What is the highest common factor of h and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -425 = -443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/(t*t*t**(-2\/9)))\/t*t**(-1\/3)*((t**(-2\/7)\/t)\/t*t)**(-35))\/((t**(-4)\/t)\/t**(-4))**(-1\/16) assuming t is positive.\nAnswer: t**(6455\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -208 and 0.05.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17067520\/54240*(-12)\/(-118).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - w**3 + 3)*(-3 - w + 74 - 26) as h*w + n + p*w**2 + s*w**3 + z*w**4 and give s.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpqpp. Give prob of picking 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 24*c = -21. Let s = -2.4 + 2.9. What is the third biggest value in c, 1, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfjfjjvtafxx. What is prob of sequence ft?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-four fifths of a meter?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -q + 4*f, 5*q + 25 = f + 71. Find the first derivative of -q + 23*i**4 + 50*i**2 - 50*i**2 + 3 wrt i.\nAnswer: 92*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 345485110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 17 - 17 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -d + 2. Let m = d - 3. Calculate the least common multiple of 9 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) + (20\/16)\/5. Suppose -2*n - p = -b*p - 88, -226 = -5*n - 4*p. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) - 3\/2. Let n(i) = 4*i**3 + 13*i**2 + 5*i + 7. Let f(l) = -l**3 - 3*l**2 - l - 2. Let y(v) = s*n(v) - 9*f(v). List the prime factors of y(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -3\/2, -0.9, 1268, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 3. Determine y(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -4*z - 5*g, 0 = 3*z - 4*g - 5 - 12 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 - 103 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 759355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 48093634*b + 578249407831489.\nAnswer: (b - 24046817)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 63. Let o be (a\/(-4) - 4)*-6. Suppose o*j - 6108 = 3*t, 0 = -0*j - j + 5*t + 2020. Round j to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - a**3 - 4)*(-766 + 32 - 7)*(3*a - 4*a + 3*a).\nAnswer: 1482*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 11:07 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(15\/(-2))*3\/11.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 580024.6 centimeters?\nAnswer: 5800246000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5189 - 719 = 2*q, -5*q = -20. What is the greatest common divisor of h and 816?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -694, -1538, -2718, -4234, -6086?\nAnswer: -8274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 5*t = 1 + 3, t - 2 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 16*s - 18 - 10 + 30 + 6*s**5 - 2*s - 4*s**2 - 12*s**3 + 2*s**4. Let p(v) = v**5 + v**4 - v**3 - v**2 + v. Let q(o) = -c(o) + 8*p(o). Solve q(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29809?\nAnswer: 13, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.459, 1, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + a6cc96?\nAnswer: a6cc9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - ((-3)\/6 + 904\/(-16)). Suppose 55*t - 53*t = g. What is the remainder when 70 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*d - 44, 47 = 2*x - 2*d - 27. Suppose 0 = 3*n - 10 - 20. Calculate the greatest common factor of n and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(240\/(-18)) - 70\/16. Let w be -2 - -3 - (-14 - a). Let m(v) = 2*v**3 - v**2 - v. Let t(l) = -5*l**3 + 3*l**2 + 2*l. What is w*m(b) + 4*t(b)?\nAnswer: 2*b**3 + b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -606774, -606692, -606610, -606528, -606446?\nAnswer: -606364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -205883*a**3 + 2*a**2 + 455*a - 13 wrt a?\nAnswer: -1235298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(1 - 3 - 1)*(2*i**4 + i**4 - i**4).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c2 + -1?\nAnswer: -1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 26*q + 14. Let m be l(-12). Let y = -29 + 48. What is the remainder when 5\/(30\/(-9)) - 745\/m is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 27 = 3*h - 8*b, -2*h + 4*b = 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*(-20)\/(-50))\/(6*1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 - -1.21. Let q = s - 24.52. Let g = q - -35.4. Round g to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 2122 + 792 = 0. Let i = h + -136. Let w = -2 + 1. What is the third biggest value in 11, w, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5) + 882\/(-15)*(-24)\/(-1944).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-24)\/30*(-5)\/3. Suppose -p*o - 17 = -5*o. Differentiate o*m**4 + 25 - 3*m**4 + m**4 wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5966949.03 rounded to the nearest ten thousand?\nAnswer: -5970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 21*j + 12. Let z be l(19). What is the highest common factor of 60 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 28 = -0*r - 2*r, -40 = -4*w + 4*r. What is the second derivative of 3*u + 4*u + u**3 - 2*u - w*u**3 wrt u?\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7002 + -7002. Solve 2*a + 4*t - 9*t + 11 = 0, g = -5*a + t - 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65650391?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + -5 + -1 + -4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 20, -8, 4\/3 in ascending order.\nAnswer: -8, 4\/3, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 8*d - 7. Let p(f) = -f**2 + 21*f - 59. Let k be p(4). What is y(k)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2610*b**5 + 2*b**4 + 21*b**3 - 8857*b**2 - 9*b wrt b?\nAnswer: -156600*b**2 + 48*b + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*o - 240 = -5*o. Sort 44, 1, o in decreasing order.\nAnswer: 44, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/17980 and -51\/9610.\nAnswer: 557380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -q - 2*n, -3*n - 17 = -3*q + 13. Let k = -7 + q. Solve s - 5 - 12 = 5*a, k*a = -5*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 - (26 - 30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 232810749?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88577413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2341 - 2333. Let b(f) be the second derivative of 3\/2*f**2 - 5\/6*f**3 + g*f + 0. Determine b(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1636 - -924. Let j = u + 162. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 15 - s - 9.\nAnswer: -s + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.73 equal to 0.621179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398808.\nAnswer: 2, 3, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**3 + 19773*p**2 - 19773*p**2.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000389443 to 6 decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcq. What is prob of picking 1 c and 1 q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + 0*n**4 + n**4)*(n + 0*n - 2*n) + 73*n**5 + 268*n**5 + 140*n**5 + 0*n**4 + 2*n**5 + 0*n**4 + (-2*n**5 + 2*n - 2*n)*(-3 + 4 - 3).\nAnswer: 488*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 b, and 2 p when four letters picked without replacement from pfbkwwk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 176 = f, 306 = 3*m + 4*f + 52. What is the first derivative of 76*s**4 - 161*s**4 + 74*s**4 - m - s**2 wrt s?\nAnswer: -44*s**3 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5950.6 to the nearest 10.\nAnswer: 5950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1130, 1119, 1094, 1049, 978?\n\"Answer: -g**3 - g**2 - g + 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47 + 57 - 46 - 83)*((o**2 - o**2 + 2*o**2)*(2 - 2 + 2) + 23*o - 2*o**2 - 23*o) in the form x*o**2 + j*o + y and give x.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 403, 683, 995, 1351, 1763?\nAnswer: 2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.075 + -2.855. Let v = -4.93 - d. What is the second biggest value in -0.5, 2\/13, v, 1.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1855, 7546, 17035, 30322, 47407?\nAnswer: 68290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 625*m**8\/144 - 425*m**7\/42 + 80*m**6\/9 - 26*m**5\/9 - 2*m**4\/3 + 8*m**3\/9 + 145*m**2. Determine n, given that o(n) = 0.\nAnswer: -1\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5657 is divided by 1865?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 21*u**2 + 4*u - 1828. Determine h(24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 735\/(-1470)*2\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d**2 + 153*d**2 + 37*d**2 - 10*d**2.\nAnswer: 200*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 4 = -22 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1177 - -1099.7. Round v to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 - 5*a - 55. Let v be w(-4). Suppose 9*y + v*y = 4*y. Solve 3*s - 1 + y = -5*m, 4 = 4*m + 4*s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + 4.95. Let w = -6.98 - 0.02. Let z = n + w. What is the third biggest value in 3, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5063420?\nAnswer: 2, 5, 409, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 = -52*l + 17*l + 983 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**3 - 69*w**2 + 234*w = 0.\nAnswer: -26, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -429 - -745. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 23*m**2 - 2813*m + 545. Calculate x(122).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110.498 - 65.751. Round i to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**19*u*u*u**(-8) assuming u is positive.\nAnswer: u**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -2\/5, -2, 823, -5?\nAnswer: 823","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3 = -5*v, 4*s = -5*v + 9*s. Let b(i) = 1 - 4*i**2 - 3*i + 0 + 7*i**2 + i**2 + 3*i**3. Let z be b(v). Solve 1 + z = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 125 + 1 - (11 + -13). What is the highest common factor of x and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 87, -171, -599, -1197, -1965, -2903?\n\"Answer: -85*j**2 - 3*j + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 612*w**2 + 14*w + 9. Let m(v) = 305*v**2 + 7*v + 4. Calculate -4*k(s) + 9*m(s).\nAnswer: 297*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000072514 to six decimal places.\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1466415936?\nAnswer: 2, 3, 2545861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 915448642 a multiple of 2398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-1 - 0) + 5. Suppose d*a = 4*a - 4. Suppose -4*s = s - 3*z - 16, -a*s + 17 = -z. Calculate the remainder when 13 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 2:53 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345918 = -4*x + l + 306244, -30 = -5*l. What is x rounded to the nearest one thousand?\nAnswer: 163000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -12.1. Let u = -11.6 - j. Let m = u - -2.6. What is the closest to -2\/3 in 4, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32382522 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l, 3*a - 5*a + 4*l + 22 = 0. Suppose a*i + 45 = 342. What is the highest common divisor of i and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42666 - -1?\nAnswer: -42665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7017 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: Let c = 201 + -293. Let b = -73 - c. Solve 0 = 3*m - 3*p + 6, -2*p + b - 6 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, m: 1, c: 3, b: 10}. Give prob of sequence bkm.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 - 44*w**2\/3 + 206*w\/3 + 84.\nAnswer: 2*(w - 14)*(w - 9)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + sqrt(15)\/((sqrt(18) - sqrt(72) - sqrt(18))\/sqrt(6) - sqrt(3)) - (-1*sqrt(200))\/(sqrt(10) - (sqrt(10) - sqrt(50)\/(sqrt(5)*-2)))))**2.\nAnswer: 390*sqrt(5) + 1070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-8)\/(-64)*6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5287*f*h*z**2 + 197*f*h + 18*f*z + 3*f + 2*z**2 + 497*z wrt h.\nAnswer: -5287*f*z**2 + 197*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18.5 or -29056?\nAnswer: -29056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 430576803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 46 = 62. Let c be 8\/(2*(-2)\/(-18)). What is the greatest common factor of z and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 15*j**2 - 960*j + 33. What is d(64)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/1115, -25, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u + 2*j - 98 = 9*u, 2*j = -10. Suppose 4*r + 4*b - 6 = 14, -3*r + b = -7. Suppose r = q - u. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 12*g**2 - 24*g - 57. Is v(-4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 + 1791*b + 528642 = 0. What is b?\nAnswer: -258, 2049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -0.5 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65241 take away -2?\nAnswer: 65243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3383808409?\nAnswer: 61, 5179, 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -525.000389 - -525. Round f to 5 decimal places.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5163 + -111102?\nAnswer: -103717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (132765 - 7271*p - 132765)*(-2 + 5 - 2) to the form u*p + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + -3 + -3 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeteteeeeeeeeee. What is prob of picking 3 e?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -37*b + 163 + 164 + 166 - 651 + 168. Suppose -t = -5*t - 8. What is the tens digit of u(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 + 0.32. Sort f, 1\/3, -3\/7, 2\/7 in descending order.\nAnswer: 1\/3, 2\/7, f, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 6*h + h + 2*h + 4. Let g(q) be the first derivative of -q**2\/2 + 3*q - 1. Give -6*g(p) + 4*t(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2999844, -5999703, -8999564, -11999427, -14999292, -17999159, -20999028?\n\"Answer: -t**2 - 2999856*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3723987766?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -35. Let w be (13 - 0)*(5 + -4). Let l = w - n. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from iigiiiiiiiiig?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (140\/(-8))\/(-7) + -3. Let k be (-22)\/(-55) - (-1)\/(-5). Which is the second biggest value? (a) k (b) y (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5131178 divided by 19?\nAnswer: 270062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 299*t + 300*t - 599*t - 25*t**2 - 83 with respect to t.\nAnswer: -50*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -615 in 64.3, -8, 0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/133 - 468\/114?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -2, 0.01, 21\/5, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 2*k**2 - 2*k + 1. Let j be o(-2). Let b = j + -3. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/((-14400)\/(-60))*(-8)\/(-4))\/((-14)\/(-2)).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10569 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 17*k - 1440. Calculate the highest common factor of k and 7632.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*j**2 + 23*j**2 - 91*j**2 + 20*j**2.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79642469 to the nearest integer?\nAnswer: 8924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1)*(3*z + 6*z - 5*z)*(1 + 1 - 5).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2786\/389 at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.2 + 7.26. Let d = -0.6 + 0.4. What is the closest to 1 in d, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:01 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1011111110110101110 (base 2) to base 6\nAnswer: 12225410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 538?\nAnswer: 3766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + (-9)\/(-6))*24. Suppose b*u = -11*u + 20*u. Solve -2*t - 5*t - 7 = u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(480)\/(sqrt(30)\/sqrt(3))*6 - (sqrt(96) - sqrt(96)*2 - sqrt(96))\/(sqrt(512) - -2*sqrt(512))).\nAnswer: 725*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*f - 16 = 123*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7305917, 14611824, 21917731, 29223638, 36529545, 43835452?\nAnswer: 51141359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2888 divided by 4\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/315 and -4\/315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 4*c - 4. Let p(g) = 16*g**3 - 7*g**3 + 6*g**2 - g**3 - 9*g**3 - 4*g. What is the remainder when s(4) is divided by p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -1\/2*u**2 + 8*u + 1\/12*u**4 + 0 + 0*u**3. Factor r(i).\nAnswer: (i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3*o**2 + 524*b**3*o + 6*b**3 + b**2*o**2 - b**2*o + 169*b**2 - 6795324*o**2 wrt o.\nAnswer: -6*b**3 + 2*b**2 - 13590648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 13875302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**2 + 1316*a + 208. Let l(n) = -2*n**2 + 659*n + 96. Calculate -6*h(b) + 13*l(b).\nAnswer: -2*b**2 + 671*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 624\/88)*((-64)\/(-30) + 110\/(-825))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 45 - k + 12 - 53 + (2*k - 1 + 1)*(7*k - k + 0*k).\nAnswer: 11*k**2 - k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -114*f + 7. Let y be h(-3). Let m = y - 86. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39989 + -27467. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.036485.\nAnswer: 0.14594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -46 + i + 86 - 6*i. What are the prime factors of k(-13)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5521, 4\/7, 1 in decreasing order.\nAnswer: 5521, 1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 928 divided by -207?\nAnswer: -928\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85563.\nAnswer: 3, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 - 1. Let q be d(1). Let w(f) = -2*f**3 - 9*f**2 + 9*f**2 + 3*f**3 - 10*f**2 + 14*f + 18. Let x be w(8). Solve q*r = -x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1525107*d**3 - 391943943*d**2 + 2198880*d - 3084.\nAnswer: -3*(d + 257)*(713*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - -376. Suppose 5*p + 5*w - j = 0, 2*p + p + w = 267. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4887500 to the nearest 100000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*-6*37\/((-18648)\/96).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129602 and 191862.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = 22*p + 117 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35 + (28886\/(-66))\/13. Determine b, given that q*b**2 - 2\/9*b**3 + 8\/9 - 2*b = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (529\/92 + -7)\/(20\/(-64)). Solve 0 = -22*l + 27*l - 2*s - 25, -k*l + 17 = -s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c**2 + 3*c - 2. Let b(g) = -13*g**2 - 7*g + 5. Let s(r) = 4*b(r) + 9*v(r). Give s(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6574091?\nAnswer: 269, 24439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1163 = 20*z - 277. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45844517 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32544 and 19800?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2317, -2336, -2355, -2374, -2393, -2412?\n\"Answer: -19*z - 2298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 + 140*o - 18*o**5 - 140*o - 1 + 1 + o**5 + (-6*o**4 - 5*o**2 + 5*o**2)*(2*o + o - 4*o) + (-o + o - 2*o)*(2*o**4 - 4*o**4 + 3*o**4).\nAnswer: -13*o**5 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -13*j**3 + 7. Let g(z) = -62*z**3 - 2 + 173*z**3 - 107*z**3. Suppose -d - 7 - 7 = 0. What is d*g(h) - 4*k(h)?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 12. Suppose -h - 2 = j. Let s be (h\/(-42))\/(2\/7). Which is the smallest value? (a) s (b) 0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - n = -109, 3*u - 79 = -3*n - n. Let k be u\/4 - 4\/(-8). Is k at most as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28146 and 1362.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -1912 (c) 69\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -0.1, -612, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6 - 15 + 3 - r**2 - 15*r. Calculate the remainder when 21 is divided by v(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*t = -3*q - 40, -q - 4*t = 14. Let g = q - -13. Suppose 2*f + 40 = g*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241 + 202?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4d668 (base 15) to base 13.\nAnswer: -88a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 divided by 103?\nAnswer: 121\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-160))\/((-9)\/12). Let r = -131\/660 + c. What is the third smallest value in -1, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrjrrrrwrrpqwrr. What is prob of sequence jp?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 15 = 6*h. Suppose 0 = o + 3*n + n + 8, -12 = h*n. What is the lowest common multiple of 32 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 2*c**2 + c - 1. Let u be o(2). Let g(s) = s**2. Let r(a) = 2*a**2 - 2*a**2 + a**2. Let v = 7 + -9. What is u*g(p) + v*r(p)?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 167*f + 3. Is 32 a factor of u(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*d**2 + 36*d**2 - 130*d**2.\nAnswer: -169*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + d - 5 + d + 0*d + 2*d - 1 + (-4 - 3 + 4)*(4*d + d - 2*d) to v*d + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 284 + -157. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1126, -3434, -9696, -21892, -42002?\nAnswer: -72006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*z - 24*z - 249. Sort -71, -4, -9, z, 0 in decreasing order.\nAnswer: 0, z, -4, -9, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*m - 312 = -23*m + 66*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 104, 0.2, -6, -0.02, 1, 0.4, -4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*c**4*g**2 - c**3*g**2 - c*g**2 - 440*g**2 wrt c?\nAnswer: 996*c**2*g**2 - 6*c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-40)\/100)\/((-81)\/(-30)))\/((-6)\/(-9)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3.47, 7, 12, -0.02, 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 - 60 = -3*v. Suppose -2*g - 5 = -n - v, -4*g + 5*n = -82. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000344 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**4\/24 + 7*w**3\/3 + 24*w**2. Suppose 9*g - 58 = 11*g. Let c = g + 37. Give h(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p - 3. Let x(l) = 8*l + 7. Let k(h) = 9*t(h) + 4*x(h). What is k(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4487158389?\nAnswer: 3, 7, 19, 23, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*v - 22, -3*k + 17 = 2*k - 2*v. Suppose a = -5*g - 25, 10*g = k*g - 3*a - 25. What is the smallest value in 2, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1174 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 2*b + 1. Let n be v(2). Suppose -4 = -2*j + 2. Suppose -j + n = -u. Let t(i) = 7*i - 2. Let p(k) = -3*k + 1. Determine u*t(x) + 5*p(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3 - 7. Suppose 3*f + 19 = n, 5*f + h = -6*n + n. Solve 0 = m - 4*a - 15, n*m - 1 = 5*a + 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 54, -5, -1, -105 in increasing order.\nAnswer: -105, -5, -1, 42, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37115.\nAnswer: 5, 13, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74942, -74944, -74946, -74948, -74950, -74952?\nAnswer: -74954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*f + m, -f + 25 - 7 = -2*m. Suppose -f + 31 = b. Suppose 3*i - b = 2*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 82\/(-88) - 9\/(-12). Let z = -14 - -27\/2. Let i = -3908 + 3904. What is the fourth biggest value in z, r, -14, i?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 20. Let n be 3749997\/(-4)*8\/s. Suppose -w - 2*b = n, 3*b + 785710 + 9214287 = -4*w. What is w rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 244 and 488?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmasyamy. What is prob of picking 1 m and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + h = 3*h - 754, 3*l = h + 766. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + n = 6*n + 14506, -9103 = -5*c - 3*n. Calculate the greatest common factor of 69 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 10*x**2 - 10*x - 13. Let a be w(-9). Let i be (-1 + -1)\/(a\/6). Solve 0 = l + i*l + 2*p + 6, -4*p = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 1)*(4 - 15 + 7 - 2*a + (9*a - 3*a + 4*a)*(-10 + 2 - 2)).\nAnswer: -612*a - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 11) to base 5\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = -1. Suppose 5*w + 0 - 15 = z. Suppose 0 = 5*v - v + 4*a + 8, -22 = w*v - 5*a. What is the third biggest value in -2\/5, -5, v, 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*l + 25 = 3*l, -l + 5 = 3*v. Suppose v*a = 3*a + 2388. Let i be 6\/15 + a\/(-10). What is the greatest common divisor of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 6*q + 2*j - 21 = 0, 0*j = 5*q + 6*j + 63 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - 4*h + 389. Give g(-16).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/8)\/5*(-56016)\/2723. Factor -6\/7*m**2 - 40\/7 + 1\/7*m**3 - q*m.\nAnswer: (m - 10)*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38469372 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*d**2 + 2 - 1\/3*d.\nAnswer: -(d - 2)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32882000 rounded to the nearest 100000?\nAnswer: -32900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1\/2, -4, 0.03, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*b + 14*b + 294*b**2 + 15*b - 795*b**2 + 435*b**2.\nAnswer: -66*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twwwtzztwtxzw. Give prob of sequence zw.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19995940 + 0.107746\nAnswer: -19995939.892254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -11) + -2*(-15)\/(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 283, -2\/11, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -21. Let m be 3 + (13 - (t - -2)). Find the second derivative of l**5 - m*l + 11*l - 4*l**5 wrt l.\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 0*x + 0*x)*(-5*x**2 - 36399 - 104*x**2 + 36408).\nAnswer: -218*x**4 + 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + 4. Let d = b - 12. Suppose 4*q - 18 = 2*q + 3*c, 0 = 3*q - d*c - 22. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w + 63 = 0. Let y(d) = -33*d**3 - 9*d. Let b(g) = 8*g**3 + 2*g. Calculate w*b(v) + 5*y(v).\nAnswer: 3*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224487 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -1. Suppose -5*r - 2*m + 47 = 0, 3*r + 17 = l*r - m. Suppose -k + 3*b + r = 0, -5*k + 0*k + 4*b + 34 = 0. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 2:00 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6738.261 litres in millilitres?\nAnswer: 6738261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1390 divided by 162\nAnswer: -695\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from {v: 2, h: 1, x: 4, r: 1, s: 3, u: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118980 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2448) + -2)**2.\nAnswer: -120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 395106 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 654550 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1591 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -47*a**2 - 2*a - 2. Determine y(-1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 2*o - 21*o - 607 + 4*o + 10*o.\nAnswer: -o**2 - 5*o - 607","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001734623 to seven decimal places.\nAnswer: 0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-34)\/(-20))\/(8\/(-16)). Let d = -48649\/13035 - 1\/869. Let f = h - d. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-15) + (-44)\/(-10). Let d be (-26)\/(-6) + z\/6. Let t = 7 - d. Let s(w) = w**3 - w**2 - 2*w + 3. Calculate s(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4. Suppose l - 4*b + 4 = -7, -31 = -3*l - f*b. Determine s so that -5*s**3 + 3*s**3 + 4*s**3 - 2*s**l - 2*s**4 + 2*s**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c + 1250 = 0. Let v be c\/3*(-312000)\/5. What is v rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**3\/7 - 5764*o**2\/7 + 80008*o\/7 - 136992\/7 = 0.\nAnswer: 2, 12, 1427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/5, 2\/5, -0.7, 93\/136, 1, 0.5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*t + 22 = b + 286*t, 3*t = 15*b + 60 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 2311*x**6\/40 + 341*x**4\/6 + 93*x**2 + 6. Find the second derivative of z(h) wrt h.\nAnswer: 41598*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/21*((-8)\/12)\/1\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 10 = 4*i - 2*a, 2*a - 6 = 2*i. Suppose -17*k = i*k - 76. Is 4 a factor of (k\/(-10) - 3016\/(-40)) + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (26\/10 - (-6)\/(-10)). Solve -3*j = c - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 38. Suppose -6*s - 17 = 1. Let h be 5\/s*10\/75. Which is the biggest value? (a) h (b) m (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -12*l**3 - 18*l**3 + l**2 - 8*l**3 + 40*l**3. Calculate j(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*c - 34*c = 56. Let o(z) be the first derivative of -3*z + 0*z**3 + 9 - 5\/2*z**4 + 0*z**c. Differentiate o(x) wrt x.\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3400 - -3399.7. Which is the nearest to -2\/5? (a) 4 (b) l (c) 16\/3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161046 (base 9) to base 15\nAnswer: -1e5c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848 - 1156 = -119*w + 1239 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2474*y + 9646*y + 19812*y to h + p*y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -146134, -292268, -438402?\n\"Answer: -146134*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 506976 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*f - 6, -4*b = -2*b - f - 3. Suppose b = -2*d + 8809602 + 14390398. Round d to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x - 7. Let y(o) = -o + 1. Let g(l) = 3*j(l) + 21*y(l). Let i(t) be the second derivative of -t**4\/12 - 2*t. Give i(g(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -26. Let b(t) = -t**3 - 10*t**2 + 10*t - 6. Let l be b(r). Let u(a) = 3*a**3 - 6*a**2 - a - 9. Is 22 a factor of u(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 2664?\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e738 (base 15) in base 11?\nAnswer: -a2880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**5 + 120*k**4 - 150*k**3 - 640*k**2 - 375*k = 0.\nAnswer: -25, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4880532, -4880531, -4880530, -4880529, -4880528, -4880527?\n\"Answer: c - 4880533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**3 - 4*g**2 - 10*g - 7. Let q be z(-1). Solve 5*c + 5 = -q*w, -22*w + 25 = -25*w + 5*c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -7*z + 2*n - 5552, 0 = 4*n + 16. What is the third derivative of -225*s**2 - 5560*s + z*s + s**4 - 4*s**4 - 60*s**3 wrt s?\nAnswer: -72*s - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-10))\/(6\/45). What is the third derivative of 0*b**2 + 4*b**2 + 2*b**3 - s*b**2 wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 v, and 1 u when three letters picked without replacement from mayuuvq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 - -172. Let r = -277 + h. Solve 0 = -s - 3 + r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27aa (base 13) to base 4\nAnswer: -1121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 24 + ((-15)\/(-21) - 1)*(-6 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26074450 and 6250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + 4*(-2*sqrt(2057)*-5 - ((sqrt(2057) - -4*sqrt(2057)) + 5))**2*-3.\nAnswer: -617392 + 6600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(1568) + sqrt(32) - sqrt(20)\/(sqrt(10)*2))).\nAnswer: -63*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 11 = -4*d, -5*v + 4*d - 11 = 2*d. Let p = v - -4. Calculate the common denominator of (74\/(-80) + p)*58 and -61\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 + 2*n + 5*n**2 - 4*n**2 + 2*n**2 - 1. Let a be b(2). Solve 3 = 5*x - a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 7*s - 6 = 0. Are s and -12\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -207*g**2 + 17*g + 4. Let p(u) = 211*u**2 - 12*u - 3. Give -2*a(k) - 3*p(k).\nAnswer: -219*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*a - 104*a**2 - 9*a - 36 + 106*a**2.\nAnswer: 2*(a - 3)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7308800 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8782, 8744, 8696, 8638?\nAnswer: 8570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36398 is divided by 4526.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19\/9? (a) -3 (b) -0.5 (c) -0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/6)\/(210\/45) + -4.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:00 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(2 - 1) + 0. Let z(p) = 2*p - 8. Let b(d) = 5*d - 44. Let i(g) = -b(g) + 3*z(g). What are the prime factors of i(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.7 (b) 2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one eighths of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 4. Let z = 40 - w. Which is the closest to z? (a) 5 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*c - 6333 - 1696, 0 = 3*c + 3. Suppose 11*w - b = 1184. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 16, -i = p - 0*p + 77. Is (-8942)\/(-18) - 18\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 11. Let t be r(11). Solve 0 = 2*u + p - 5*p + 4, t = -5*u - 4*p - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 - -0.55. Let u = 366854079\/370 - 991499. Let s = -2\/185 + u. Which is the closest to 0.04? (a) z (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 31 = 2*k, 4*k - 64 = k - 2*o. What is the highest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 734665.3162 - 735878. Let n = 1991.776 + b. Let q = n + -779. Round q to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1572 - -597. Let a = r + 1628. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i**3 - i**3 + 4*i**3 + 78*i - 201*i**2 = 0.\nAnswer: 0, 2\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28435146, -56870293, -85305440?\n\"Answer: -28435147*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 4:12 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**7\/6 + 2*m**3\/3 - 5*m. Find the second derivative of s(o) wrt o.\nAnswer: 140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2557612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1682727 is divided by 17712?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 0.01?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*y + 796763 - 1788378 = 2477596. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16551405 rounded to three dps?\nAnswer: -0.166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000711469 rounded to seven decimal places?\nAnswer: -0.0000711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 14 = -2*k + k, 2*t - 22 = -3*k. Suppose 8 + t = -4*n. Let g be 50\/8*(-2)\/(-10) - (-384)\/(-512). Which is the nearest to n? (a) 1 (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 61*i + 4. Let m(y) = -122*y - 7. Calculate 5*a(t) + 3*m(t).\nAnswer: -61*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1714399.3 to the nearest 1000.\nAnswer: -1714000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 11. Suppose 0 = -3*y + 6, -4*y + r = 2*x - 7. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-1\/4))\/t)**(3\/23)*(t*t**0)**18)\/((t\/t**(2\/3))\/t*(t*(t*t**(-2\/9))\/t*t)\/t)**29 assuming t is positive.\nAnswer: t**(12263\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*a**2 + a - 2*a - 50*a**2 to c*a + h*a**2 + q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 184063151 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3673 + 3673.2. Let n = 41.2 - 38. Let l = -0.8 - n. What is the second smallest value in w, l, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.7, 3939\/2, -3, -4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**3 - 8756366*i**2 + 35025443*i + 43781810 = 0.\nAnswer: -1, 5, 8756362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + -1 + 22 - 12. Solve -3*l - 22 = 4*q, -2*l - l - s*q - 18 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20410 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: 3675870 divided by 282\nAnswer: 13035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -0.2, -2, -5 in increasing order.\nAnswer: -5, -3, -2, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348, -810, -1284, -1776, -2292, -2838?\nAnswer: -3420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13079 and 53669?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43638 and 43302?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2395 and 55564?\nAnswer: 277820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12 = -2*s + 2, 0 = -4*p. Let a = 0 - -2. Suppose -9 = -a*l + 17. What is the remainder when l is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3620\/576741 or 1?\nAnswer: 3620\/576741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -84 (b) 64\/25 (c) 2\/11 (d) 2\/9 (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (0 - -6) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 3, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -932 divided by 1291?\nAnswer: -932\/1291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -85508 times -1620.1?\nAnswer: 138531510.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u + 6. Let x(d) = -5*d - 11. Determine 4*x(t) + 7*y(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-333)\/74)\/((-3)\/22). Calculate the greatest common factor of 121 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70808320 by 4425520.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**3 + 10*n + 3. Let s(h) = -14*h**3 + h**2 + 30*h + 8. Calculate 3*s(v) - 8*w(v).\nAnswer: -2*v**3 + 3*v**2 + 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - 63) + 19 + 4 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 25 (b) 0.4 (c) -2 (d) 2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -9, -1\/2, -2, -276?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (1 + -2)) + (-1228)\/20. Let u = 60 + b. Let v(y) = -y**3 - 4*y**2 + 6*y + 5. Let z be v(-5). Is z at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128716527?\nAnswer: 3, 61, 347, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6588, 12030, 17472?\nAnswer: 22914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.185089*0.4\nAnswer: -0.0740356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21796152 and 0.04?\nAnswer: 871846.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) 7 (c) 2775\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1218365 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1\/2, -6, 0.031?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = x + 79, 0 = 4*d - 3*d - 3*x - 32. Suppose 3*m = 2*p + 113, -2*m = 2*p - 0*p - 92. What is the greatest common divisor of m and d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1 - -204)*(-2032)\/889. Calculate the highest common divisor of 128 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2231 divided by -2527\nAnswer: 2231\/2527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*r - 63*r - 1000. Let j(i) = -i**2 - 7*i. Let z be j(-7). Let w(x) = -x**3 - 5*x**2 - 4*x + 5. Let n be w(-4). Solve -r = n*l - z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 1:07 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106776361?\nAnswer: 106776361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 21 = 5*p, -3 - 1 = f. Let o(m) = 4*m**3 + 2*m**2 - m. Let n be o(p). Solve 2*j + 3*h = 6, -h + n = 5*j + 4*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 9*m = 6*m + 1, 2*m = 2*x - 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 827572213?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggw when three letters picked without replacement from {h: 2, g: 7, w: 3}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537929649.\nAnswer: 3, 2393, 24977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - 40) + 84 + -17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389 less than -14049.36405?\nAnswer: -16438.36405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 599083 in 2, -4, -7, 4, -0.5, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 13*y**5\/60 - 5*y**4\/12 + y**3\/2 + 6*y**2. What is the units digit of k(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 10*m**2 - 7*m - 93. What is the tens digit of w(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13451.\nAnswer: 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/470 and -81\/13160.\nAnswer: 13160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93\/2 + -47. Which is the nearest to 2\/9? (a) l (b) 0.2 (c) -11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1026077 (base 8) to base 3.\nAnswer: 111220010120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -43, 6\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 490*k - 140*k - 44*k + 2 to the form n*k + d and give n.\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*r - 5101 + 5101.\nAnswer: -142*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - (3 - -11)) + -13 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 + 138*o**6 - 2 + 1 - 185*o**6 + 8*o**2 wrt o.\nAnswer: -5640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 9:50 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**3\/2 - 51*c**2 + 453*c\/2 - 261 = 0.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-8)*-173 - (-1)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1.73, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*f + 40, f = -5*w + 6 - 14. Let h be 30\/8 - 9\/f. Suppose -4*j = -h*v - 10, -v + 5*j = 2*j + 10. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a + 4 = 0. Let k(g) = -g - 1. Let n be k(-4). Let q be a\/(-3) - 2\/n. Put q, 4, 1 in descending order.\nAnswer: 4, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 + -7)\/2*6. Suppose -5*i + 4*g + 245 = 0, 9*i - h*i - 144 = 3*g. What is the remainder when 203 is divided by i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 3*n - 20 + 37.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 319140 and 405?\nAnswer: 319140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -395, -445, -535, -671, -859, -1105, -1415?\n\"Answer: -i**3 - 14*i**2 - i - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 + 3 - 412*i**3 + 20*i + 413*i**3 - i**2. Let y(t) = 8*t**3 + 28*t**2 + 180*t + 26. Let s(x) = -52*v(x) + 6*y(x). Factor s(c).\nAnswer: -4*c*(c - 5)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkpp when four letters picked without replacement from {p: 7, k: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 33 = 12. Suppose -5*o - 2*n = -20, 2*n = -1 - 9. Let m be o\/l + (-1)\/(-3). Sort 2, m, 3.\nAnswer: m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 774563?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 - 7*a. Let o(s) = s**2 + 2*s. Let r(q) = -6*h(q) - 21*o(q). Let p(y) be the first derivative of 13 + 1\/2*y**2 + 0*y. Give p(r(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -55920?\nAnswer: 55922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 g when three letters picked without replacement from yvgyyqq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 30*z + 189. Let b be d(-22). Solve 4*j + 28 = 4*n, -3*j - 10 - b = -4*n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 22.38988 millilitres?\nAnswer: 0.02238988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 9. Let j(a) = a**2 + 4. Let u(r) = 9*j(r) + 4*t(r). Let y(n) = -n - 2. Let i be y(-8). Let o(p) = -p + 4*p - i*p + 4*p. Calculate o(u(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-302)\/(-16) + -9*(8 + -6))*36\/14.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -8.5. Put 2\/9, -4, v in decreasing order.\nAnswer: v, 2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooc when three letters picked without replacement from {o: 4, l: 2, g: 1, c: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 5:59 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 9:27 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by -3.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 1:01 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1127*s + 4992*s + 4141*s + 3568*s in the form o*s + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2 + 49425666*x - 49425668 = 0.\nAnswer: -24712834, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1869, 3744, 5623, 7506, 9393, 11284?\nAnswer: 13179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29, 26, 23, 20?\n\"Answer: -3*v + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/3 - ((-10)\/(-6) + -1). Let k(n) = x + 18*n - 11*n - 11*n - n**2. Determine k(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.2463576035 + 81.\nAnswer: 72.7536423965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3*(-63)\/14. Put 1\/2, w, -5\/3 in decreasing order.\nAnswer: 1\/2, -5\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165983.\nAnswer: 165983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 3 = -6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1147, -2288, -3407, -4492, -5531, -6512, -7423?\n\"Answer: 2*z**3 - z**2 - 1152*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720180?\nAnswer: 2, 3, 5, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -637997.661 times 0.1\nAnswer: -63799.7661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -1\/2*u**2 - 2*u - 2. What is the derivative of h(b) wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 3, -2, -1\/4, 581, 19.\nAnswer: -2, -1\/4, 0.09, 3, 19, 581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23386960 rounded to the nearest 100000?\nAnswer: 23400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + sqrt(95)*1*-1)*3)\/(3*sqrt(40)\/(sqrt(8) + sqrt(32)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 - -0.51. Let j = -149 + 99. Let f = -50.5 - j. Which is the second smallest value? (a) v (b) f (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-18))\/((-1)\/2) + (-28800)\/(-216). Solve -17*s + q - 167 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 86124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -15*x + 198. Give z(17).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -662 (base 9) in base 7?\nAnswer: -1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2145 and 780?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 9\/3 + (-195)\/(-39). What is the nearest to q in 5, 9, -5, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 312 and 304 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-4 + p - 4 - 2).\nAnswer: -2*p + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.734 - 2.7343757. Round l to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (67 + 196*x - 99*x - 99*x)*(9*x**3 + 21*x**3 + 11*x**3) as y*x**4 + k*x + t*x**2 + m + r*x**3 and give y.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/56 - 5\/(-40)*2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*s**2 + 14 - 14 + 29*s**2 + 2*s - 20*s**3 to the form r*s**3 + m*s + p + g*s**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11517325 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: Simplify 2 + ((sqrt(11) + -1 - sqrt(11)) + 1)*3 - ((sqrt(11) + 1)*1 + ((sqrt(77) + sqrt(77)*2)\/sqrt(7) - sqrt(11) - sqrt(11))).\nAnswer: -2*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iixtxitbtix. What is prob of picking 2 i and 1 b?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 (base 11) in base 8?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 498 = -3*m, -4*x + 7*m = 10*m + 657. Let s be 1\/1 - 0 - x\/11. Calculate the greatest common divisor of 80 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 2701545?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/(-6)*(-42)\/(-35). Solve h + c = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 + 8644*n + 1. Let x(b) = -b**2. Give f(x(l)).\nAnswer: 3*l**4 - 8644*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*5*(sqrt(5472) + sqrt(5472) + 2*sqrt(5472) - sqrt(5472)))\/((sqrt(4)\/sqrt(8) + sqrt(8)\/sqrt(4)*2)*5))**2.\nAnswer: 98496\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2413?\nAnswer: 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(130)*-5 + sqrt(130) - sqrt(130)))\/(sqrt(490) + 3*(sqrt(490)*3 + sqrt(490))).\nAnswer: -10*sqrt(13)\/91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 + (-1)\/8*14. Let o be (-3)\/y*(-31 - -33). Let q(u) = u**2 - u + 5. Let v be q(0). Solve -o = -g, v*k = 4*g - 29 + 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.61? (a) 3 (b) 11 (c) 2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/1260 and 1\/259.\nAnswer: 46620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 w when three letters picked without replacement from {w: 13, v: 3}?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/133*2 + 2\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290779*a + a**2 + 5*a**3 + 978 + 290780*a + 1074.\nAnswer: 5*a**3 + a**2 + a + 2052","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + y)*(-4*y + y + y) - 3 + 3 + y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*i - 17*i - 14*i + 18*i)*(-30 + 185 - 53) in the form y + g*i and give g.\nAnswer: -2958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 19*q**2 + 1092*q - 20. What is the remainder when m(-44) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.283 millilitres in litres?\nAnswer: 0.051283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41690, -41653, -41592, -41507?\nAnswer: -41398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 4*s**2 - 2*s - 5. Let k be c(-4). Suppose r = -k*r + 4. Sort 3, -5, r in descending order.\nAnswer: 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -616464, -1232979, -1849494, -2466009, -3082524, -3699039?\n\"Answer: -616515*t + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12091298455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {o: 2, g: 2, x: 2, r: 1, y: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004722506 rounded to 4 dps?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*w - 688 = -46*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*c**2 - 12*c**2 - 9*c**2 + 24*c**2 + 35*c to x + l*c**2 + r*c and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11142416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5760 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1852246.\nAnswer: 2, 11, 59, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 27*h**2 - 89*h + 30. Let i be k(-30). Let s(n) = 3*n - 2*n + 38 - 2*n. Is s(i) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 898*f*q**2*u*x - f*q**2*u + 11*f*q*x - 3121*f*u**2 - f + 3*q**2*u**2*x + 2*q**2*u*x wrt u.\nAnswer: -6242*f + 6*q**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*b - 7338 = 0, -z - 5*b + 252 = -1210. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 22120202122?\nAnswer: 22120202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 = -12. Let p = -22 + u. Let w = -8 - p. Solve 0 = -w*x - 4*b + 19, 0 = -2*b + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 + 19 = -5*o - 2*k, -4*k + 12 = 0. What is the least common multiple of 9 and o?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159 - -263. Suppose -4*k + 112 = -b. Suppose 4*t + 2*r = 60, 3*r + 35 - 13 = 2*t. Calculate the remainder when k is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 14*p - 18 = 0. Suppose -45*d + 140 = -40. Solve -p*a = -d*h + 11, 4*a + 3*h - 4 = -h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 912, 1016, 1130, 1254, 1388, 1532, 1686?\n\"Answer: 5*t**2 + 89*t + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-992)\/124 + (-1)\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34749\/2858 = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)\/(sqrt(8)*-2)*-6)\/(2*(sqrt(8) - (-1*sqrt(800) - sqrt(800) - sqrt(800) - sqrt(800)))).\nAnswer: 3*sqrt(7)\/82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30030 by -182.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*t - 30. Let a = -1 - -7. Suppose -a = -2*m + y, -16 = -2*m + 3*y - 6. Calculate the least common multiple of t and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from wwwwwbbwuw?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w**2 + 250*w - 597. Let t(r) = -3*r**2 - 83*r + 200. Let n(b) = -4*q(b) - 11*t(b). Differentiate n(i) with respect to i.\nAnswer: 2*i - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/18 + 0 + 1096\/72 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*m**2 - 33*m + 33*m - m**3.\nAnswer: -m**3 - 89*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 1, l: 1, f: 1, w: 1}. Give prob of picking 1 w, 1 f, and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q. Let k be ((-1)\/3)\/((-8)\/(-120)) + 1. Let z(f) = -2*f. Let d(h) = k*a(h) + 7*z(h). Let p(b) = 3*b**2 - 4*b**2 + 20*b**2. Determine p(d(v)).\nAnswer: 76*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 + 3*d - 3*d - 3*d**2 + d**2 + 4*d**2 - 4*d**2 + 4*d**2 - 2*d**2 + (5 + 0 - 4)*(-d**2 - d**2 + 0*d**2) - d**2 - 2 + 2 + 3*d**2 + 7*d**2 - 5*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(468))\/(sqrt(288)\/sqrt(8)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 949*q + 5938 = -705 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.9, 12\/11, 4, 1\/6, 5 in decreasing order.\nAnswer: 5, 4, 12\/11, 1\/6, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2764 + 6 + (6 - 17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -1001.\nAnswer: -1000.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1621 - -1608.235. Let t = 0.855 - d. Let l = 13 - t. Round l to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2. Let w be (0\/1)\/((-4)\/(-4)). Let l(m) = 5*m**2 + w*m**2 - 6*m**2. Let p(q) = -q**3 - 7*q**2 - 6*q + 8. Let j be p(-6). Give j*l(k) - 3*f(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 + 20*p - 38. Let r be u(2). Solve -2*t - r*s + 20*s = -12, 4*s = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-16))\/((-6)\/20). Suppose 2*o - x - 9 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o - 15. Suppose -2*q = -b + 3*q - 21, -4*b - 18 = 2*q. Let u be i(b). Let l(r) = r**2 - r. Let p be l(3). Put p, 0, u in increasing order.\nAnswer: u, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182*u**6 - 50*u**2 - 3*u**5 - 121*u**2 - 578*u + 572*u wrt u.\nAnswer: -21840*u**3 - 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 242836 by -22076.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 8*x**2 + 9*x + 13. What is the units digit of n(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*w**3 + 9*w**3 - 18*w**2 + w**2 + (4*w**2 + 2*w**2 - 5*w**2)*(-1 + 1 - w) - w - 2*w**3 + w.\nAnswer: -8*w**3 - 17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) - 44\/16. Suppose 3*b = 11*b - 288. What is the remainder when b is divided by (-10)\/4*(r - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000022559388 to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 11:07 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4164211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:44 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12427853, -12427856, -12427861, -12427868?\n\"Answer: -x**2 - 12427852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -334*c**3\/5 + 3678*c**2\/5 - 6056*c\/5 + 72\/5 = 0.\nAnswer: 2\/167, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-2)\/(-20))\/(1158414\/(-20910))\nAnswer: -2\/277","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2130*g - 2129*g = -2, 3*x + 38 = -5*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2812.2403 to 0 dps.\nAnswer: 2812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1033984 and 13294080.\nAnswer: 93058560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 0*a**3 - 1\/9*a**6 + 241 + 0*a + 0*a**2 - 5\/3*a**4 + 14\/15*a**5. Solve z(m) = 0 for m.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3033841920.\nAnswer: 2, 3, 5, 790063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26224554143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3399*l**3 - 7*l - 3*l + 3306*l**3 - 6824*l**3 + 10*l.\nAnswer: -119*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -b, -4*b + 1 = -3*r + 15. Solve 0 = 3*i - 3*z + 3, -z + r*z = -2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11, 28, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -799218 rounded to the nearest ten thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 19. Let k(o) = -365*o + 3648. Let s be k(10). Let f(a) = a + 10. Determine s*p(t) + 5*f(t).\nAnswer: t + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**2\/2 + 17*c + 2. Let f be w(14). Solve 2*n - 3*q - 8 = -25, f*n - 2*q + 13 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 4214952.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/231 + 235\/462. Let f = 0 + 0.1. Which is the nearest to f? (a) j (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*p + 426 = -1588, 3*s + 5*p = 5972. Does 201 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26 + 2 - 28 - 1023*g + (-3*g - g + g)*(-1 - 4 + 3).\nAnswer: -1017*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10*r = 19*r + 24, -x + 4*r = 7. Put x, -2, 2\/17 in increasing order.\nAnswer: x, -2, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 + -122. Solve l - 5 = -w, q*w - l - 7 = 4*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2031*n + 40277 + 39314 + 7482 = -14477 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 113 and 2610911?\nAnswer: 295032943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*o + 2*r + 56, -22 = 2*o + 2*r for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -4\/19 (b) 2\/9 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 13. Solve 0 = v + 5, 3*a + i = -2*a - v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -5, -1\/5, 3.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-495))\/(319\/(-1595)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 67\/5 of a centimeter?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g + 4*j = -23*g - 36, 3*g - 39*j = -52*j - 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 42610*b - 90780605.\nAnswer: -5*(b - 4261)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/1 + (-1)\/(-1). Let v be (4\/(-25))\/((-7)\/(175\/10)). Is m greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1480, 5, -9, 2, -244 in decreasing order.\nAnswer: 5, 2, -9, -244, -1480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 543 and 333?\nAnswer: 60273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 38, 43, 50?\n\"Answer: u**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-205)\/(-82))\/(1 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -13, -15, -15, -13, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 + (0 + 30\/4)*(-1392)\/(-261) and 287.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p**2 + 2*p + 3. Let x be i(0). Suppose -x*w = -2*w - 155. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619\/43 > 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, -2\/75043 in ascending order.\nAnswer: -2\/75043, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47692461.\nAnswer: 3, 43, 369709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -994 - 1102 = 16*c. Let p = 135 + c. Solve p*s - 2*s + 4 = j, 0 = j + 2*s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a centimeter in micrometers?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 38*t**2 - 364*t + 57. Calculate f(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 23*x**2 - 9*x - 11. Let b(p) = -11*p**2 + 4*p + 5. Let g(j) = 13*b(j) + 6*d(j). Calculate g(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 16. Let q be v(17). Let a be (-15)\/(-90) - 28\/(-16). Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l - 28 = 0. Let v be (-2)\/(-4)*(-3 - l). Let d be ((-2)\/1)\/(v + -14). Which is the closest to 0.1? (a) -0.3 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 72, -4, 0, 5918 in ascending order.\nAnswer: -5, -4, 0, 72, 5918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 14 = -g. Let a(w) = w**2 - 16*w + 28. Let i be a(g). Suppose i = 10*q - 4*q - 624. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 63 = -2*u + 2*o, 4*o = -u + 11. Let w = 31 - u. Let j be (-679)\/(-21) - (w\/3 + -1). Calculate the highest common factor of j and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 16 - 17 + 3*k + 0*k as l*k + s and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 7. Let v be r(5). Suppose 4*l = -v*d + 32 - 8, d - 10 = -2*l. Factor -f + 11 + 5*f**2 + f**4 - 4*f**l - 11 - f.\nAnswer: f*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 177*s**2 - 420*s + 420. Let d be m(1). Calculate the highest common factor of d and 29559.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1315544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/273 and 56\/6189?\nAnswer: 563199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-18))**(-2\/41)\/((n\/(n**(8\/3)*n))\/n*n**(-18)*n) assuming n is positive.\nAnswer: n**(2650\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/2181 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -90\/7, -0.4, 2\/3 in ascending order.\nAnswer: -90\/7, -0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -7*y + 182. What is the second derivative of -4*p**4 - 80*p + 85*p**3 + 2*p**4 - 14*p**2 + y*p**2 wrt p?\nAnswer: -24*p**2 + 510*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 428159 and 12688.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 1102.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10786, 10734, 10642, 10504, 10314?\n\"Answer: -m**3 - 14*m**2 - 3*m + 10804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1317\/2 + -658. Sort -2, -0.2, n, -822 in ascending order.\nAnswer: -822, -2, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 6*o**2 + 5*o + 6. Calculate the remainder when n(-4) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59875 divided by 11282\nAnswer: 59875\/11282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 248036 greater than or equal to 248037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 628 = 4*t + 636, -27*t - 5*o - 71 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -3. Suppose -3*r + 12 = -3*b, 5 = 5*b - 0*b. Suppose -r*z = -24 + i. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68699 is divided by 150?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = f - 224, 4*k - 216 = -5*f + 6*f. What is the remainder when 57 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 12491.\nAnswer: 2\/12491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973\/(0 + 3)*1 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -2*p - 35, -14 = 3*o + 3*p + 16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -193*y**6 + y**5 + 17397*y**3 + 293790*y**2 wrt y?\nAnswer: -23160*y**3 + 60*y**2 + 104382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**2. Let n(h) be the second derivative of h**6\/90 - h**3 + 6*h. Let i(y) be the second derivative of n(y). Determine i(x(b)).\nAnswer: 144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 14*q = 60. What is the common denominator of (-1212)\/351*q\/(-16) and -139\/78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 3, o: 5}. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 - 2\/3. Let x be (-2 - k) + 0 - 0. Let j(y) = 8*y**2 + y. Determine j(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.158 + -205.158. Let i = 122 + d. Let m = -83.7 - i. Round m to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -27 + 0*z - 1\/3*z**3 + 0*z**2. Let r(n) = -73*n. Determine s(r(j)).\nAnswer: -5329*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 37, 117, 271, 523?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5234 is divided by 348?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-2)\/8 - (-153)\/12. Solve 5*t + 12 + i = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 58\/3*6\/4. Suppose -4*o - 5 + y = 0. Suppose 4*h = 2*d - 12 - o, 4*d + 5*h = 88. Solve 5*x - d - 3 = -2*w, -x = -w + 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19\/38 - (-6)\/(-42)*(-21)\/(-6). Let u(z) be the third derivative of 1\/3*z**3 - 1\/60*z**5 + 33*z**2 + 0 + 5\/12*z**4 + h*z. What is u(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*h - 2*i - 7657, 5*h + 4*i - 12751 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.528 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104377285 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inaaw. Give prob of sequence nww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 <= -171\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5902368 divided by 118\nAnswer: -2951184\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 40 = 2*z, -2*p + 11 - 21 = -4*z for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 464 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 807621368 a multiple of 1828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14853 - -14853.4. Which is the nearest to 0? (a) 1\/2 (b) 0.02 (c) -84 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 3*a - 5. Let k be b(-4). Let q be 0 - -2 - (k + -3). Suppose q = 3*m + 2. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/214110 and -2\/2379.\nAnswer: 214110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3987.853cm to nanometers.\nAnswer: 39878530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 14*v - 240 = 0. Calculate the highest common divisor of v and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -15 + 14 + -1 + -1. Let d be 6 + a\/(-12)*0. What is the greatest common factor of d and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-10)*(-4)\/(-18).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6683*z**3 - 2230*z**3 - 2229*z**3 - 2228*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2 - 4*z + 2*z + 3*z**3 + 2*z**3 - 6*z**3 - 2*z**2. Let d = -3 - -2. Let o = -1 + d. Calculate b(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 24*d**2 - d - 11. Let y be s(-24). Suppose -3*a = -5*a + 104. What is the greatest common factor of y and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1139*x - 20 = 1129*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 4) + 50\/14. Let x = -0.4 + 0.36. Let p = 4 + -1. What is the nearest to x in -0.3, z, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-60)\/(-21))\/((-16)\/56). Let s be 12\/x - -2*(-3005)\/(-50). Round s to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09446 - -0.04754. Which is the second biggest value? (a) -1\/3 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225304.47 + -227566. Let i = 2266.030058 + v. Let f = 4.5 - i. Round f to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 + 4*w + 3. Let j be p(-2). Let y = j - -104. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022 + -10222012002?\nAnswer: -10222002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1508*c - 51. Let y(d) = 1506*d - 44. Give -6*v(f) + 7*y(f).\nAnswer: 1494*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 4*k + 16 - 46)*(4 - k - 4)*(-5*k + k + 2*k).\nAnswer: 8*k**3 - 138*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -3. Let n = -2 + h. Let u = -27 - -31. What is the closest to -1 in u, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7062*t + 7093*t - 403 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1220, 9943, 33606, 79679, 155632, 268935?\nAnswer: 427058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-10)*15\/2. Suppose 0 = 3*m - 3 - i. Let x be 8\/12*m\/1. Solve -2*s = 2 + x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -10*a + 7. Let f(c) = -c**3 - 15*c**2 - 4*c - 65. Let g be f(-15). Let y(d) = 11*d - 8. What is g*y(b) - 6*k(b)?\nAnswer: 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 605, 1177, 1751, 2327, 2905?\nAnswer: 3485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4813 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5556, 11078, 16600, 22122?\nAnswer: 27644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**2. Let w(c) = c + 18. Let d be w(-16). Let v(b) = -b + 0*b + 2*b - d*b. Give v(r(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/8)\/(3\/12). Let u = t + 5. Suppose u*l + 0 - 6 = 0. Solve 21 = 4*r - r + 3*b, 2*r + 11 = l*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163 - -169. Let j(b) = -2*b**2 + 7*b. What is j(x)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 19*d**2 - 33*d + 22*d**2 - 17*d**2. Let t = -1642 - -1675. Let u(w) = 3*w**2 - 4*w. Let s(g) = t*u(g) - 4*o(g). Let n(m) = -3*m. What is s(n(v))?\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/7)\/((-685)\/(-118546785)).\nAnswer: 2, 3, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*h - 2*t, -t - 4 + 13 = 4*h. Suppose 0 = -h*o - 3*b - 5 + 23, -4*b - 18 = -3*o. What is the highest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139940 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w - 12. Suppose 3*d - w = 2*d. Calculate the least common multiple of 1 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 435 in -3, -0.2, -8\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*m = 22, 13 = 5*q + 5*m - 12. Is 7 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 179881\/(-1270984) + (-16)\/(-968).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73*h + 107 + 12*h + 15*h wrt h.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*a - 113 = -125, -3*a = 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*b = -68, -5*b + 106 = 3*n + 26. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = 52*i - 3*i + 69. Let b(a) = 13*a**2 - 2*a - 1. Calculate b(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 313, 470, 627, 784, 941?\nAnswer: 1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - 1*(-2 + 23). Which is smaller: 0.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 262 = -240. Solve 5*m = -l*w - 20, -3*m + 5*m - 11 = 3*w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 15) to base 12\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 52008.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18441121.999837 + 18441146. Let w = -24 + f. Round w to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 419 (b) -0.3 (c) -2 (d) 5 (e) 2\/3 (f) 14.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -93.1 times -19.604\nAnswer: 1825.1324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1003, -7837, -26385, -62503, -122047?\nAnswer: -210873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 2*f. Suppose 0 = -3*x + 12*x - 18. Suppose -2 + 10 = 2*q + j, -4*j - 33 = -5*q. Sort x, f, q in decreasing order.\nAnswer: q, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bae84 (base 16) to base 2.\nAnswer: -1010111010111010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 67. What is the closest to j in 2\/3, -0.03, 1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 + 7.2. Let x = -9.3 + n. What is the second smallest value in -0.1, 5, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7*t + 18632 = 3*s, t + 3*s - 9313 = 0. What are the prime factors of t?\nAnswer: 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 329379180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 81794 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1710 and 11115.\nAnswer: 22230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98133552 by -991248.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 242482133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 3. Let x be q(-6). Suppose o + 2*y - 25 = -2*y, -3*y + 30 = x*o. Suppose 0 = -6*p + o*p + 1. Solve j = -0*j + p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 12:03 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*7\/14 - 6\/(-2). Put o, -0.3, -0.1, 1\/3 in descending order.\nAnswer: 1\/3, -0.1, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {z: 3, c: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37 and 6512.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*w**4 + 5327*w**3 + 7*w**2 + 615508*w wrt w?\nAnswer: -60*w**2 + 31962*w + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = d - 3*d - 4, 0 = -2*c - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*s + 35, 0 = -5*s + 2*s + 15. Suppose -k - 1053516 = -q*k. Suppose 4*m + 44828 = -k. What is m rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22133587 is divided by 269?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*c + 4)*(-3*c**3 + 2*c**3 + 2*c**3 + (5*c**2 - 2*c**2 - 4*c**2)*(3*c - 6*c - 2*c)).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8*r = 3*d - 1460, 0 = 2*d + r - 955. Let v be (9\/(-6))\/(9\/d). Round v to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 518022.30907 - -0.0329?\nAnswer: 518022.34197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(24\/13))\/(l**5\/l) assuming l is positive.\nAnswer: l**(-15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2349 is divided by 139?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43112 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 83\/204 + -259111\/636684. Let z = i - -683513\/131082. Calculate the common denominator of z and 15\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*c - 8, -72 - 16 = -5*x + 2*c. Is x <= 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 69.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 7*o = 12810. Suppose 6*n + 96 = o. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42173*l**5 - 3589*l**4 - 2*l**2 - 484868572*l?\nAnswer: -843460*l**3 - 43068*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 + -256. What is the tens digit of h\/(-6)*51\/34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1954 - 1249. Which is smaller: 704 or s?\nAnswer: 704","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + 45 = -28*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 156881809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 414 divided by -46\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-12) + (-89)\/(-33) and -33\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w**2 + 2*w)*((5 - 5 + w)*(7*w + 8*w - 6*w) + 0*w + 2*w**2 + 0*w).\nAnswer: -22*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 3. Let y be g(3). Let w be (-9)\/y + 5\/(-2). Sort 4, -3\/2, w in descending order.\nAnswer: 4, -3\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 6*(-5)\/(-3). Solve 3 = l*r - 5*r + a, 3*a = 5*r + 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32160780 divided by 18.\nAnswer: 1786710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -3. Suppose -w + 3*h + 0*h + 8 = 0, 0 = -g*w + 4*h + 32. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, b: 1, d: 4, u: 2, j: 1, a: 7}. Give prob of picking 3 a.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1700 divided by 17?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2648 (b) 0.4 (c) -0.2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 7*a**2 + 9*a - 8. Let t(b) = 6*b + 62. What is the lowest common multiple of t(-8) and v(6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11341 (base 5) to base 9\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568888 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 446 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 {h: 1, y: 18}. Give prob of picking 1 h and 3 y.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-15))\/((-27)\/(-135)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in 10, 0.3, 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 1)\/((-12)\/(-12)). Let i be -2 + -28 - 0\/m. Let o = -23 - i. Solve o = -4*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -36*w**3 + 19*w**2 - 21*w + 13. What is c(1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 43. Let d be b(0). Suppose -k + 33 = 2*y, -2*y + k = 4*k - d. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -14240*t + 1. Let k(j) = -30*j. What is 4*k(i) - v(i)?\nAnswer: 14120*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 + 0*x**4 + 3*x**4 + (-2*x**2 + 2 - 2)*(2*x**2 + 2*x**2 - 6*x**2) + 3573 - 3573 + 99*x**4.\nAnswer: 104*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 31565.79 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1271, -2, 1, -1, 288 in increasing order.\nAnswer: -1271, -4, -2, -1, 1, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 11:50 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34009 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 5*g**2 - 9*g + 45. What is a(6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46034285 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*i**2 - 4395*i + 550.\nAnswer: -5*(i + 110)*(8*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9262*g**2 - 9308*g**2 + 5*g**3 - 510*g + 18725*g**2.\nAnswer: 5*g*(g - 3)*(g + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 + 2*w + 2. Let v(d) = 61*d**2 + 23*d + 43. Let o(k) = 32*k**2 + 12*k + 23. Let t(a) = -11*o(a) + 6*v(a). Determine 11*s(h) - 4*t(h).\nAnswer: -h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -35*c - 145. Let w(r) = -194*r - 727. Give 11*m(d) - 2*w(d).\nAnswer: 3*d - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -207, -270, -369, -522, -747, -1062, -1485?\n\"Answer: -3*c**3 - 42*c - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001 times -2772?\nAnswer: -2.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7391521 or 7391548?\nAnswer: 7391521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 - 225*y**3 - 12960*y**2 - 131220*y.\nAnswer: 5*y*(y - 81)*(y + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 (base 10) in base 8?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 7*g + 8. Let k be v(-7). Let l(r) = r**2 + 2*r - 1. Let b be l(1). Let m be b*(-3 + 6) - 2. Solve k = 4*c + m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s. Let o(b) = -2*b + 2*b + b. Let q(x) = 6*o(x) + v(x). Let j(r) = -1. Let t(g) = g**2 - 5. Let c(i) = 10*j(i) - 2*t(i). Calculate c(q(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 + 11*g**2 - 4*g**2)*(-6*g + 5*g - 3*g) + (g**2 + 2 - 2)*(-g + g + 6*g).\nAnswer: -42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - cb?\nAnswer: -cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 3 + 1)*(1 + 2 - 1) - 2 - 5 + 6 - 2 + 0 + 4)*(2*f + 2*f - 3*f) to the form d*f + n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145481 and 365491?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*m - 24*m - 18*m as g + k*m and give k.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/5 + -146\/85. Put 3, -0.035, k, -0.5 in increasing order.\nAnswer: -0.5, k, -0.035, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 26*y**3\/3 + 17*y**2 - 14*y + 1. What is the units digit of l(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-78)*-2)\/(((-20664)\/378)\/82)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720\/7*y - 717\/7 - 3\/7*y**2 = 0 for y.\nAnswer: -239, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-16 + (-2 - -1)). Let p be s\/2*8\/16. Suppose 2*k - 154 = -p*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -333, -7, 3 in increasing order.\nAnswer: -333, -7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-4 - -11) + -1. Let n = -20 + i. Does -14 = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 7*p - 15. Let z(j) = -2*j**2 + 9*j + 16. What is 3*h(m) + 2*z(m)?\nAnswer: 2*m**2 - 3*m - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/255, -1\/17, -0.047?\nAnswer: -1\/255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/7 and -47*(6 + (-116)\/20) + 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 5, 4, -113163, 2 in decreasing order.\nAnswer: 5, 4, 2, 1, -6, -113163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**5 - 43692*k**4 - 2264252*k**3 - 33535956*k**2 - 106455744*k - 75140352 = 0. What is k?\nAnswer: -10871, -24, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -1\/72*k**4 + 0*k + 0 + 0*k**3 + 0*k**5 + 13*k**2 + 1\/360*k**6. What is d in z(d) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10276 is divided by ((-2)\/(-10) + (-88)\/(-60))*387\/15?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhf when three letters picked without replacement from {m: 1, h: 1, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 2*h. Let t = -30 - -33. Let o(m) = -3*m. Let f(z) = -4 + 5*z**2 - z**3 + z + 7 + z**3 + z**3. Let u be f(-5). What is t*p(x) + u*o(x)?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, 0.2, 0.06, -4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6*m**2 + 4*m**2 - 1.\nAnswer: -2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3467*r - 3467*r + 2 + 0 - 56*r**3.\nAnswer: -56*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7 + 2.05. Round h to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*p - 78 = 3*p, p = 3. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 206.3 to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1972 is divided by 686\/(-1029)*(1 + 1 + -104).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1618 and -2?\nAnswer: -0.3236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 36 + 29 = 2*j, 5*f + 37 = -4*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2982188270?\nAnswer: 2, 5, 298218827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -234 + 109. What is the biggest value in -1\/3, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*0*(-3 - -2). Which is the biggest value? (a) -42 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22131201, -22131202, -22131203, -22131204?\n\"Answer: -h - 22131200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 + 11*x**2 + 4*x - 6. Let l be p(-5). Sort 5, -2, l in increasing order.\nAnswer: -2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + 26. What are the prime factors of o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**6\/6 + 7*m**4\/12 - 2*m - 3. Let s(k) be the first derivative of w(k). Find the third derivative of s(v) wrt v.\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*q + 5*q - 5 = 0, -5*t - q + 16 = 0. Suppose 2*h + 0*r - 45 = -t*r, 0 = -2*h - 5*r + 51. Calculate the greatest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**(-27)*d*d)\/d*d))\/d**(-19\/3))\/(d**(-12))**(11\/3) assuming d is positive.\nAnswer: d**(229\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - m - 3 = -3*n, 5*m + 5 = 0. Suppose 5 = j - 0*j. Solve -n*g - 3 = j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5 - v**3 - 18 + 7 - 10*v + 2 - 14*v**2 + 3*v**2. What is n(-9)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 144*u + 140. What is t(71)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 11*y = 5*r - 280, y + 6*y - 6*y + 3*r - 166 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/30*3*(2 + -44688) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -9*q + 10*q. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-258 - 11582*z - 253 + 774 - 263)*(-1 - 1 - 1).\nAnswer: 34746*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 7*y - 4*l + 1383 = 0, 9 = -3*l. What is the smallest common multiple of y and 24?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab (base 13) to base 8.\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0)\/a)**46*a**(-16)*a**(-2\/19) assuming a is positive.\nAnswer: a**(-306\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/30*6)\/((-9)\/(-30)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 33 = 3*c + 3*g, 5*g - 41 = -3*c. Suppose v - c = -0*v + 4*r, -r = -3*v + 25. Calculate the least common multiple of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185604.\nAnswer: 2, 7, 23, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 4*l**2 - 8*l - 7. Let y(u) = 14*u - 619. Let w be y(44). Give r(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdvd when four letters picked without replacement from {s: 1, g: 1, p: 4, v: 2, d: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 - 35*u**2 + 3062 - 1022 - 2*u**4 - 1018 - 1024 in the form k*u**2 + n + p*u + y*u**3 + q*u**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 8*h + 13. Let w be s(-5). Let x be (1\/w)\/(3\/(-36)). What is the third derivative of 51*j**6 + 60*j**x - 122*j**6 + 25*j**2 wrt j?\nAnswer: -1320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3*q - 4*q - 5, 2*r + 5*q = -25. Let v(x) be the third derivative of -1\/80*x**5 - 1\/48*x**4 + r*x - 3*x**2 + 0 + 0*x**3. Factor v(i).\nAnswer: -i*(3*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**3 - p**2 - 2*p - 4. Let m(x) = -7*x**3 + 2*x**2 + 3*x + 5. Let k(o) = 6*b(o) + 5*m(o). Let a be k(-3). Solve -a = 5*q - 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -4*c - 13 - 7, 0 = -v - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -9\/8356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 15*x - 11. Let z(u) = 7*u - 5. Let p(d) = 6*b(d) - 13*z(d). Let t(m) = 10 - 10*m**2 + 10*m + 4*m**2 + 3*m**2 + 5*m**2. Calculate 12*p(f) + t(f).\nAnswer: 2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osj when three letters picked without replacement from {j: 4, o: 2, s: 3, u: 8}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1287606 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 + 1109*i**2 - 38776*i + 37. Calculate j(33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 1\/4 (c) -8\/5 (d) -0.5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3355641, 3355628, 3355615?\nAnswer: 3355602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.180535l?\nAnswer: 180.535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3 - 11 = 0. Let h be 9\/(-12)*96\/(-18). Let v = h - z. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 11.87. Let x = 65.07 + -65. Let p = x - f. Sort 0.5, 5\/4, p.\nAnswer: p, 0.5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 56. Let y = -0.01 - 0.89. Let p = -82.6 + 83. What is the biggest value in d, y, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnnvnvvnvvv. What is prob of sequence vvv?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 + 85 = 0. Let v = q + 29. Suppose 0 = -2*s + 8, 0 = 5*l + 5*s - 15 + 5. Sort v, l, 4 in ascending order.\nAnswer: l, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 + 6 - 6)*(0 - 5 + 54)*(-2 - 3 + 2).\nAnswer: 735*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/9, 0.788, -0.4.\nAnswer: -3, -0.4, 2\/9, 0.788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 15. Let v be x(-8). Suppose v = 3*f - 11. Let l be 1 - 2*(-3)\/f. Solve -4*i - l*h + 16 = 0, -i - 2 = -0*i - h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*j + 217*j - 58 = -2*r, 5*j = -2*r + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + 1 - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - sqrt(130)*1)*5 - sqrt(130) - -2*sqrt(130)*-4)\/(sqrt(10) + (sqrt(120)*4)\/sqrt(12) - sqrt(110)\/(-3*sqrt(11) - sqrt(11))))**2.\nAnswer: 1872\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 28. Let n(p) = -2*p. Calculate n(t(l)).\nAnswer: -4*l + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a second in milliseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-550)\/(-660))\/((-21)\/(-126)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(304) + -4 + -3)**2.\nAnswer: -24*sqrt(19) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + i - 3*z - 12945, -4345 = -i - 5*z. Let x be i\/(-21) + 8\/(-28). Let c be -3*(1 - x\/(-6)). What is c rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -178 - 164 + 296*q + 343 + 2*q**2 in the form j*q + m + a*q**2 and give j.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.11 (b) 0.4 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -38.05. Let w = -0.05 - d. Which is the second smallest value? (a) -0.3 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**3\/3 + 2*y**2 + 7*y - 7. Let s be (-560)\/(-90) + (-2)\/9. What is d(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12416, 12404, 12390, 12374, 12356, 12336?\nAnswer: 12314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6930?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d = -39. Suppose 7 + d = 2*o. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10 = 2*q, 3*a - q + 0*q + 11 = 0. Suppose 0 = -19*n + 31*n + 60. Sort a, n, 3.\nAnswer: n, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134 divided by -597\nAnswer: -134\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 172985 to the power of 1\/2, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32cf23 (base 16) in base 7?\nAnswer: 40205644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.6 + -0.6. Let k = -20 - -98\/5. Is k != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (72\/(-440))\/((-12)\/80). Let q = 47\/33 - d. Let a be (-1)\/(-4 + (-2)\/(-1)). What is the nearest to 2 in 1\/4, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*d + 64, -3*d + 2*j + j = -33. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h**3 - 4*h**2 + 2*h + 1. Suppose 0 = -4*i + 3*z + 11, z + 2 = i - 1. Is a(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -9, -12, -17, -24, -33, -44?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 7. Suppose 0 = g + m - 142, 3*g - 2*m + 7*m - 418 = f. Round g to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5060708 + 780.\nAnswer: 5061488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 0*a + 2*a**3)*(-37*a + 91*a - 2 + 66*a) - 3*a**4 - 3*a + 3*a in the form j*a + p*a**3 + d + q*a**4 + z*a**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/3)\/10)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -16.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2085*b**5 + b**4 - 3211*b**3 + 5*b**2 + 4694515 wrt b?\nAnswer: -125100*b**2 + 24*b - 19266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -157*m - 144*m + 12 + 342*m. Let r be ((-2)\/(-3))\/(2\/9). Let v(p) = -41*p - 12. Let u(j) = r*v(j) + 4*a(j). What is the derivative of u(w) wrt w?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - ((12 - (34 + -37)) + -6 + -1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5536766 by 9.\nAnswer: -5536766\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b + 3. Let f(x) = 53*x + 2. Let v(n) = 8*n - 2. Let m(z) = f(z) - 5*v(z). Suppose 0 = 2*l - 3*l + 9. Determine l*u(y) - 2*m(y).\nAnswer: y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwu when three letters picked without replacement from {l: 2, w: 1, u: 14}.\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243352?\nAnswer: 2, 19, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-315)\/14)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004685371 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 16 - 6 + 12 + 18. What is the units digit of h(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + (sqrt(475) - 4*(-2 + sqrt(475) + sqrt(475))))**2.\nAnswer: -70*sqrt(19) + 23276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 439.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -1.9. Let t = -1.5 + -5.5. Let m = t - -8. Sort m, z, 0 in ascending order.\nAnswer: z, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 9*j + 12. Let f(u) = 3*u - 4. What is f(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 391.3 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.41 * 6.\nAnswer: 8.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -27. Put -5, 1, g in descending order.\nAnswer: 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 16 - 16 + 0*z - z. Let r(l) = -11*l. Determine t(r(x)).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001011122 (base 3) to base 14.\nAnswer: -48c25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38775.58 millimeters to centimeters.\nAnswer: 3877.558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -827*d**3 - 2*d**2 - 10 + 12 + 635*d**3 to the form c + x*d**2 + b*d**3 + l*d and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(1584)*2 + 0.\nAnswer: 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25501 (base 6) in base 7?\nAnswer: 14143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 - 35 - 31)*(2 - 5 + 1 + 3*k**4) to the form i + c*k**2 + h*k**3 + l*k**4 + b*k and give i.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152638039 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 673.4 + -673. Let q = 619\/4 - 154. What is the third smallest value in q, -1\/2, c, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5890\/13 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 26 = 5*n, -3*w - w - 5*n = -28. Suppose -350 = -3*m + 400. Suppose m = 4*h - h + w*a, 3*h + 4*a - 260 = 0. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14, -6 in decreasing order.\nAnswer: 5, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32522145 (base 7) to base 3.\nAnswer: 12021000202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - s + 3*s)*(-28 + 80 - 208).\nAnswer: 468*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwpppwp. What is prob of sequence pp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.248 rounded to 1 dp?\nAnswer: -20.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -18. Solve j = 3*p + 10 + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**5\/20 + p**4\/3 + p**3 + 2*p - 3. Let g(d) = 2*d**3 + 9*d**2 + 13*d. Let t = -30 - -39. Determine t*s(i) - 4*g(i).\nAnswer: i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -6. Let m = t - -12. Calculate the remainder when 16 is divided by 9\/(-12)*(-1 - m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l - 4. Let w be o(8). Let f = -37 - w. Suppose 4*g + 4*m = -g + 10, 0 = 3*m + f. Solve 8*k - 3*k = 3*r - g, 2*r = 3*k + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 5*n - 2 = -a, 0 = 5*a + 3*n - 27. What is the remainder when 124 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 0 (b) 1 (c) 4\/5 (d) -1403 (e) 113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 5*g**2 - 8*g + 27. Calculate j(-8).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (sqrt(192) + 3 - sqrt(3)) - (sqrt(15)\/sqrt(5) + 4).\nAnswer: -7*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 3*o**2 - 1. Let f(m) = 764*m**3 - 2865*m**2 + 955. Calculate 955*b(y) + f(y).\nAnswer: -191*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 3192.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-120))\/(2 + (-16)\/6)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*g = 279, -5*o + 340 = 5*g + 60. Calculate the remainder when 487 is divided by o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230862 to the power of 1\/2, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 281*x + 556 = 3*k, -68*k + 2*x + 4 = -37*k - 31*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Suppose b*s - 4*s = -2*t - 1, 2*t - 2 = 0. Suppose 0 = 3*k - s*g - 3 - 36, 5*g = k - 9. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -85, -54, -23, 8, 39?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4636318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + 9 - (2 - 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {d: 7, o: 1, g: 2, p: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 5, -5, -6, -43, -4, 8 in descending order.\nAnswer: 59, 8, 5, -4, -5, -6, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.884637925 to four decimal places.\nAnswer: -0.8846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/14)\/((-50)\/350).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4\/3 (b) 4 (c) -0.6 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19 + -61.\nAnswer: -61.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (104\/32)\/13 + (-11)\/(-4). Let a(x) = -5*x + 3. Let b(q) = 5*q - 4. Let d(t) = 2*t - 2. Let y(o) = 3*b(o) - 5*d(o). Determine u*y(l) + 2*a(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o**(-1)\/o)\/o)))\/o**(-11)*o**(-12)*o**(-2\/9) assuming o is positive.\nAnswer: o**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2311995 - -2258005. What is i rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)\/sqrt(3))**2 - sqrt(11)) + 4 + -5 + ((sqrt(891) - sqrt(891)*-2)*-3 + sqrt(891) + sqrt(891))**2 + (sqrt(132)*1*3)\/(sqrt(12)*2*4).\nAnswer: -5*sqrt(11)\/8 + 43669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3999 - 0.19\nAnswer: -3999.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 5\/4*k**3 + 3\/4*k**2 + 1\/2*k.\nAnswer: -k*(k - 1)*(5*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*p**2 - 14*p - 11828 wrt p.\nAnswer: -86*p - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15573565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 332491260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 219 + 330*x + 449*x - 1278*x + 340*x with respect to x.\nAnswer: -159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 16432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, a: 4, u: 4}. Give prob of picking 1 g and 1 u.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 21*q**3 - q - 18*q**3 + 2*q - q**2 + 3*q**2. Let x(w) = -w. Calculate -b(v) - x(v).\nAnswer: -3*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 176822 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 14658 in ascending order.\nAnswer: -4, -2, 14658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109179836.\nAnswer: 2, 1033, 26423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*k + 76 = 76*k + 13 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78365*y + 216 = 78383*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = k - 5*y, 3*y + 0*y = 3*k - 18. Let t = 14 - k. Solve -q = -5*q + t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i**2. Let d(v) = -3*v + 2*v - 7*v + 8*v - 27*v**2. What is j(d(c))?\nAnswer: -5103*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-7826.\nAnswer: 15652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*g**2*h**3 + 47*g**2*h**2 - 2*g**2 + 16558*g*h**3 + 2*g*h - g + 22236 wrt h.\nAnswer: 414*g**2 + 99348*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2200505.\nAnswer: 5, 440101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*w + 11350, 0 = 5*w - 4*w + 1. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5341728?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*u**3 - 1997*u**2 - 143*u + 309 wrt u?\nAnswer: -132*u - 3994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/6)\/((-12)\/8). Let o = 13\/21 - v. Put 2\/9, -1\/27, 1\/7, o in descending order.\nAnswer: o, 2\/9, 1\/7, -1\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179076914 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -46 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21121112 - -10022?\nAnswer: 21201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1347 + 2265. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1969 is divided by 1\/(-15) + (-9728)\/(-570).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16.8? (a) -1 (b) 2\/27 (c) 250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1, 0.5, -22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1728 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 16*n**2 + 9*n - 24. What are the prime factors of i(-17)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31159580 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, -1, 188\/57, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 1\/6*h**6 - 27\/5*h**5 + 0*h + 0*h**4 + 179 + 3\/2*h**2 + 32\/3*h**3. What is the third derivative of n(f) wrt f?\nAnswer: 60*f**2 - 648*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*u = -196*u + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555353 is divided by 390.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b + 2. Let l be n(-1). Let v be 6 - (-20 - -4)\/l. Let h(q) = 1 + 2 - 3*q - 3 + 3. Determine h(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-120)*-5)\/(651\/(-279))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60.43195391 + -135.43195444. Let v = -75 - p. Round v to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 5*w + 212. What is the remainder when q(0) is divided by 55?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from dzzzddzzdd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15941.\nAnswer: 19, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3748270 is divided by 480.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 9*n - 77. Determine t(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*f + 5*g, -3*f + 4*g - 10 = -0*f. Let q = 18\/32465 + 324452\/357115. Suppose -12\/11 + q*v - 2\/11*v**f = 0. What is v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/5 + 1 + (-198)\/(-45)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16702?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -10388\/11, 4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - -1 - (3 + 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -4672?\nAnswer: -4675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17222*i - 10593.\nAnswer: 17222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (5 + 5 + -4) - 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from zekezkek?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -305 - -526. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a - 64 = 25*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 227*c**3 - 2*c**2 + c + 17. Is p(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -11 (b) 0 (c) -3\/8 (d) 2 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-28)\/210)\/((-44850)\/2375) and 41\/2990.\nAnswer: 26910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -12*p**2. Let l(k) be the second derivative of k**5\/30 + k**3\/2 - k**2 + 37*k. Let c(o) be the second derivative of l(o). Calculate c(q(v)).\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**4 + 34701*l**3*r*z + 3*l**2*r*z - 5*l*r - 218*l*z + 58*l + 6*z wrt l.\nAnswer: 24*l**2 + 208206*l*r*z + 6*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o + 10 = 8*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 9:17 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -19*j**3 + 11*j**2 + 27*j + 160. List the prime factors of v(-6).\nAnswer: 2, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 0*x**2 + x**2 + 0*x**2 + 5*x**2 - 3*x**2 + (4 - 4 - 2*x)*(2*x - 4 + 4) - x**2 - 1 + 1 + 0 - 2*x**2 + 0 + 0*x**2 + 2*x**2 - 3*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1060*i + 1048*i + 108 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-245))\/(150\/(-105))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*j - 5646 + 5646 + (1 - 2 - 1)*(0*j + j + 0*j) - j + 0 + 0.\nAnswer: 61*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q\/(((q\/(q\/((q\/q**10)\/q)*q))\/q)\/q*q)*q*q)\/q))\/q*q*q*q**(-25))**(-12) assuming q is positive.\nAnswer: q**456","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -87043.\nAnswer: 12\/87043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, j: 9, p: 1}. Give prob of picking 4 j.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -83.\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*p + 15, 5*u + 5*p - 20 = p. Suppose -i = -u*i - 3. Solve -5*c + 6 = -5*v + 16, -i*v - 6 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278377463 is divided by 92792484?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 103162 (base 9) in base 8?\nAnswer: 167675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 626503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 2:09 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-2*x + x + 2*x) + x + 0*x - 3*x + 15*x + 120 - 122 + 5*x + 1 - 1 - 5*x + x - x - 2*x.\nAnswer: 9*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k - 209 = -84*k + 44*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33347*b**3*o**4 - 4231*b**3*o + b**3 + 44*b**2*o**4 - 4*b*o**2 - 2*b wrt o.\nAnswer: 800328*b**3*o + 1056*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 + 5*l - 5. Let h(b) = -2*b**2 - 3*b + 3. Let o(x) = x**3 + 5*x**2 + 2*x + 2. Let f be o(-4). What is f*h(z) + 6*d(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*n - 13 = 0, 4386*n - 10 = -g - 0*g + 4382*n for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) - ((-1925)\/15)\/5. Suppose -17 = -x*c + 35. Solve 5*b + 4*l - 27 = 0, c = -2*b + 3*l - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/(-40))\/((-84)\/560).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/13 + 424*u**3\/13 - 2760*u**2\/13 - 2437632*u\/13.\nAnswer: -2*u*(u - 138)**2*(u + 64)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {n: 1, t: 2, x: 2, w: 1, h: 1, o: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1047 = 7*l - 10867. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5200 - 25218?\nAnswer: -2a418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -80, -412, -1102, -2252, -3964, -6340, -9482?\n\"Answer: -17*a**3 - 77*a**2 + 18*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02748 - -0.47252. Let r = -4.5 + 13.5. Which is bigger: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*w + 0 + w**2 - 2*w**3 + 13*w - 1 as n*w**3 + q*w**2 + l*w + i and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -2 - 4\/(-5 + 3). Let b be -2 + 4 + v - 7. Let x be 28\/4 + b - 0. Sort x, 8, -4.\nAnswer: -4, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17909 divided by 5?\nAnswer: -17909\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqffqqqfqfqqfqqqfq. Give prob of picking 4 f.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 20. Give f(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u + 36. Is u smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 576*t**2 - 196*t**2 - 193*t**2 + 11615*t**3 - 187*t**2 + (t**2 - 7*t**2 - t**2)*(2*t + t - 2*t) to the form d + h*t**3 + w*t**2 + c*t and give h.\nAnswer: 11608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 287*u**2. Let x(o) = o**2. Give t(x(g)).\nAnswer: 287*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -17, 4, -3, -272539 in ascending order.\nAnswer: -272539, -17, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/111880 and 67\/3636100.\nAnswer: 7272200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17 - -0.133\nAnswer: 17.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 9. Suppose 5*d + 9 = 34. Let h be m(d). Which is bigger: h or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4531, -9058, -13585?\nAnswer: -18112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5 + 0 = 3*k, 2*k + 5*f - 1 = 0. What is d in 4\/5 + 2\/5*d**k + 8\/5*d**2 + 2*d = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - d - 6. Let n(i) = -i**2 + 8*i - 7. Let p be n(6). Is a(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 3, s: 1, j: 1, i: 6, l: 3}. Give prob of sequence sj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.137 + 15.137. Let x = 14 - n. Which is the nearest to -0.1? (a) x (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.218 in 139, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g**2 - 4259*g - 25232. Calculate v(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/52 smaller than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r + 26*r - 335 = 41*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1026? (a) 0.1 (b) -4 (c) -8\/9 (d) -3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (2*3*sqrt(91) + sqrt(91)))\/(sqrt(49)\/sqrt(252)) + -1 + 4)**2.\nAnswer: -216*sqrt(13) + 16857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 997 + -978. Let c(a) be the first derivative of 0*a + 0*a**2 - 22\/3*a**3 + g. Let k(l) = 2*l**2. Calculate c(k(i)).\nAnswer: -88*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2570*h + 2568*h - 62 = 0 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/(-10) - 12\/(-15). Let q(z) = z + 9. Let c be q(o). Let y(r) = -r**2 + 10*r - 11. Let u be y(c). What is the highest common factor of 39 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (144\/336)\/((-12)\/(-56)). Solve 415*y = 416*y - v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 752044 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 18*p + 81 = 0. Let s be (-8)\/36 - (-20)\/p. Factor -o**s - 1\/2*o**4 + 0 + 3\/2*o**3 + 0*o.\nAnswer: -o**2*(o - 2)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -16, 0.5, 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 962.74 - -285.56. Round r to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41802, -83581, -125344, -167085, -208798, -250477?\n\"Answer: m**3 + 2*m**2 - 41792*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5577 (base 11) to base 3\nAnswer: 101002000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 6*o + 1. Suppose -16*d = -12*d + 20. Give r(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 31\/6 - (-4)\/(-24). Let t(k) = k**2 - k. Let y be t(3). Let v be (6\/(-4))\/(y\/(-4)). Solve -q*d + 18 = 2*s, 4*s + 25 - v = 5*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 55854.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -10*p**3 + 2*p**2 - 2*p - 3. Determine t(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 - -748. What are the prime factors of z?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85345 is divided by 129?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 6:51 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnjj when four letters picked without replacement from {n: 2, j: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -83*f + 98 - 1\/3*f**3 - 2*f**2. Find the first derivative of y(a) wrt a.\nAnswer: -2*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 k when three letters picked without replacement from {y: 1, l: 10, k: 9}.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101101010 (base 2) in base 15?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 22*j - 40. Determine x(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-8)*68\/51?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r - 13. Determine i(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 62*o**3 + 2*o**2 - 306*o - 23 + 307*o in the form g*o**2 + i*o**3 + n*o + r and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6907638.\nAnswer: 2, 3, 659, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-35))\/(3\/(-21)) - 1. What is the nearest to -1 in d, 0.01, 2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22022121221 + 10?\nAnswer: -22022121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + 3*(4 + 1 + 0 + sqrt(567) - (-1 + sqrt(567) + -4 + -2))).\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 10)*(-3 + 3 - o) - 2*o - o + o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8267 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 7, -2\/9, 5\/298 in descending order.\nAnswer: 7, 0.2, 5\/298, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9341158951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 7:53 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*(-4 + ((1*sqrt(11) - sqrt(11))*-3 - sqrt(11))))**2.\nAnswer: 10368*sqrt(11) + 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 divided by -256741.\nAnswer: -87\/256741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = 2*t + 4*q + 126, -2*t - 26 = -5*q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + 2*sqrt(13) + 5 + sqrt(26)\/sqrt(2)) - (0 + (sqrt(13) - (sqrt(13) - (-2 + 5*sqrt(13))**2)) + -3))*1.\nAnswer: -336 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1936295.\nAnswer: 5, 271, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-12)*178\/623*(-56)\/2?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, -45, -86, -127, -168, -209?\n\"Answer: -41*o + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*r + 22*r - 9*r**3 + (-4*r + r + r)*(2*r - 2*r + 2*r**2) - r**2 - 4*r**3 + r**2.\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 59, 97, 149, 221, 319, 449, 617?\nAnswer: 829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 4*w - 5. Let n be k(4). Let p = n - -8. Suppose 0 = -3*m + 8*m - 4*g - 29, 0 = 3*m - 2*g - 19. Solve -3 = p*i - m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10*s - 250 = 5*s, 2*d - 3*s = -101. Is d < -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8547013, 17094026, 25641039, 34188052, 42735065, 51282078?\n\"Answer: 8547013*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 1, y: 1, q: 1, a: 1}. Give prob of sequence pq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuniuiuqnw. What is prob of picking 1 q and 1 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 33*f - 115, 9*f + 3 = 8*f for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 559043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 s, and 1 m when three letters picked without replacement from {m: 5, s: 4, i: 3}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 times -892494?\nAnswer: -334685250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2 - 32691*j - 163530 = 0 for j.\nAnswer: -5, 10902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 7, o: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/327 and -22\/327?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1161 + -581. What is the greatest common factor of t and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 28. Let a(i) = 14. Let h(m) = -5*a(m) - 2*u(m). Let q be h(-9). Suppose 0 = -q*c + 2402 - 198. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1177, 9719, 32983, 78331, 153125, 264727, 420499?\nAnswer: 627803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**3 + 3*f - 2. Suppose -4*g + 3*p + 22 = 0, -5*g - p = -2*g + 3. What is r(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/4))**27\/((c*c**(-2\/5))\/(c**(2\/3)*c)))\/((c**(-2\/7))**(-24\/11)*c**(-1)\/(((c**0\/c)\/c)\/c)) assuming c is positive.\nAnswer: c**(86363\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*h + 2, 2*l + 5*h - 2 = 6*h. What is the nearest to -1\/2 in -0.04, l, 3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 289287642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-148)\/130 + (-200)\/(-125)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7657839 = -16*s - 7659039 for s.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + -11040151?\nAnswer: -11040132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -263000 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/28)\/(23\/(-184)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004909 rounded to 6 dps?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51805 is divided by 12447?\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 192\/16*(-1)\/(-66)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from wwdg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 627788.2cm?\nAnswer: 6277.882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, 0, -39, -4, -2.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.57333 rounded to zero decimal places?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t - 1. Let c be g(1). Let p(w) = -w + w + 9*w + c*w. Let a(r) = -r**2. Calculate a(p(v)).\nAnswer: -121*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16203028619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 923 divided by -269481.\nAnswer: -923\/269481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*m - 35046 + 1261 = 0, 6786 = p - 5*m. What are the prime factors of p?\nAnswer: 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from ookokjo.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 13*v - 9. Does 31 divide k(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1964989 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*t - 17 = 0, -5*t + 434 = -5*d + 399 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 7*p + 8. Let q be j(7). Suppose 345 = 11*a - q*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 61671*x - 61674*x - 4, 0 = 3*m + 7*x - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 22*u - 129. What is the lowest common multiple of v(-6) and 45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 8. Let i(b) be the third derivative of 0*b**3 + 1\/30*b**z + 0*b + b**2 - 1\/24*b**4 + 0. What is the second derivative of i(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*j = -322 - 390 + 10 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h. Let g(p) = -p - 25760445. Determine g(x(n)).\nAnswer: -2*n - 25760445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 3)*(1 - 1 - 2) + (-2 + 5 - 1)*(-2 + 2 + 2))*(-3*a - 3*a + 8*a).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 550 + -567. Let l(z) = z**2 + 20*z + 48. What is l(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57 and 0.32?\nAnswer: -18.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*n - 8, -842*n = -841*n - 5*b - 75 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -33*f - 48. What is the greatest common divisor of 45 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/190 and -87\/20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 1 - 11. Let x(k) = -k. Let o be x(b). Let w = -4 + 6. Solve -o*q = -4*c - 12, w*c + 6 = c + 2*q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 5:11 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 3441470, 2\/7, 0.4?\nAnswer: 3441470","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 9*s - 14*s + 10, -18 = 2*i - 2*s. Sort -1, i, 26, 2 in descending order.\nAnswer: 26, 2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47905 by 737.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*i + 18 = 0, -3*x = -2*i + 61 - 63. Let -9\/4*z**5 + 0 + 0*z + 1\/4*z**x - 7\/4*z**3 + 15\/4*z**4 = 0. Calculate z.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -110, -66, -30, -8, -6, -30?\n\"Answer: -w**3 + 2*w**2 + 45*w - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303268028.\nAnswer: 2, 7, 10831001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000004434 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (5 + 3)\/2. Find the common denominator of (-4)\/((-12)\/9) + (-15)\/(-35) and 51\/2 + 9\/n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -224 - -4?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 46139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4084, 8158, 12232, 16306?\n\"Answer: 4074*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f**3 - 3*f**2 + 8*f + 21. Let l(s) = 3*s**3 - s**2 + 3*s + 7. Let a(r) = 4*c(r) - 11*l(r). Let z be a(-5). Let g = 189 - z. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110198706?\nAnswer: 2, 3, 1187, 15473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 72003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 858421 divided by -4?\nAnswer: -858421\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 93.\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9860.296 millennia in decades?\nAnswer: 986029.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zak when three letters picked without replacement from zkakzazkkzzzaaazkkkk?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101121001110 (base 3) in base 8?\nAnswer: -10717131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24\/32*(-4 - 11\/(-3))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 232 and 0.3806.\nAnswer: 88.2992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*j - 224, -2*y = -5*j + 3*j - 150. Let f be 4 + -1 - j\/(-20). Which is the biggest value? (a) f (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1028139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-23\/3)*((j*j**8)\/j)\/(j*(j**(-1\/6)*j)\/j*j) assuming j is positive.\nAnswer: j**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -58262.86 rounded to the nearest one thousand?\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1047618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*q = -245*q - 9717. Calculate the remainder when 756 is divided by q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12999854 - 0.13. What is r rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9112818 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: Express -102*p + 69*p - 100*p in the form z + m*p and give m.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1109 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -415*d + 4057. List the prime factors of z(-13).\nAnswer: 2, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1844 is divided by 264?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0*r - r)*(-43 + 43 + 17051*r**4 - 9643*r**4 + 13131*r**4).\nAnswer: 41078*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xeogsxnn. What is prob of sequence nxge?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167 = 24*v - 133*v - 1449 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 159138632 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*r + 42 = -588 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1110 and 823775844.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -102 + -2.8614\nAnswer: -104.8614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 5 - 117*z + 118*z + 6 - 4*z**4 - z**3 to g*z**3 + d*z + j*z**2 + a + c*z**4 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f + 100 = 0. Let d = f + -55. Let o(h) = -22*h. Let w(j) = 385*j. Let a(t) = d*w(t) - 88*o(t). Let y(v) = v**2. Calculate y(a(m)).\nAnswer: 121*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-8)*q*q)**(31\/2)\/(q**(-1))**(-6\/25) assuming q is positive.\nAnswer: q**(-3887\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -1 + 7. Let r(q) = q - 3. Let u be (-1)\/(3\/(-15) + 0). Suppose 0 = -5*b + u*t + 21 + 9, 0 = 2*t + 2. Let l(f) = -2*f + 7. Give b*r(s) + k*l(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3\/4, 0.2, 0, 3\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5344003?\nAnswer: 7, 763429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -8 in increasing order.\nAnswer: -8, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*r**3 + 306 - 306 - r**3 + 2*r**3 - 2*r**3 + (2*r**2 + 0*r**2 + 0*r**2)*(-4*r + 4*r + 2*r) - 3*r**3 + 0*r**3 + r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2053 is divided by 133?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (52\/8)\/(1\/2). Suppose 2*i = i + 2. Suppose 0 = o - 4, i*o - 24 = -2*q + 218. Calculate the greatest common divisor of d and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + 13508232?\nAnswer: 13508244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -245 - -281. What is the tens digit of (-9)\/6 + 9450\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1371, 2755, 4139, 5523?\n\"Answer: 1384*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 3*l + 6, 2*q - 3 = -l + 2*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-3*sqrt(102) + sqrt(102))\/(4*sqrt(864))*1)**2.\nAnswer: 425\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from lllllssslsslss.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9 - 19 = 3*c, -2*p + 7 = -c. Is 11 a factor of 3 + 2 - p\/((-2)\/210)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3380, -6780, -10180, -13580?\nAnswer: -16980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0363 and 17518.\nAnswer: 635.9034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -36, -83, -154, -255, -392, -571?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, 0.1, 538, -1\/8, 2, 0.2 in increasing order.\nAnswer: -0.21, -1\/8, 0.1, 0.2, 2, 538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.214495562 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*a*y**2 - 3*a*y + a - 26*y**2 + 70 wrt a?\nAnswer: -5*y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27454 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 53*f**2 - 138*f - 4406. Determine c(-54).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -107*w - 13. Let b be v(-9). Suppose b = 4*n - x, -4*n + 2*x - 242 = -5*n. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (208\/(-16) - -21)*(-6)\/(-168). Which is the nearest to m? (a) -0.2 (b) -0.29 (c) -53 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(-1\/4)))**(6\/5)*(l\/(l**(-5)*l))\/l**(-2\/21)*(l**(-2\/9))**(-12\/5)\/(l**(-4\/9)\/l*l**(-2\/11)) assuming l is positive.\nAnswer: l**(60671\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**3 + 183*i**3 + 70*i**3.\nAnswer: 241*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 2, k: 9, m: 2}. Give prob of sequence mg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(891) - (sqrt(891) + 0 + sqrt(891))) + 1 + sqrt(44)\/sqrt(4) + 2 + sqrt(44)\/sqrt(4).\nAnswer: 3 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1225) + sqrt(1225)*1 + sqrt(49) + sqrt(5929)*1)\/((3*sqrt(70)*1)\/sqrt(10)).\nAnswer: 22*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/756 and -121\/882?\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + 5*h**2 - 7*h**2 + 3*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6 - 153*q**2 + q - 2*q**4 + 153*q**2 + 4*q. Let w(g) = 3*g**4 - 4*g + 6. Let b(z) = 4*d(z) + 5*w(z). Find the first derivative of b(m) wrt m.\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 440, 498, 602, 758, 972, 1250, 1598?\n\"Answer: d**3 + 17*d**2 + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*-1)\/(2\/(-4)). Let q be v\/(-12) + 73\/3. Suppose -q = -2*s - 5*i, 4*s - 3*i - 48 = -i. Solve 4*g + s = -8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvzz when four letters picked without replacement from jpzvqpvzpwqw?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = z + 124 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*n - 10*n - n**2)*(-8164 + 16285 - 7913 - 2*n) to r*n + b*n**2 + l*n**3 + t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56343 - -144531. Suppose 11*n - i = -n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f + 8*f - 4*f**3)*(-164 + 13*f**2 + 164) + (2*f**2 - 3*f**2 + 0*f**2)*(4*f**3 - 2*f**3 + 0*f**3).\nAnswer: -54*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/11)\/z**28)\/((z*z**(-23))\/z**33) assuming z is positive.\nAnswer: z**(296\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3823051354 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-15)*m*m*m**20*m*m**(2\/13)\/m*m*m*m*m\/(m\/((m\/m**(4\/7))\/m)*m*m) assuming m is positive.\nAnswer: m**(690\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15188492 less than 0.7?\nAnswer: 0.54811508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/(3*(-7)\/28). Solve -3*c = -a - 11 - 5, 0 = 5*c + m*a - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 15.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.05. Suppose -17*h + 15*h - 8 = 0. Let p be (-11 - -1)*(-75)\/(-150) + 78\/16. Which is the smallest value? (a) p (b) h (c) l (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 17*j**3\/6 + 9*j**2\/2 + 4*j. Let s(f) = 4*f + 2. Let v(i) = -2*o(i) + 9*s(i). Let l(a) = 5*a. What is v(l(h))?\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-1) + 4)\/(-10 + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (875\/1050)\/((-7)\/476*(-2)\/(-3)*-1)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -244 or -1?\nAnswer: -244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*v + 11 = 1, 0 = 3*c - 2*v - 25. Suppose 3*g + c*b = -0*g + 869, 5*b = 2*g - 596. Is g a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 2*n**2 - 6*n - 8. Let p(z) = -4*z**3 - 10*z**2 + 19*z + 25. Let j(f) = 2*p(f) + 7*v(f). Calculate j(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, 7, 40, 107, 220?\n\"Answer: 2*u**3 - u**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 4*n**2 - 4*n - 1. Let y be s(-3). Suppose -v + 2*v - y = 0. Suppose 5 = -5*p + b - v*b, -20 = -p + 4*b. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(15\/(-4)))\/(9\/(-27))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 41*l**4\/12 + l**2\/2 - 240*l - 9. Let r(h) = 21*h**2 + 2. Determine b(r(s)).\nAnswer: 18081*s**4 + 3444*s**2 + 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20565506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 10036*g + 180643. What is i(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17742250 and 5000.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 15 - (-7 + (15 - -9)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (33\/((-1155)\/28))\/((-261)\/290)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1492174*d**2 + 4 + 355031*d**2 + 608392*d**2 - 4.\nAnswer: 2455597*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(1280) + sqrt(5))*5 + (sqrt(1331) + -5 + sqrt(1331))**2 + (sqrt(11) + -5*sqrt(891))**2.\nAnswer: -3735*sqrt(11)\/17 + 26645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 974208 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 1659?\nAnswer: -1661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*((-9)\/(-6) - 0). Suppose -6 = -3*z + o + 5, d = -3*o. Suppose 0 = -5*g - 3*h + 30, 2*h + 2 + z = 5*g. Solve 4*j - 8 = 5*f, -11 = -4*j + f - g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 584941 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9*w**2 - w + 1. Determine d(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003726 tonnes in milligrams?\nAnswer: 372600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150120 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 15*k = -234. Calculate the remainder when 151 is divided by k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -22*y - 9. What are the prime factors of x(-3)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24672553 (base 9) to base 7\nAnswer: 204536664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h - 6. Let u(z) = -13*z - 13. Let t(q) = 11*p(q) - 6*u(q). Let d be t(0). Solve -4*l - d = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 0.14934?\nAnswer: 2.85066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, a: 3, y: 13}. What is prob of picking 2 a?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9074 = 263*u - 8547 for u.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/5)*t*t*t*t*t**(-2\/5))\/(t*t\/((t\/t**(-2))\/t))**23*t**(-5)\/((t\/(t**3*t))\/t)*t**(-2\/7)*t**8*t assuming t is positive.\nAnswer: t**(417\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -241\/636 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.53 - -13.7. Let d = x - 1.16943. What is d rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -36*u**2 + 4*u + 21. Let g(p) = -7*p**2 + p + 4. Let c(b) = -33*g(b) + 6*h(b). Solve c(j) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, j: 9}. Give prob of picking 1 j and 2 r.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*u - 31 + 37 = 0, 2*u = 0. Suppose 0 = -j*o + 5*o + 3*i - 120, -2*i = 0. Calculate the remainder when o is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.2. Let w = 0.4 + k. Let i = -0.2 + w. What is the nearest to 0 in -2\/7, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 + 2 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485067?\nAnswer: 3, 11, 14699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 3*i**2 + 833*i - 497*i - 4*i**2 in the form h*i + s + x*i**2 + v*i**3 and give h.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3)\/2)\/((-3)\/44) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 4:30 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1996 - -2073.1. Which is the second smallest value? (a) f (b) 4 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -926, -922, -916, -908, -898, -886?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + r**3 + 0*r**3)*(2*r**2 + 0*r + 0*r) - 14 + 6085*r**4 - 100 - r**5 - 6084*r**4 + r**3.\nAnswer: -5*r**5 + r**4 + r**3 - 114","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 610768*p + 9161522. What is w(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6493631*z. Let t(v) = -3*v**2. What is y(t(a))?\nAnswer: 19480893*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sswpnns. Give prob of sequence npsw.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**2 - 30*p - 21. List the prime factors of d(15).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from psppppiss.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o = 7*o + 4503. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1139281*l - 5642. Let p(u) = -1212*u - 6. Calculate 2821*p(j) - 3*q(j).\nAnswer: -1209*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 2*m**2 + 8*m - 7. Calculate v(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {n: 1, b: 4, i: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**6 + 1652*s**5 + 261*s**3 + s**2 + 2081832*s?\nAnswer: 240*s**3 + 99120*s**2 + 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 77263967 and 227?\nAnswer: 77263740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**3 - 27*z**3 - 35*z**3 + 4*z**3.\nAnswer: -79*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 31*l**3 - 4*l - 8. Let s(j) = -588*j**3 + 77*j + 154. What is 77*f(x) + 4*s(x)?\nAnswer: 35*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-10)\/(j*j**(-3\/4)))**(-6\/13))**(-1\/4) assuming j is positive.\nAnswer: j**(-123\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1027474 + -1?\nAnswer: -1027475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -548665 divided by 14?\nAnswer: -548665\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxttxxx. What is prob of picking 2 t and 1 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**3\/6 - 11*s. Let z(d) = 2*d. Determine z(w(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 i, and 1 n when three letters picked without replacement from {d: 3, n: 4, k: 1, h: 1, i: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllldppllldllppllpl. Give prob of sequence lldd.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15019, -15022, -15035, -15064, -15115, -15194?\n\"Answer: -u**3 + u**2 + u - 15020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-8) - 6 - -5224. Let g = 5342 + a. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghehhhehgeggbhheeg. What is prob of picking 1 e and 1 h?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 7830.\nAnswer: 54810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403680 is divided by 8970.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 4:10 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 c, and 1 f when three letters picked without replacement from {u: 1, t: 6, y: 5, c: 2, f: 2, w: 1}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 4)*(-236658*k**5 - 2*k + 230844*k**5 + 2*k).\nAnswer: -34884*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(2\/5)\/w))\/w**2*w**(2\/9)*w\/w**2 assuming w is positive.\nAnswer: w**(-53\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -36 (b) 40 (c) 0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200639966 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkcckcckccddc. Give prob of sequence kkd.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*2*(0 + sqrt(2))*-4)**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 154979.36 to the nearest one thousand.\nAnswer: 155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 11*z - 160. Let f be l(14). Let a = 186 + f. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjmmmmmmjjm?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/2 of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9}. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 8:25 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 12:06 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000111010011 + 11?\nAnswer: 110000111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 3. Let z = 13 - w. Let y = -10 + 11. Which is the second smallest value? (a) y (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17852\/44605 + -2\/8921. Which is the third biggest value? (a) 13 (b) 4 (c) f (d) -5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-144)*(-4)\/1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -5*o - 3, 5*k + 21 = -o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4936?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 592 - 586 + 26*v - 173*v. What is the tens digit of l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 23.6. Suppose -4*h + 4*v - 12 = 0, -h + 21 = 4*v + v. Which is the nearest to -1? (a) -1\/9 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) - (-52)\/14. Let r(t) = -t**3 - 5*t**2 - t - 4. Let b be r(-5). Suppose -25*m = -22*m - 6. Solve -2*l - z + 3 = 0, -m*l + z + b = -c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -350*h**3 + 5*h**2 + 9*h - 26. Let m be x(2). Which is bigger: m or -2789?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 14 = -2*q, 2*q + 2 = 2*s - 4*s. Let t(j) = -26*j**3 + 17. Let p(v) = 9*v**3 - 6. Determine s*t(u) - 17*p(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let j be ((-6)\/(-2))\/((-6)\/(-8)). Solve 0 = u*q + j*y - 8, 2*q - 4*y + 24 = -0*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3692 and 852.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - i**2 - 6762*i - 13524. What is b(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23470 = 43*h - 28087. What is the greatest common divisor of h and 763?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -898*j**2*v**2 - 2*j*v**2 + 3*j*v - v**2 - 169*v wrt j?\nAnswer: -1796*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11672*k**3 - 442*k**2 + 2 wrt k?\nAnswer: -70032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**3 - k + 2. Let d be h(1). Suppose 0 = 294*r - 296*r - d. Let f(a) = -2*a**2 - 4*a - 1. Give f(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -14. Let n be (s\/4)\/(1\/9). Suppose 20 + 13 = 3*z + 3*b, z - 3*b + n = 0. Solve 4 = -g + z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/8 - 19095*b\/8 + 28647\/4.\nAnswer: -(b - 3)*(b + 19098)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 - 2245584*k**2 - 4491169*k - 6736754\/3.\nAnswer: (k - 6736754)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1084.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q + 3 = -3*k, 5*k = 3*q + 51. Find the common denominator of (98\/q + 1)\/(34\/102) and 41\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -17, -1, -37 in descending order.\nAnswer: -1, -2, -17, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -10.1. Let z = 10 + w. Let s = z - 0.4. Which is the second biggest value? (a) 9 (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1 - 8) - (-80289)\/27. Let h = m - 525. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*h**4 - h**2*l**2 + 73*l**2 + 2 with respect to h.\nAnswer: 204*h**3 - 2*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10361 divided by -797\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u + 18*u - 84 = 4*t, -556*t + 558*t = u - 28 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t + 94*t + 2344 = 121 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - g - 30 = h, -g = -3*h - 19. What is the remainder when (34\/8)\/(h\/(-28)) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 40 = 40. Let s(t) be the first derivative of 2*t**2 + 0*t + 2\/5*t**5 + k*t**4 + 0*t**3 + 4. What is the second derivative of s(i) wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 3.2. Let q = -0.1 - -0.06. Let p = -0.16 + q. Which is the closest to v? (a) p (b) 0.1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 124 = 5*g, 0*g + 6*g - 4*g - 5 - 41 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39946?\nAnswer: 2, 19973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*q**3 - 60*q**3 + 252*q**3 - 67*q**3 - 61*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -285.2846?\nAnswer: -283.2846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*w = -3*z + 97, -2*z = -2*w - 162. Calculate the highest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -25*v**4 - 5*v**3 + 19*v + 5. Let m(p) = 37*p**4 + 8*p**3 - 29*p - 8. Let i(n) = 8*a(n) + 5*m(n). Find the second derivative of i(g) wrt g.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*((h + h + 0*h)*(-3 - 2 + 3) - 103*h + 52 - 52).\nAnswer: -214*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) 0.075 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*r + 21, 11*n - 5*r + 19 = 9*n. Let v(h) = 15*h + 25. Let i be v(n). Let w(d) = d**3 + 5*d**2 + 3*d + 7. Give w(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 5*l - 5. Calculate i(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*t - 50724, 2*t + 278 = 5*q + 14806. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2. Let d = -225 - -127. Let p(f) = f**2 - f. Let g(b) = -56*b**2 + 49*b. Let h(s) = d*p(s) - 2*g(s). Determine h(w(y)).\nAnswer: 224*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38308.\nAnswer: 2, 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.970241 millennia?\nAnswer: 9970.241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 482295 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105 + 113. Let v be 3*1 - (-13 + h + 4). Let f = 0.3 + -0.2. Which is the third biggest value? (a) f (b) v (c) 11 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1017 and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**7\/42 + 113*t**6\/12 + 4103*t**5\/4 - 64975*t**4\/6 + 132250*t**3\/3 + 1794*t**2. Factor d(y).\nAnswer: 5*(y - 2)**2*(y + 115)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 61 = 323. Let x be 4*4\/t*1*-1. Which is the biggest value? (a) 1 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -4) + (-14 + 11 - -12 - 14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 206 and 20.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1853 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25 + 4\/(-6 - -4). Suppose -18*z = -k*z. Is z less than or equal to 4\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1266716*w**4 - 2*w - 161349?\nAnswer: 15200592*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.681325 + -0.5.\nAnswer: 0.181325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.641485*39.1\nAnswer: 103.2820635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*z + 2*z = 11710, 23430 = 2*p - z. Let w = -6071 + p. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 15 = -5*l, -5*u + 17*l - 12*l + 15 = 0. Suppose 0 = w - 3*h - 605, -w = -u*w - 5*h - 601. What are the prime factors of w?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 - (-2 - (-3 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1570, 37 in descending order.\nAnswer: 1570, 37, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1532?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235 (base 6) to base 7.\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13264\/5 - -2653. Let v*j**2 - 1\/5*j + 0 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**4\/12 + 21810*i**2. Suppose 5*a + 2*b = 21, 0 = -3*a + 5*b - 2*b. Let t(r) = -3 + a*r - 2 + 4. Determine l(t(q)).\nAnswer: 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4846032552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-84227)\/266 + 2\/(-4). Let a = i + 71663\/224. Calculate the common denominator of a and -77\/20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -34. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -20*h - 33. Give d(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2765 = -7*r + 2*r. Let s be (4\/r)\/(8\/(-28)). Is 1 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*c**4*w**3 - 3*c**4 + c**3*w**2 + c**2*w**3 + 2*c**2*w**2 - 117*c**2*w wrt c?\nAnswer: 552*c*w**3 - 72*c + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(209)*6 + sqrt(209))\/(sqrt(11)*4*6)*-3.\nAnswer: 23*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 1150 = 223*a. What is the third smallest value in 1, 0.2, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 9237309.\nAnswer: 9237309.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30751 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 - 28*h + 5. Calculate i(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*f**3 - 50*f**3 - 56*f**3 - 55*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i + 64. Let s = -61 - -71. Let l be u(s). What is the greatest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640328414 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -10 + 0 + -22 + (2 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 770, 1631, 2492, 3353?\nAnswer: 4214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12455 by -680.\nAnswer: -2491\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -5698\nAnswer: 3\/5698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8 - (-345 - -6) - -12.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 + 41*d**2 - 62*d - 721. Determine m(-14).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 14*g**2 - 141*g + 1975. Let o be d(14). Is -20260 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15514*k*l**2*n**2 + 3*k*l**2 + k*l*n**2 + 25*k*l + 20*k*n**2 wrt l.\nAnswer: -31028*k*n**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 680915273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -358 - -215.2. Let i = n - -143. Which is the biggest value? (a) i (b) -1\/2 (c) -2\/73 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8626, 18570, 28520, 38482, 48462, 58466, 68500, 78570?\nAnswer: 88682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1784363.5 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 12 - 3)*(-6 + 6 - w**2) + w**2 + w**2 - w**2 + (-w**2 + 0*w**2 - w**2)*(2 - 4 + 5) + 2 - 2 - 2*w**2.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*o, 4515*j - 2*o = 4513*j + 18 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - s = -2*c + 174, -4*c + 2*s = -364. Let z = -7 - -17. Calculate the highest common divisor of c and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 351 = -2*s + 1865, 4*s + d = 4388. Let b = 1577 - s. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*z**3 + 1 - 10 - 36*z**3 + 7*z**3 in the form d*z**2 + a + h*z + l*z**3 and give l.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/19306 and -27\/1162?\nAnswer: 1602398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 4121?\nAnswer: -4121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-8)*20\/(-360)*24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 6. Let j be s\/9 - (-8)\/12. Which is greater: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**9)\/c**(-10))\/(((c**(-5\/4)\/c*c)\/c)\/(c*c**(2\/11))) assuming c is positive.\nAnswer: c**(239\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b - 10. Let w(y) = -y + 1. Let z(x) = -d(x) + 3*w(x). What is the derivative of z(n) wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*z + 0)*(0*z**3 + 2*z**3 - z**3) + (z - 6*z + 4*z)*(2 - 2 + z**3) - z**4 + 11*z - 11*z - 2*z**4 - 3*z + 3*z.\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 297 + -294. Calculate the remainder when 50 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -709965 - 31?\nAnswer: -709996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*s**2 + 5*s**2 - 2*s**2 - 5*s wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/2 - 8987*o**3 + 80405889*o**2\/2 + 1618918180*o + 16225209800 = 0. Calculate o.\nAnswer: -20, 9007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4021 - 23667?\nAnswer: -27710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from tkkkkkkkkkkk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2417 - 1.7583. What is the third biggest value in m, 0.1, 2290?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 3:56 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = g + 6, 17 - 1 = 5*t + 2*g. Suppose 3 + 18 = 3*h. Calculate the remainder when h is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f - 2. Suppose 3*k - k = 16. Let y(d) = -d**3 + 11*d**2 + 3*d - 18. Let z be y(11). Let b(l) = k*l - z*l + 6*l. Calculate -5*b(p) - g(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/20 and 61\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50163000 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120509260 - 174419260. Round g to the nearest one hundred thousand.\nAnswer: -53900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2519*y**2 - 3*y - 1. Let g = 90 + -91. Is x(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -4*l - 23, 3*l - 55 + 10 = 17*g - 40*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -193, -49, 6 in ascending order.\nAnswer: -193, -49, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:57 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pttktktk. What is prob of picking 3 t and 1 k?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 11) in base 2?\nAnswer: 110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((54\/12)\/9)\/(3\/24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 16. Put -1, 3, f in decreasing order.\nAnswer: 3, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-12))\/(3*(-3)\/18).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*1 - sqrt(88))*-1)\/(sqrt(8) - sqrt(24)\/sqrt(3)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -7921\/7, 0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -l + 10, 2*o - 3*l = 5 + 5. What is the remainder when 12 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59414.99 nanograms to milligrams.\nAnswer: 0.05941499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 14*t - 7. Let b(w) = w**2 + 12*w + 6. Let q(g) = 7*b(g) + 6*o(g). Let a(m) = 6*m**3 - 2*m**2. Calculate a(h) + 2*q(h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-5)\/8 - 1. Let v = -1.7 - -15.7. Let f = v - 10. What is the biggest value in 2\/7, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441126952 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*r - 112. Suppose -k = -1, w - 4 - r = -3*k. Let o = 82 - w. What is the remainder when o is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 114.5089 and -0.209?\nAnswer: 114.7179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-181)\/((-91224)\/448))\/(1060\/(-15))\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 3*a - 4*a)*(-63 + 80 - 118) - 3 + 3 - 2*a.\nAnswer: 99*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 12*b**2 - 3*b**2 - 16*b**2 to f*b + x + k*b**2 and give k.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12276637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 440 - 3*k**2 + k - 337 + 2*k**2. What is the remainder when t(0) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -473, -476, -481, -488?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23197.626 rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -188, -789, -1798, -3221, -5064, -7333?\n\"Answer: -r**3 - 198*r**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1441 + -2b1?\nAnswer: -1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j + 7. Let f be h(-8). Suppose -f*s + 27*s = -16. Suppose -5997 = -4*i + n, 0 = -0*i + 3*i + s*n - 4493. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.510488 or -62\/7?\nAnswer: 0.510488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*f = 393*f + 2*y + 7, -3*f - 12 = -3*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h - 13. Let d(s) = -5*s - 282. Let u(t) = 36*t + 1880. Let o(n) = -20*d(n) - 3*u(n). Determine p(o(i)).\nAnswer: 40*i - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 8*r + 2. Let u be w(4). Sort 3, u, 0.\nAnswer: 0, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by -754957.\nAnswer: -60\/754957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15443 - -32?\nAnswer: 15475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 4, 2\/23, -0.4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31013313 (base 4) to base 15.\nAnswer: 10dd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -341 (base 7) to base 14\nAnswer: -c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n**2*q**2 - 2*n**2*q - 30*n**2 - 10*n*q**2 - 151*q**2 + 151*q - 1 wrt q.\nAnswer: 10*n**2 - 20*n - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.034, 0.02, -0.034 in decreasing order.\nAnswer: 0.034, 0.02, -0.034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 101244553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1121*o - 77. Let v be n(4). Let s = v + -2642. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1794157, -1794190, -1794241, -1794304, -1794373, -1794442?\nAnswer: -1794505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/2)\/(j**(-4)*j) assuming j is positive.\nAnswer: j**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4 - 74*c**3 + 76*c**2 = 0.\nAnswer: -38, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 317831728 a multiple of 668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 11:17 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.97441 decades to millennia.\nAnswer: 0.0097441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 64*i - 2 - 1586*i + 0. Let m be j(-2). Suppose m = 8*c + 5*c. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 6*i**2 + 7*i - 7. Let p be z(5). Suppose 2*j - x - 64 = 0, -53 = -4*j + p*x + 73. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.74 - -7.74. Sort -16, h, 1.\nAnswer: -16, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3257*r**3 - 4 - 3252*r**3 + 4.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -f - 0*f + 5*m, -3*m = 2*f - 20. Suppose -f*d - 3*i + 462 = 0, -121 = d - 2*d + 2*i. Suppose 5*l - 78 = d. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 j when four letters picked without replacement from {i: 3, x: 1, h: 3, j: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -16. What is the third biggest value in n, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -26. Let m = 24 + r. Let c(d) = -2 + 3*d**2 + 4 - m*d**2 - 2*d. Give c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62944591 * -0.3.\nAnswer: -18883377.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2661156 rounded to two dps?\nAnswer: -3.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9981390?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.19 and 838.\nAnswer: 838.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 10*o**2 - 10*o + 8. Let t be u(-11). Let w = t + 5. Suppose -2*a + 2*i = 6*i - 10, 2*i - 2 = w*a. Let s(v) = -11*v**2 + 1. Calculate s(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**37*l*l**(6\/25)*l*(l\/(l**(-27)\/l))\/(l**(-3\/14)*l*l))**(-7\/9) assuming l is positive.\nAnswer: l**(2291\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from ulliqlvqxuuqul?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/11))**(-7\/2)*p\/((p\/(p*p**22\/p))\/p*p)*p*p**(7\/2))**43 assuming p is positive.\nAnswer: p**(12685\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - t = 5*c - 3, -4*t - 12 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (22\/187)\/((-8)\/(-34)). Which is the closest to t? (a) 1\/2 (b) -1 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6807497048 - -126.856.\nAnswer: -6807496921.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 457 - 332*h**2 - 172*h**2 + 507*h**2 to the form s + p*h**2 + i*h and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**4 - 418*i**3 + 2*i**2 - i + 141 wrt i?\nAnswer: -72*i - 2508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32662729.\nAnswer: 11, 17, 19, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 12*r - 7. Let u(o) = o**3 + 15*o**2 + 14. Let z be u(-15). Suppose 0 = z*f - 74 + 4. Let b(i) = 37 - f*i - 6*i - 31. Calculate -7*b(a) - 6*y(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -46*p**4 - 70*p**3 + 84*p**4 + 681*p - 2*p**5 + 322*p**2 - 145*p**3 - 11*p**3 - 93*p = 0?\nAnswer: -1, 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -11. Suppose 0*v - g*v - 8 = 0. Let z(b) = -13*b**3 - 2*b**2 + 5. Let y(d) = -10*d**3 - 3*d**2 - d + 5. Let c(t) = -4*y(t) + 3*z(t). Give c(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 32*v + 43. Let t(d) = 24 - 31*d + 10 - 9 + 17 + 2*d**2. Let u(z) = 4*i(z) - 3*t(z). What is the derivative of u(b) wrt b?\nAnswer: 4*b - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/15)*z*((z*z*z**(-3\/13)*z)\/z)\/z assuming z is positive.\nAnswer: z**(397\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.028943 centuries?\nAnswer: 50.28943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9058 + -9056. Solve 0 = -w*d + 33 - 35 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.837 + 4.837. What is the closest to 0 in g, 12\/29, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5262.08675 to the nearest 100.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -657, -1\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 606 + 5*y**2 - 645 + 9*y**2 - y**3 in the form r + a*y**2 + g*y**3 + p*y and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -8*t + 14. Suppose -5*w - 11 - 14 = 0. Let b be w - (-2 - -1 - 1). List the prime factors of u(b).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/4 - 3*f**4\/2 - 3*f**3\/4 + 4*f**2 + 3*f = 0. Calculate f.\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 45. Suppose -52*h = -47*h - u. Put 3, h, -4 in descending order.\nAnswer: h, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.73, -1034?\nAnswer: -1034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*s - 104, -4*g + 95 = 3*s + 2*s. Suppose -192 = 4*q - 0*q. Let i be ((-1)\/(-3))\/((-4)\/q). Solve -g = p + i*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 1, 5 in descending order.\nAnswer: 65, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + (0 - -3 - 7). Differentiate -4*x**3 - 19*x**3 + 3*x**w - 33 - 5*x**3 with respect to x.\nAnswer: -75*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -16387.21207.\nAnswer: -16384.21207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 15*t**2 - t - 6. Let z be f(4). What is the greatest common factor of z and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*z**2 - 4*z**2 + 0*z**2)*(99 + 117 - 318) in the form w*z**2 + g*z + c and give w.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 13*s = 0. Sort -2, 5, s.\nAnswer: -2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2097 + -1447. Let f be s\/250 - (-3)\/((-30)\/(-4)). Solve -30 = -7*i - f*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2362.\nAnswer: 2, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 197 - 227. List the prime factors of (-4812)\/(-15) + (-36)\/y.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + a + 3. Let j(k) = 56*k**2 + 22. Let i(t) = -5*t**2 - 2. Let c(o) = 68*i(o) + 6*j(o). Let d(y) = 2*c(y) + 3*q(y). What is d(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 65*w - 61*w - 3256, -5*w + 3253 = 4*k. Solve -805 + k = -2*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h - 1 + 11*h - 5*h. Let k = 220 - 214. Give n(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 242*s**4 - 6072*s**3 + 12717*s**2\/2 - 1081*s\/2 + 12 = 0. What is s?\nAnswer: 1\/22, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2. Let f = -64 - -95. Suppose -5*d - 5*b + 45 = -i*d, 4*d - b - f = 0. Calculate the greatest common divisor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 12 = 3*q, 4 = -3*n - 4*q + 5*q. Let c = -975441\/445 - -2192. Which is smaller: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y**2 + 4*y - 17. Suppose -13*q - 18*q = -124. Let m(s) = -3*s**2 - 2*s + 8. Determine q*t(c) + 9*m(c).\nAnswer: c**2 - 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/1 - (22 - 5)\/((-2)\/(-2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5952035 is divided by 12637?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 x when four letters picked without replacement from dxacxxacrrcxxx.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.95 + 1.9. Let m = -0.45 - v. Which is the fourth biggest value? (a) -0.2 (b) m (c) 2\/11 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 20 + 20)*(-4*g**3 + 2*g**3 + 3*g**3) + (-2 + 2 - g**3)*(3*g + 2*g - 3*g).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (54\/(-180))\/((-22)\/10 - -1). Let d = -2 + 6. Which is the nearest to t? (a) 1\/3 (b) -0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, -1, 5, -3, -5, 162821 in ascending order.\nAnswer: -5, -4, -3, -1, 5, 15, 162821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 706 = -11. Suppose 4*m - q - 65 = 0. Suppose 0 = -5*b + r + m, 3*r + 34 = 2*b - r. What is the least common multiple of b and 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 1. Let j(v) = 6*v**2. Determine j(x(l)).\nAnswer: 24*l**2 - 24*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(192)*3 - sqrt(192))**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133 is divided by (9507\/(-132))\/(236\/(-1298)) - (-2)\/(-16).\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 + 30198*k**3 - 2772609*k**2 + 2561184*k + 16454340 = 0. What is k?\nAnswer: -10157, -2, 3, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**3 + 4*v**2 + 5*v - 14. Let m(l) = -3*l**3 + 4*l**2 + 5*l - 12. Give -6*f(k) + 7*m(k).\nAnswer: 3*k**3 + 4*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25692 (b) 5 (c) -2\/3 (d) 0.6 (e) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j - 3. Let m(d) = -7*d + 4. Let b(i) = 4*k(i) + 5*m(i). Let p(h) = h - 3. Determine 4*b(o) + 11*p(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*u**2 - 14\/3*u - 40\/3.\nAnswer: -(u + 4)*(u + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*m - 17*m - 130*m - 36*m - 112*m)*(2 + 7 + 5)*(-3 + 7*m + 3).\nAnswer: -27244*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2715 - 1?\nAnswer: 2714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61467*d**2 - 18516*d - 6 wrt d?\nAnswer: -122934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.5, 26, 0.04, 32, 109 in ascending order.\nAnswer: -0.5, 0.04, 0.4, 26, 32, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -572 in decreasing order.\nAnswer: 5, 4, -572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 2*l**3 - l**3)*(0*l**2 + 3*l**2 - l**2 - l**2 + 3*l**2 - l**2 + (-1 + 1 + 2*l)*(2*l - 6*l + 3*l) - l + l + 2*l**2).\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 6*j + 2849 = 0. 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 311056 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8071 greater than or equal to 4944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -215, -182, -149, -116, -83, -50?\n\"Answer: 33*c - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 4:55 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:11 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-260)\/(-25)*(-15)\/(-6). Calculate the highest common divisor of 234 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 89.75 (b) 382 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17781\/10 - -108617\/70. Let d = 226 + l. Which is the closest to -1? (a) -1 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 22*m - 14*m + 15, -30 = -5*u + 5*m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3230\/7 - -197170\/427. Calculate the common denominator of -12\/23 and b.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68.9999544 + 69. Round t to six decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/10)\/(2\/(-4)). Suppose -i*j - 24 = j. Let o be 148\/10 - j\/30. Solve o = 4*f - 9*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359265 to the power of 1\/2, to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 32, -18, -3, 0 in increasing order.\nAnswer: -18, -5, -3, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 3, 1, 41, 9, 2 in decreasing order.\nAnswer: 41, 9, 8, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6628 - -6712. Calculate the remainder when 360 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -160*r + 1. Suppose 2*s + 4*p - 16 = 0, 0 = 4*s + p - 1 - 3. Suppose -k - 2 + 1 = s. Is c(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/5 of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -36*((-22)\/40 - (-116)\/145)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*a - 3503 + 18*a - 46*a + 3502 to f*a + p and give f.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -324 + 347. What is the remainder when 77 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2204 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357631 is divided by 4158?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 less than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5\/7 + 286*y**4 + 32724*y**3 + 6217124*y**2\/7 - 229066*y\/7 - 6219126\/7 = 0. Calculate y.\nAnswer: -53, -1, 1, 1107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 78\/4*(-8)\/(-6). Let w(l) be the second derivative of l**3\/6 + 65*l**2\/2 + l. Let r be w(0). What is the greatest common factor of z and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 4*w - 12 = -j, 5*j - 5*w - 30 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*r + 3*t, 5*r - 182 = 3*t - 32. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysys when four letters picked without replacement from {o: 2, y: 3, s: 2, d: 4}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = -172 + 242 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17808 and 2809.\nAnswer: 943824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 5*n + 3, 5*x - 182*n - 18 = -184*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15, 71, 171, 321, 527, 795, 1131, 1541?\n\"Answer: a**3 + 16*a**2 + a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 22865 = 5*h, -2*h + 9154 = 2*b - 0*b. Suppose -5*m + 2*j = -b, m + 0*j = -4*j + 893. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*((1 - 3 + 0)*(2 - 4 + 0) - 1 + 2 - 3)*(3*b + b + 4*b) to the form w*b + g and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10455433 - 5?\nAnswer: 10455424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = 54*x + 13*x - 197107. What are the prime factors of x?\nAnswer: 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 17*n + 13 - 3.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 598297*z**3 - 598316*z**3 + 791*z + 1337*z + 4*z**2 wrt z?\nAnswer: -114*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/8 (b) 1\/21 (c) 1 (d) -11 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**16*v**3*(v\/(v*v*v**(-7)))**(-25) assuming v is positive.\nAnswer: v**(-131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 95.506928 and -3.82?\nAnswer: 99.326928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqxxxxxqxxqqqxxqqqqx. Give prob of picking 3 q.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10312 + -5593. Let w = r + -37813\/8. Find the common denominator of 49\/48 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*a + 67*a = 3*s + 15, -9*a + 3 - 64 = 7*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/5 + 11\/20. What is the nearest to l in 0.3, 1\/2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-135))\/((-380)\/135).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101 (base 2) to base 6.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2491350 divided by -3?\nAnswer: -830450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 0 = -48. Let d be (q\/3 - 0)*(-495)\/(-110). Solve d = 6*n - 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012494909456 rounded to seven decimal places?\nAnswer: -0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 5*g + g + (0*g - g + 2*g)*(3 - 1 - 1) + 0*g + g - 3*g)*(-4*g + 6*g - 3*g + (-2*g + 0*g - g)*(9 - 1 + 4)) as n + o*g**2 + l*g and give o.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -205 + 220. Suppose -4*k = -12, 5*x - l = 3*k + 66. Solve -a = g - 1, 3*a + x = 2*g + 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 1\/4, -0.83?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*t + 6*y + 61, 2*t + 3*y + 38 + 37 = 0 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 398 = -6*h + 4*h, 5*h + 5*v = 980. Let i = 305 - h. Suppose 0*k - 6*k + i = 0. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 347 = -n, q - 94 = 3*n - 7*n. What is the greatest common factor of q and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - s**2. Let y(a) = -a**3. Calculate -4*d(g) - 3*y(g).\nAnswer: -g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 179161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -31, -2, -3 in increasing order.\nAnswer: -31, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4413937?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2017360.42 to the nearest 10000.\nAnswer: -2020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-7)*24\/15)\/((-337)\/(4394817\/(-162))).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2913 - 0.5.\nAnswer: -2913.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3. Let c be z(0). Suppose 3*j - 4*k - 536 = c, -5*j = -3*k - k - 896. Round j to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -52?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5021 and 2.73?\nAnswer: 5023.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smse when four letters picked without replacement from emggiggggsq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27396 by -12.\nAnswer: -2283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/(-8))\/(18\/(-24))*-2. Suppose 18*z = r*z + 27. Solve -l + z*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 1. Let l be o(6). Suppose 4*j + 20 = 2*p, -p + l*j + 16 = -3*p. Solve 4*t + p*a + 0*a - 6 = 0, -4*t = -2*a - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*m + 1700971*j**2 - 124*j*m - 2671*j wrt j?\nAnswer: 4*m + 3401942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 21*t - 20. Let k be g(20). Which is greater: 4\/15 or k?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (34\/(-8))\/(1\/(-4)). Suppose -y + 1 = o, 6 = -3*o + y + d. Let b(f) = -3 - 639*f**2 + 3*f + 1277*f**2 + f**3 - 642*f**2. Calculate b(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*-76\nAnswer: -83.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + 0\/(-3) - (-1 - -4). Suppose g*u - 8*u = -c + 17, 0 = -2*c + 5*u + 25. What is the remainder when 27 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-4*c**2 + 4*c**2 + c**2) + (0 + 0 - c)*(-3*c + 3*c - 3*c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960797491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 18*x + 1. Let q(n) = -16*n - 1. Let t(p) = -4*h(p) - 5*q(p). Let s(m) be the first derivative of m**2\/2 - 5. What is -6*s(z) + t(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*y - 29 = 0, s - 4*y = 5*s - 44. Let u be ((-10)\/s)\/(-1*3\/9). Solve n - 8 = u*x, 2*n = n - 5*x - 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s\/(s\/(s**6*s)*s)*s*s\/s**(2\/13)*s**(5\/3))**(-7) assuming s is positive.\nAnswer: s**(-1778\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, q: 2}. What is prob of picking 4 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 63*y**2 - 8*y + 21. Let u = 3 - 11. Let a(k) = -42*k**2 + 5*k - 14. Let j(o) = u*a(o) - 5*p(o). What is the derivative of j(w) wrt w?\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a + 7*a - 4*a. Let s be u(5). Suppose 3*p + 23 = 6*p - f, 5*p - 3*f = s. What is the lowest common multiple of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 55*k**2 - 17*k + 30. Calculate the remainder when m(3) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*w - 5*i = -54*w - 50*w + 67, 3*i + 12 = -27 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/10 (c) 1 (d) 17.41 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 8 = 4*k. Let w = 6 - k. Solve a = 3*g - w, 0 = -3*g + 3*a - 8*a + 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - k**2 + k + 1. Let w(d) = 3*d**4 + 5*d**3 - 3*d**2 + 5*d + 5. Let i(m) = w(m) - 5*z(m). Find the third derivative of i(j) wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2144, 8598, 19358, 34424, 53796, 77474, 105458?\nAnswer: 137748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 65*i**2 + 457*i + 58. Give w(-57).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + 113?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22369957079 - 430.\nAnswer: 22369956649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 - 31\/4. Let o(p) = -2*p + 3. Is o(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 47*t**3 + 1 + 94*t**3 - 45*t**3 - 8*t**4 to j + v*t**2 + i*t**4 + h*t + k*t**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 6*r + 71. Suppose r*m - 240 = -5*l, -2*m + 6*m - l - 197 = 0. Calculate the remainder when 195 is divided by m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from pqqpfqqqqffqqpfqqpp?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 349.7 + -349.7000024892. Round d to 7 dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l**3 - 96*l**3 - 7*l**3 - 69*l**3.\nAnswer: -146*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - -11 - (-13 - 0) - (6 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 319 and 232?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 6 + -2 + -7 - -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*o**3 + 105\/2*o + 45\/2*o**2 + 55\/2.\nAnswer: -5*(o - 11)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/316?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 267, 284, 295, 300, 299, 292?\n\"Answer: -3*d**2 + 26*d + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*o**2 + 692*o + 696*o - 1394*o + 2 to the form q + v*o + s*o**2 and give s.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13103211 (base 4) to base 9.\nAnswer: -45040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 6)*(3*j + 2*j - 7*j) + 8 + 3*j - 8 + j - 7*j + 10*j)*(-3*j**2 - 2*j**3 + 3*j**2).\nAnswer: -22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**5\/10 - 9*k**4\/8 + 29*k**3\/6 - 39*k**2\/4 + 9*k + 49. Factor r(a).\nAnswer: (a - 3)**2*(a - 2)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*w**3 + 445826*w**2 - 127380*w.\nAnswer: 2*w*(w + 31845)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 768 = -0*x. Let b(h) = -6*h - 64. Let y be b(-11). Suppose -5*u + u = -4*o - x, y*u + 2*o - 400 = 0. Is u a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 184, 415, 746, 1183, 1732, 2399?\nAnswer: 3190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/92855 and -17\/36384?\nAnswer: 8914080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -425 - -908. Suppose -14*h - 6 = -17*h. Suppose -w - h*w = -v. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/9))\/r*r**(6\/19)*r*r*r assuming r is positive.\nAnswer: r**(605\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(61 - 61 + 2*u)*(9*u**4 + 9*u**4 + u**2 + 31*u**4).\nAnswer: 98*u**5 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m - 61. Let h be q(-9). What is the second smallest value in -3\/5, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b - 12*b**2 - 18*b + 9*b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29144, -29123, -29102, -29081?\nAnswer: -29060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 = -26*m - 633. Let h(t) = t**3. Let c(j) = -5*j**3 - 17*j - 23. Let i(g) = c(g) - h(g). Let u(o) = -o**3 - 3*o - 4. Calculate m*u(p) + 6*i(p).\nAnswer: -2*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(39)\/sqrt(3) + -4) + sqrt(65)\/(sqrt(500) + sqrt(500) + (sqrt(500)*-3 - sqrt(500))).\nAnswer: -21*sqrt(13)\/20 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/4049250 and -67\/35.\nAnswer: 28344750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67.5 + 71. Let h = o + -3. Which is the closest to -2? (a) -2\/17 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.57933t in grams?\nAnswer: 25579330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -263 + 381. Suppose -7*z + 120 + s = 0. Suppose -44*b + 26*b + 216 = 0. What is the remainder when z is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**4\/4 + 44085*d**3\/4 - 110255*d**2\/2 + 88215*d - 44110 = 0.\nAnswer: -8822, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 62*h + 66. Calculate o(5).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16794.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 + 2*d - 15. Let z(o) = -2*o**3 + 3*o - 16. Determine -3*v(k) + 2*z(k).\nAnswer: 2*k**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-11.81.\nAnswer: 4.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -319 + 33. Does 24 divide z\/(-4) + 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 9:12 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 0*k + 2*k)*(-1 - 1 + 6) - 13*k + k + 2*k.\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-508)\/(-18) + (-4)\/18.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*a + 7*a - 245 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -99*y - 1477. What are the prime factors of p(-26)?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 + 9\/(-12)*-9. Put 0.04, p, 6 in ascending order.\nAnswer: p, 0.04, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + p - 9, 5*p - 5 = -48*u + 46*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = 4*b, 3*b - 5*y = 2 + 12. Suppose b*r = 69 + 120. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-204)\/120*-10*1. Solve z*r + 15 = -19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 8. Let p be u(-5). Suppose 6*w - w + 5 = 0. Let n be w*(-1 + (-3)\/3). Sort p, 3, n in descending order.\nAnswer: 3, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1505 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**4 + 4*a**2*f**3 - 3*a**2 - 7*a + 3*f**3 wrt a?\nAnswer: -48*a**2 + 8*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00122527 to five decimal places.\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 15*m + 3. Let c be l(-7). What is the highest common factor of c and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121010220221 - -10?\nAnswer: 1121010221001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -3966.\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22191, -177467, -598891, -1419525, -2772431, -4790671, -7607307, -11355401?\n\"Answer: -22177*v**3 - 12*v**2 - v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12830457 and 1251.\nAnswer: -12829206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -1 - (-2 - -3). Suppose n*u = -5*u + 15. Suppose u*y = 3*a - 194 + 38, 3*y - 220 = -5*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3556973, 3557163, 3557353, 3557543?\n\"Answer: 190*b + 3556783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 33053.\nAnswer: 99159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*w + 139*w = -30 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489340 is divided by 97865?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 45. Suppose 6*k + g + 13 = 3*k, 2*g = b. Which is bigger: k or -9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*t**2 + 4*t - 4*t to the form r + w*t + s*t**2 and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3360 (base 8) to base 5\nAnswer: -24101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529.\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 13*n + 44. Let u be b(10). Suppose 3*q + 18*k - u*k = 42751, -2*q = 3*k - 28500. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 7:25 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 8*j - 5*j + 24, -3*q + 5*j = -16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 8) to base 4\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = z + 4*g, 0*g + 19 = 4*z + 3*g. Let r(w) = 3*w**3 - 20*w**2 - 7*w + 4. Determine r(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369.812427 rounded to zero decimal places?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 14 + 10 = -8*o - 2*z, 3*o + 5*z - 3*z + 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = r - 3*k, -39 = -2*k - 45 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 2. Let v be c(-5). Suppose 12 = 4*r + 3*p + v, p = 4*r + 3. Suppose -16 + 6 = 2*i, 2*g - 2*i - 56 = r. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7287, 7290, 7295, 7302, 7311, 7322?\nAnswer: 7335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -511*f*w**3 - 153*f*w**2 + 2308469*f*w wrt w?\nAnswer: -3066*f*w - 306*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**3 - 2*x**2 - 2*x. Let w be r(2). Let n(b) = 728*b**2 + 15*b - 12. Let h be n(w). Round h to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752313042 a multiple of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-330)\/(-3575)*10\/6 - 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3075994?\nAnswer: 2, 1537997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5280 divided by -635\nAnswer: 1056\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2790*f**2*g + 8*f**2 + 3*f*g - 12*g + 522 wrt f.\nAnswer: 5580*f*g + 16*f + 3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnwnnttnntnwn. What is prob of sequence ttnn?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 436 - 298*t**2 - 395*t + 290*t**2 - 437 in the form n*t**2 + k + i*t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j + 3*y - 30 = 0, 4*y - 48 = -5*j. Suppose 5*v = -j + 13. What is the tens digit of ((-129)\/(-3))\/(0 - v - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(1700) + sqrt(1700))*4 - ((sqrt(1700) - (sqrt(1700) + -1)*-4) + -1))**2.\nAnswer: -16340*sqrt(17) + 3143661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1100 + 0.14\nAnswer: -1099.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 6065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 9:04 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1554 and 31\/4446078?\nAnswer: 164504886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-130)\/8736*18?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**3 - 8*o**2 - 3*o + 40. Is 100 a factor of q(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -9 - (20 + -26)) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*g + 2 = 124*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -395.\nAnswer: 8\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -137059473984 - -0.3?\nAnswer: -137059473983.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**5\/20 - m**4\/12 - m**3\/3 - 3*m**2\/2 + m. Let r be p(-2). Let y(x) = -4 + 4 - 2 + x. Give y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351163.\nAnswer: 433, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 5:20 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 638, 2049, 4776, 9257, 15930, 25233, 37604?\nAnswer: 53481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r - 2 = 2*m - 9*r, 4*m = -7*r - 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4393 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 93107? (a) -0.4 (b) -5\/2 (c) -0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66215865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -376?\nAnswer: -37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-18) - (-19)\/3. Let v = u + 0. Suppose -4*z + 26 = -v. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -40*d + 27953 + 27937 - 55932. Calculate q(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -313*j**4 + 284*j**4 + 550*j**4 + (1 - 1 + j)*(0*j**3 + 2*j**3 + 0*j**3) + j**4 - 4 + 4.\nAnswer: 524*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yry when three letters picked without replacement from {r: 2, f: 1, u: 1, x: 1, c: 1, y: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62428095 and 7245?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2245131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 565518 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11783 + 11785. Let h(r) = -r**3 + r**2 + 2*r. Let l be h(2). Put -11, -3, a, l in descending order.\nAnswer: a, l, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320311210 (base 4) in base 5?\nAnswer: 230103421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 15 = 4*j - 2*s, 2*s + 30 = 4*j. Suppose j + 9 = f. Let a = f - -6. Calculate the highest common factor of 10 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7)\/t**(-1))\/((t**(-1\/3)*t)\/(t*t*t**(2\/13)*t))*(t*t\/((t*t**0*t)\/t))**(31\/2)\/(t**(-1)\/t)**(-1\/7) assuming t is positive.\nAnswer: t**(1481\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, -17, 4, -5, 1652 in increasing order.\nAnswer: -17, -11, -5, 3, 4, 1652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1\/106 (c) -16 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 468019879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 8*i - 3*i. Let w be ((-96)\/20)\/(i\/(-40)). Let z = w - -32. Solve 2*y + h + 1 + 11 = 0, 5*y + h + 24 = z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4626000 rounded to the nearest 100000?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.0624821 to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 5:34 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(891) - (-3 + sqrt(11) + 0 + sqrt(11))**2)*-4.\nAnswer: -156*sqrt(11) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -14. Let d = -112 + 124. Calculate the remainder when h is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 35.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**2 + 13*n**2 - 47*n**2.\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/20)\/2*13 - 3. Suppose 4*l + 20 = -l, 4*t = -2*l - 12. What is the nearest to a in -0.2, t, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29893, 239074, 806971, 1912942, 3736345, 6456538?\n\"Answer: 29893*b**3 - 70*b + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210111011001 - -21?\nAnswer: 1210111011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxgxgx. What is prob of picking 2 x and 1 g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/334336008 and -26\/8987?\nAnswer: 3677696088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2\/3 (c) 0.1 (d) 5 (e) -3 (f) -36\/11 (g) 1\/672\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*h*v**3 + 3*h*v + 103*h wrt v?\nAnswer: -30*h*v**2 + 3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -56915*w - 450. Let j(k) = 3348*k + 27. Calculate 50*j(q) + 3*r(q).\nAnswer: -3345*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.095 and 7.\nAnswer: 7.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l + 24 = -156 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 52?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 5*v**2 - 1. Let x be j(5). Let d be x + (1 - 8\/4). Let r be 1\/(1\/(-4)*d). Solve -16 = 2*z + r*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1680 + 1685. Solve -3*j + x*k + 5 = 0, 5*j + 2*k + 37 - 4 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 21*k**2 - 4 - 5*k**3 + 7 + k**3 + 13*k + 1. Let t(u) = u**3 - 5*u**2 - 3*u - 1. Let h(s) = -2*r(s) - 9*t(s). List the prime factors of h(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3 = 3*u + 2, 21 = u - 5*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 0)*(-10 - -11) - -12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 5889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*f + 4*f + 278*f as w + t*f and give t.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-704)\/(-48))\/((-44)\/814 + (-830)\/(-1665))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5951 + -3184. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 0.4. Let w = 161 + -164. What is the closest to 1 in -5, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66489597.1 - -0.0427?\nAnswer: 66489597.1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c**2 + 89*c - 27. Calculate l(-11).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 s when three letters picked without replacement from {l: 4, c: 2, s: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(-f**2 + 0*f + 0*f)*(-3*f**2 - 2*f**3 + 3*f**2) - f**5 + 2*f**5 - 2*f**5.\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a - 0?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + -4*(sqrt(9)\/sqrt(3) + sqrt(3))) - ((sqrt(432) - -2*sqrt(432)) + -3 + (sqrt(12) - (sqrt(12) + (sqrt(12)*-1)**2))).\nAnswer: -28*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 917314998?\nAnswer: 2, 3, 152885833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-93968)\/(-16780)*(-5)\/1\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-54))\/(28\/42). Which is the closest to 0.1? (a) 3\/7 (b) g (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.047 (b) -4427 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 98998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1584) - (-1 + sqrt(1584)))*2)**2 + (0 + sqrt(1331))**2 + sqrt(99)\/sqrt(81) + -5)*-3.\nAnswer: -3990 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = -0. Solve 23 = -3*w - 4*r, -2*w + 2*r - 7 = j*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/4))\/(l\/l**(-2\/9)))\/((((l\/(l*(l\/(l*(l**(-6)*l)\/l*l))\/l))\/l)\/l*l)\/l*l**(-1)) assuming l is positive.\nAnswer: l**(253\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 13*n**2 - 170*n + 512. Give a(3).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.19 - 0.19. Sort 3, l, -2.\nAnswer: -2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*1*(-10)\/16\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30243 (base 5) in base 14?\nAnswer: 9d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l. Let y(d) be the first derivative of -2*d**3\/3 - 9. Calculate m(y(x)).\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sull. What is prob of picking 1 l and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -35\/2. Let u = 16.5 + -17. Which is the nearest to x? (a) u (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -4. Let n be -3 + 3 + a + 2. Solve -5*l + 18 = n*b, 0*l = -4*b + 3*l - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 258 - 256. Let h(r) = -31*r + 64. Let c be h(q). Let s(x) = 17*x - 2. Give s(c).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634*q = -631*q + 27 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-19)\/p)\/p)\/((p\/(p**8*p))\/p) assuming p is positive.\nAnswer: p**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138377, 554241, 1247357, 2217731, 3465369, 4990277, 6792461?\nAnswer: 8871927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-116)*192\/(-864)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z - 15. Let i be r(-9). Let a(l) = 34*l - 23*l - i*l + l**2 + 1. What is a(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -3, 2\/13, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:45 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 21, 1, 1\/2, -5, 288 in decreasing order.\nAnswer: 288, 21, 1, 1\/2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s + 6 - 6)*(-2*s + 3*s + 0*s) + 3 - 206*s**2 - 25 + 22 + 2043*s**2 as l*s + p + y*s**2 and give y.\nAnswer: 1841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 15. Let j be w(-10). Suppose -2*n - 5*l = 0, -n - 1 - 4 = j*l. Let y(z) = -z**3 + 5*z**2 + z + 3. Give y(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j + 1. Suppose 3*u - 2*r + 3 - 8 = 0, 5*u + 2*r - 3 = 0. Let y be g(u). Find the first derivative of -2 + 2 + y + k**2 - 2 wrt k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -39467277?\nAnswer: -39467277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2376.518 + -2365. Let y = 0.218 - h. Round y to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqyg when four letters picked without replacement from gggyryqqggg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yimt when four letters picked without replacement from {i: 6, y: 1, t: 1, m: 1, u: 3}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 0 = 4*n + 2, 0 = n - 5*m - 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324114 (base 5) to base 4.\nAnswer: -2232113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 886*t - 913*t + 13581. Solve 509*g - t*g = -24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 12, -3363 = -5*s - 5*p - 3333 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 12:12 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 52.3. Let k = u - 47. Let g = 3.2 - 0.2. Sort g, 2, k in increasing order.\nAnswer: 2, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*r + 13 = 0, 14*m - 19*m = 5*r - 5. Suppose 0 = -s - 2*s + 3. Calculate the remainder when m is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3790 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2485 and 94927?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12584869 is divided by 856.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (5 + -9))*(-6)\/(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 39553*d - 118735. Give t(3).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36066642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5278*c**2 + 561*c**2 - 146*c**2 + 1331*c**2.\nAnswer: 7024*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 2. Let f be j(-4). Solve -12 = -5*w + f*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 40, -4, -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 62746 (b) 8.5 (c) 4 (d) 0 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/(-15) - -2)*5. Let u = a - 7. What is the units digit of (56\/35)\/(u\/(-70))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slsibhshbbbibbihil. Give prob of picking 1 s and 1 b.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from {k: 4, m: 1, d: 2, g: 2, l: 1, c: 2}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21 and 0.38068751?\nAnswer: 21.38068751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -177, -172, -155, -120, -61, 28, 153, 320?\n\"Answer: d**3 - 2*d - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 9 + -8 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 3*w + 5. Let q(f) = 4*f**2 - 9*f - 15. Let t(m) = 2*q(m) + 7*s(m). What are the prime factors of t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 96558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45883*h - 91790*h + 45907*h - 2*h**2 + 2*h**2 + 5*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 21. Give o(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 + 224 + 247 = -35*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2175138840 to the nearest integer?\nAnswer: 46638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 696335338, 1392670674, 2089006010, 2785341346?\n\"Answer: 696335336*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 6*s + 17. Is 7 a factor of l(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19634?\nAnswer: 2, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**2*t**3*v**3 + 2*s**2*t**3*v**2 + 15*s**2 - 4*s*t**3*v + 10*s*t**2*v**3 + t*v**2 wrt v?\nAnswer: 12*s**2*t**3 + 60*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 696 - 702. Suppose 0 = -4*j - 2*x - 294, 2*x - 14 = 2*j + 124. Let w be 6\/(-4)*(-16)\/j. Put 0.2, q, -3, w in descending order.\nAnswer: 0.2, w, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-21))\/((-21)\/(-126)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7289 + -2500. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6*1 - 16\/30)*(193 + -193).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2635*z**2 + 263*z**3 - 132*z**3 - 133*z**3 + 2635*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 2*g - 5*n, 0 = 2*g - 0*n + 4*n - 52. What is the remainder when 62 is divided by g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 4*c**2 + 4*c + 6. Let m be n(5). Let o be 1\/(0 - (m + 0)). Suppose 13 - 1 = 3*l + 4*r, -2*r = 5*l - 20. Sort l, 5, o in increasing order.\nAnswer: o, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gig when three letters picked without replacement from lggglliggglliigi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/4 - 1\/(-4). Suppose 3*i = -y + 106, 138 = -i + k*i + 2*y. Suppose -17*c - 123 = -157 - 306. What is the remainder when i is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12230323211 + 1?\nAnswer: -12230323210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/2 - (-38)\/12)*3. Suppose 69 = -8*y + s*y. Let z = y - -105. Is 25 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120170*u + 122093 with respect to u.\nAnswer: -120170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/12*2*-6. Let n = -60 - -73. Suppose 5*c + 4*u = -n, u - 28 = 5*c - 0*u. Sort 3, b, c, 5 in ascending order.\nAnswer: c, b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 + 274 = -50*z + 4 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-172)\/(-129)*255\/(-10).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and -87387.\nAnswer: 2097288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**2 + 18*w + 4. Let t(f) = f. Let i(c) = -s(c) + 4*t(c). Let q be i(-3). Solve 2*r + q*l + 4 = -0*r, -r - 4*l = 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.13 and -0.499?\nAnswer: 0.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let p(s) = -2*s**2 + s**2 - 4*s**2 + 6*s**f - 4. Determine p(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115515*i**2 + 462290*i + 920 = 0. What is i?\nAnswer: -4, -46\/23103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 0.5 (b) 2 (c) -3 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*9\/((-945)\/(-30))*84\/(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -90, -166, -324, -594, -1006?\nAnswer: -1590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -121231, -4, -1\/3, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o - 28 = -4*d, 0 = -o + d - 1. Suppose -5*s = -4*k + o*k - 628, 0 = 5*s + 3*k - 616. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 253312952.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2 and 79\/57206?\nAnswer: 57206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50658696 and 216.\nAnswer: 50658696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24834319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/5 + 16*r**4 + 1597*r**3\/5 - 238*r**2\/5 - 928*r + 640 = 0.\nAnswer: -40, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 - 961 = -197*l + 118. Suppose 10 + 6 = 2*f. Solve -l*i = -f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.8658467 plus -2.52?\nAnswer: 54.3458467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -60?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 10*k**4 - k - 8*k**4)*(k + k + 2*k)*(-5 + 2 + 5).\nAnswer: 16*k**5 + 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1209*b + 114. Let r(u) = -135*u + 12. Let p(d) = -4*c(d) + 38*r(d). Let f(t) = -20*t. What is p(f(l))?\nAnswer: 5880*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1154605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -186?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 4, -56.\nAnswer: -56, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -105984887 - -4992?\nAnswer: -105979895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3527242 - -0.191.\nAnswer: 0.5437242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - (-3 - -5 - 5). Let g be -1 - (-2)\/(p + 34\/10). Solve g*d = -d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9592 is divided by 2394?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + g**2 + 5*g - 1. Let o be x(3). Let b(w) be the first derivative of -w**3\/3 - 5*w**2\/2 - 2*w - 1. What is b(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.8 (b) -4 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2350 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o + o - 7*o - 2. Let g(i) be the second derivative of 2*i**3\/3 + 4*i**2 - 2*i. Let u be ((-3)\/(-1) - 1)\/1. Calculate u*g(q) + 9*l(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 3*x. Let z be n(-4). Suppose -2*t = z*q - 20, 2*q + 1 = t + 7. Suppose -4*w - 2 = -3*l, -6 - 4 = -4*l - t*w. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1856 is divided by 45?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q - 16. Let o = 2 - 8. Does 12 divide (-76)\/(-6) - q\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*t - 4626, t - 10 = -4*t. Suppose -3*w = 15, -2*v + p - 311 = w. List the prime factors of v.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/22)*r\/(r\/r**17) assuming r is positive.\nAnswer: r**(373\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -4. Let g(q) = -q**3 + 2*q**2 + 2*q. Let j(f) be the first derivative of -f**4\/4 + 2*f**3\/3 + f**2\/2 + f + 9. Let t(y) = u*g(y) - 3*j(y). Give t(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27215?\nAnswer: 5, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416868958 is divided by 480.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 15*x + 19*x = -15, -4*p + 4*x = -20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-57 - 40) - 51?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -587 - 16085. What are the prime factors of i?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 14) to base 6\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 67. Suppose f = -q + 5 + 17, -4*q = -4*f + s. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -2*j. Let v = -9 + 12. Let t = v - j. Solve 5*m + t*q = -13, -5*q = 5*m + 7 - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3*t + 8, 0 = -4*t - t - 3*l - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*h - 50, 2*q = 126*h - 124*h + 4. Solve -35*n + q = -28*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2\/3*-3). Let m(a) = a - 1. Let c be m(5). Let v = c + j. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6*y = -y - 1, -3*y - 21 = 3*j. Suppose 10*a = -3*a + 299. Let d = a + j. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3*v + 7*v + 5*v - 3*v to the form o + c*v and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1247.1 - -1317. Let v = h - 70. Let p = 1.1 + -0.8. Which is the closest to -1? (a) p (b) v (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1575?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (2 - 14) - (376\/(-38) - -5).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 9 = 11. Suppose -2*a - d*z + z + 15038 = 0, a = -5*z + 7519. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -20304204042?\nAnswer: -20304204034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3581420819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*z - 2, 3*z + z + 4 = -3*k. Suppose -z*h + 17 = 5*w - 14, w - 3 = 0. Suppose -5*f + 3*o = h*o - 20, 5*o + 30 = 5*f. Is f greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2 - 16\/((-56)\/14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(288)\/sqrt(2))*-4)\/(-1*3*sqrt(7) + -1*sqrt(700)).\nAnswer: sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17913547*g**3*l**2 + 4*g**3 - g**2*l**4 - 21*g**2 - 3*g - 290 wrt l.\nAnswer: -35827094*g**3*l - 4*g**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*(-93 + 0 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22221221002 (base 3) in base 9?\nAnswer: 287832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, 7, 0.5, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 51.029. Round v to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-63)\/(-6))\/(-3)*-2. Suppose 19*y + q = 672. Suppose 369 = 4*t - 51. What is the greatest common divisor of t and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 981701386*n + 1269398844 wrt n?\nAnswer: 981701386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 687 in -0.4, -12, 5\/16, -0.1?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v**2 - 19*v**2 + 26*v**3 + 16*v**3 + 26*v**3 - 69*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 8*n - 13. Let p be z(-9). Let f = p - -2. Is f at least -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -51, 0.24, 2, -9\/133?\nAnswer: -9\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 2*o - 9*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 358823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 1. Let z(s) = -s**2 - s + 1. Let o be z(-2). Let h be b(o). Solve w - 15 = 4*a, -3*a = -5*a + h*w - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 18*o + 40475 = 13*o, -2*h + 4*o = -16180. What is the highest common divisor of h and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -280705, -2 in descending order.\nAnswer: 4, -2, -3, -280705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 99, 208, 319, 432, 547, 664, 783?\n\"Answer: m**2 + 106*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*-1*(-3 + sqrt(13) + (sqrt(117) - sqrt(13))*-5).\nAnswer: 18 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 21 = -4*x, 5*x - 3*n = -7*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 1 - 7. Let x = -6 - -13. Let o(w) = w**3 - 8*w**2 + 7*w + 2. Let m be o(x). Solve 0 = m*f + c - 1, k*f - c + 3*c = -4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + sqrt(1300) + 3 + 1 - (sqrt(1300) - -2*sqrt(1300))*6) + (-4*sqrt(364)\/sqrt(7))\/(sqrt(448)\/sqrt(7)))**2.\nAnswer: -1288*sqrt(13) + 336989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4692 divided by -6?\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006959 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8710 and 35295.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**5\/2 - 2463*q**4 - 2466*q**3 + 2463*q**2 + 4929*q\/2 = 0.\nAnswer: -1, 0, 1, 1643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o. Let n(j) = 54*j**2 + 414*j - 621. Let q(k) = 2*k - 3. Let r(v) = -6*n(v) + 1242*q(v). What is r(y(z))?\nAnswer: -2916*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6103 and 4696.\nAnswer: 10799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 28*i - 73*i + 6 + 399*i.\nAnswer: 354*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbz when three letters picked without replacement from {d: 1, z: 3, a: 2, b: 3, s: 3, n: 2}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. What is the closest to -0.1 in 0.5, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + -80. Let i = -13 - j. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 85. Which is the smallest value? (a) j (b) -1\/4 (c) -2\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12122221 + 10?\nAnswer: 12200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 9, 11 in decreasing order.\nAnswer: 11, 9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1322780.\nAnswer: 2, 5, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2983*t**5*x**2 + 2*t**5 - 2*t*x**2 - 8*t*x - 1804*x wrt t?\nAnswer: -59660*t**3*x**2 + 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 60969, 121897, 182827, 243759, 304693, 365629?\n\"Answer: g**2 + 60925*g + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -479432204*u*y**3 + 567041*u*y**2 - 283*y**2 wrt y.\nAnswer: -2876593224*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58025891.\nAnswer: 7, 11, 753583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**13*v)\/v**(1\/3))**(3\/26))**21 assuming v is positive.\nAnswer: v**(861\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-15))\/(((-112)\/(-19208))\/((-12)\/(-7)))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 5*i + 10 = 0, 2*i - 1 - 3 = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6*(94 + 8 + -3). Let l = 110 + w. What is the highest common divisor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10478517 + 1225535 = 116*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3100 = 2*s + 6*h, h + 3128 = -8*s + 10*s. Let t = s + -3155\/2. Let r = 169497\/22 - 7700. Find the common denominator of t and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v + 3. Suppose k - v*k = -2. Solve d + 12 + 1 = 5*p, 0 = -d - 2*p + k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2218695 is divided by 73947.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -17*i + 1. Let q be v(-1). Let a be (-4)\/46 + 8 + (-34976)\/(-184). What is the greatest common divisor of a and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.1 - -19. What is the smallest value in -3, m, -4, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 343 + -342. Put -0.14, a, 5 in increasing order.\nAnswer: -0.14, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-250)\/(-40)*(-5320)\/(-950)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/3 - 1622114*w**3\/3 - 657815079361*w**2\/3 - 438541764128*w - 219270611712.\nAnswer: -(w + 1)**2*(w + 811056)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 96039523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 8 + 3*g**2 + 4 - 12*g. Let v be a(10). Which is greater: -7 or v?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 4*s + 4. Let r be (0 - (-27)\/12)*520\/78. Let p(u) = 5*u**2 - 15*u - 15. Let h(i) = r*x(i) + 4*p(i). Let a(z) = -57*z**2. Determine h(a(g)).\nAnswer: 16245*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = t - 6. Suppose -3*w + 80 = 4*x + 19, -5*w + 3*x + 150 = 0. Calculate the highest common divisor of t and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11*r. Let b = 1657 + -1653. Let y(j) be the third derivative of 0*j + 0 - 1\/12*j**b + 2*j**2 + 0*j**3. What is y(l(f))?\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -1 - -10) + (-182 - -191).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 13 = -27 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -8. Let h = t + 16. Suppose -3*s + 16 = h*i - 11, -3*s + 3 = -i. Solve -3*m = -i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16174421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26.7107772 and 0.4?\nAnswer: 26.3107772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 31\/((-4)\/(-4)*(1 - 2)). Is t >= -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/8 + -2)*-8. What is the greatest common factor of j and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 37 = 30*i - 105, 3*i - 2*c - 6 + 5 - 6 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 2*d**3\/3 - 2*d - 23. Let b = 10 - 8. Let x(h) = -h**2 - 9*h**b - h**3 + 2*h**2 + h + 9. Determine 9*s(v) + 2*x(v).\nAnswer: -2*v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 66 = u. What is the remainder when u is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 8309145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 35. Suppose 16*l = q*l + 80. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 80*a**2 - 19*a + 1315. Is h(82) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16801624, 33603249, 50404878, 67206511, 84008148, 100809789, 117611434?\nAnswer: 134413083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, b: 3, u: 3}. What is prob of sequence bubu?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5472?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 2. Suppose 2*f = -t + 4, 0*t = 5*t - y*f + 10. Let h be -2*(9\/6 + t). Round h to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854.5147ng in kilograms?\nAnswer: 0.0000000008545147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 187663143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-10 + 0) - (4 - (-3 + 18))) + 12?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -302*n**2. Let y(z) = -2*z + 42. Calculate k(y(r)).\nAnswer: -1208*r**2 + 50736*r - 532728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 90 + 2. Calculate the greatest common divisor of 737 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 - 13 - -3*1. Put -30, 4, p, 5 in increasing order.\nAnswer: -30, p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 1\/6 (b) -4\/11 (c) 1\/5 (d) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r. Suppose 3*a = j - 4*j + 165, -4*a + 3*j + 185 = r. Calculate the greatest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**4 + 3*r**2 + 3. Let a(k) = k**5 - 6*k**4 + 7*k**2 + 7. Let y(w) = -3*a(w) + 7*f(w). Find o, given that y(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1074 divided by 2\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**2 - 5764472*q + 9367693?\nAnswer: 2*q - 5764472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2346 - 704. Let m = -33 + 42. What are the prime factors of b\/14 + (1 - m\/7)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*u + 22, 0*s + 3*s - 9 = 3*u. Let w(c) = -13*c**3 + 2*c**2 + 5*c - 3. Let v be w(s). Let p = v + -96. Solve 3*j - p = 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 9. What is the smallest common multiple of 1 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 0*x**4 + 0*x**6 + 26*x**2 - 3 + 135\/8*x**3 + 0*x - 3\/8*x**5 + 1\/168*x**7. Factor m(t).\nAnswer: 5*(t - 3)**2*(t + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429, -501, -579, -663, -753?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5*m + 14 = 0, -3*m + 478 = 3*s + 457 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24445 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2 - 2 + g - 2 + 0*g. Calculate the remainder when x(13) is divided by 20\/8*(-4)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186556 is divided by 2870?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -562107 (base 12) to base 9\nAnswer: -2521247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 88 = -2*x. Let p = x + -36. Suppose 4*c - 2*o = 768, 5*o = -p - 15. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + j - 26147, -5*c + 32715 = -36*j + 31*j. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10630 - 6151. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - 6 + 6 - 8*t**2 + (t**2 - t**2 + t**2)*(-2 - 1 + 1)*(19*t**3 - 2*t + 8*t**3 + 2*t**3).\nAnswer: -60*t**5 + 4*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616*m - 10920 = 224*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*sqrt(76) - sqrt(76))*-3)**2*3 + ((sqrt(76) - (-4 + (sqrt(76) - (sqrt(76) + 1))))**2 + -4)*3.\nAnswer: 60*sqrt(19) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**3*t - k**3 + 5*k*t + 190*k + 8796*t wrt k.\nAnswer: -6*k**2*t - 3*k**2 + 5*t + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 11. Suppose 1719 = 3*z + g, 5*g = 3*z + g - 1734. Let h = z + -531. Calculate the remainder when h is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63259 + 54?\nAnswer: 632b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 746*r + 27 = 745*r + 2*t, 5*t = -r - 10 - 3 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121067.7 + -121068. Let v be -1 + (-22)\/(-26) - 0. Which is the biggest value? (a) v (b) 0.3 (c) -20 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18\/731 + -1336\/5117. Which is the closest to n? (a) -4 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -19*z - 52. Let i be h(-3). Let v be (-5)\/(-100)*8*i. Solve -9*m = -v + 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*w + 162*w - 49 = 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11.22388*5\nAnswer: 56.1194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 8*l**2 - 4*l - 2. Determine z(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 2, w: 1, m: 1, e: 2}. What is prob of picking 1 f and 1 e?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-28))**22*a**(-13\/6)*a*a*a\/a**(-1\/33))**(-2\/13) assuming a is positive.\nAnswer: a**(1041\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*h - 10*r, 16862 = -3*h + r + 16828 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 8 = -4*s, 3*s - 2*k + 24 = -2*s. Let i = -27 - -22. Put 1, s, i in descending order.\nAnswer: 1, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -11. Suppose -3*j - 4*u + 6 = 0, -4*j + 10 - 2 = 4*u. Suppose -6 = -w - 2*k - j, 4*w = 5*k + f. Calculate the lowest common multiple of w and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnebfynbxxey. What is prob of picking 1 n and 2 e?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0*l)**41*(l\/(l\/(l*l*l**(-2\/7)*l*l))*l*l)**49 assuming l is positive.\nAnswer: l**362","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*f**4 - 335*f**2 - 73156 - 23*f**3 + 2*f + 73156 wrt f.\nAnswer: 552*f - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 1352?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -544*1085\/(-310)*(-2)\/(-56)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*u - z + 51, -2571 + 2623 = -4*u - 4*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -80884\nAnswer: -2\/20221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 79712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-72)*-1)\/(-2*3\/144)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -135 > -137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.02 + 102.42. Let j = 88.09 - m. Let c = j - 0.19. Round c to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184 and 4706?\nAnswer: 432952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1179 and 262?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/371571 and 47\/75.\nAnswer: 9289275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43102 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (6 - 4 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (13*-1)\/((-8701)\/(-484) + -18) is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-1 + 1)) + 1 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1957 - (-8*(-5)\/(-10) + 4). Calculate the greatest common divisor of 206 and f.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 653 in 1\/11, -4, 1, 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38813, -99569, -200829, -342593?\nAnswer: -524861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 818882395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17231*k**3 + 0 + 0 + 51704*k**3 - 17245*k**3 - 17229*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1344 divided by -3.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23678, -23633, -23552, -23417, -23210, -22913, -22508, -21977?\nAnswer: -21302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2)**(-2\/23)*p**(5\/3)\/(p*(p**1\/p)\/p))\/(p**(-7)\/(p*p**(1\/2)))**46 assuming p is positive.\nAnswer: p**(27082\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*f*p*w**2 + 23*f*p + 2*f*w**2 - 294*f wrt p?\nAnswer: 33*f*w**2 + 23*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a**2 + 3*a - 6. Let w(t) = -2*t**2 - t + 2. Let r(q) = -c(q) - 3*w(q). Let g(f) = -19*f**2 - 33. What is r(g(y))?\nAnswer: -361*y**4 - 1254*y**2 - 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1016*o**2 + 247*o - 26. Let y(w) = -169*w**2 + 38*w - 4. Let d(b) = -4*s(b) + 26*y(b). Let v(p) = -30*p**2. Calculate d(v(k)).\nAnswer: -297000*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1993744 divided by -706?\nAnswer: -2824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(-7 + (-3250)\/(-465))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 16*g - 8. Determine d(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 1:41 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49649255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2406 - 4752 = 17*d - 61*d - 2390 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 703, 720, 763, 844, 975?\nAnswer: 1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7428894.6 to the nearest 100000.\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*w + 9 = 500*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6145583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/2 + -4 + -2. Suppose -3*t = q*j - 244, -j + 2*t + 3*t = -96. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (8 - 10) - (1 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 + 9867*p\/4 - 895585\/2.\nAnswer: -(p - 9682)*(p - 185)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6*z\/(z**(-1\/6)*z)*(z**(-1\/4))**(6\/19) assuming z is positive.\nAnswer: z**(347\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100675 divided by 5?\nAnswer: 20135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = -6. Let c be (-22)\/(-1 - 1) - z. Suppose 0 = 10*j - c - 111. Solve -i + 3 = 2*d + j, 0 = 2*i - 3*d - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**5 + 165*d**4 - 1955*d**3 + 9375*d**2 - 11000*d - 22500 = 0. What is d?\nAnswer: -1, 5, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3377 = 2*x - 2046, -n + 10891 = 4*x. Suppose -o + 2*o = -x. Let g = o - -10981\/4. Find the common denominator of -7\/6 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1045900 * -57\nAnswer: -59616300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877358 is divided by 129?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-46)\/3 + (-10)\/15. Let v = y + 34. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 - 27*n**2 + 16*n + 43. Let s be t(-14). Is s equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1300) + (sqrt(1300) + 0)*-5 - (-2 + -1 + sqrt(1300) + (sqrt(1300) + 1)*-1).\nAnswer: -40*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 + 23 + -1 - -19) + -15 + -2 + 60?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 22*w**3 - 14*w**2 - 4*w - 6. Let t(a) = 19*a**3 - 12*a**2 - 4*a - 5. Let b(p) = 6*t(p) - 5*u(p). What is the third derivative of b(q) wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 7157?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**4\/4 - 21*r**3\/4 - 27*r**2 + 39*r + 60 = 0.\nAnswer: -4, -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614782 = -2109*b - 3401*b - 9637*b + 233450 for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3201*l**2 + 3*l + 11. What is the hundreds digit of p(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urteuttuurtoeuz. What is prob of sequence ue?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 11. Let x be j(-7). Suppose -x*a - 3*a = -91. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28361, -28088, -27815, -27542, -27269, -26996?\nAnswer: -26723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/10 and 17\/26987?\nAnswer: 269870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 123*h**2 + 2*h + 3. What is the tens digit of z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.194118 centuries to years.\nAnswer: 419.4118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 19 = -53. Let s be 27\/w*2*-1. Let c(h) = s*h + 2*h**2 + 8 - 5 - h**2. What is c(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2\/13 (c) -5 (d) -1 (e) -132610\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -7 + (-13)\/(-1) + 9*3918 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 24*u**3 + 4*u**2 - 35*u + 920. Let c(y) = 5*y**3 + y**2 - 2*y - 1. Let f(a) = -b(a) + 4*c(a). Find the first derivative of f(x) wrt x.\nAnswer: -12*x**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -266.8 + 47.8. Let m = k + -808. Let v = m + 1026.577. What is v rounded to two decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-10) + 1896\/(-15). Let o = 125 + w. Let t be (0\/1 - 30\/(-6)) + o. Calculate the greatest common divisor of t and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*z**3 - 14*z**3 + 95*z**3 - 22*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*m + 2*m. Suppose -m*t + 12 = p, -3*p + 0 = -4*t + 2. Suppose 0 = -p*r + 8, 3*r - r + 7 = 3*s. Calculate the remainder when s is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 5*r**2 + 4*r + 35. Let g be k(-4). Solve s = -p + 6, 0 = -5*s + 2 + g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2 - 517870*b + 2071448 = 0. What is b?\nAnswer: 4, 258931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -109190 divided by -10?\nAnswer: 10919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d1 + -1?\nAnswer: -d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 36*1301655\nAnswer: 46859580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -508 + 562. Suppose w*j - 10080 = 19*j. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.87303793 and 0.4.\nAnswer: 0.349215172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 10*a**2 - 6*a + 1. Let p be z(-9). Let f be 4\/26 + 4\/p. Solve 2*r + 4 = -0*j + 2*j, f = 4*r + 2*j + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d**(-2\/7)*d)\/d)\/d*d))**(-1\/59) assuming d is positive.\nAnswer: d**(-9\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -235, 11, 0, 3, -3.\nAnswer: -235, -3, 0, 3, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 1)*1\/2. Suppose 3*v = -o + 7. Calculate the least common multiple of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1319977?\nAnswer: 659, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.039 + -0.039. Which is the nearest to -1? (a) 0.5 (b) j (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28153593 is divided by 52233?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihhihhhihhhhihhhhh. What is prob of sequence iiih?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1012 divided by -1\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/13*x**2 + 0 - 10\/13*x + 10\/13*x**3 - 2\/13*x**4 = 0. Calculate x.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 7*u + 5. Let p be v(-7). Let d(f) = 5 - p + 2*f. Let g(r) = -5*r. Give d(g(x)).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -2. Let z = -0.167 - 13.833. What is the smallest value in 1, j, z, -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192*f**4\/7 + 144*f**3\/7 - 213*f**2\/7 - 90*f\/7 + 75\/7.\nAnswer: 3*(f + 1)**2*(8*f - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/654 and 19\/225412.\nAnswer: 676236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112 + -80. Let m = -8 - -12. Calculate the highest common divisor of f and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 6*x = -1002. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from yayyryyyarbyal?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.03, -14, 12, -5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 17*z - 15. Let o(r) = 3*r**2 - 25*r + 22. Let s(v) = -5*o(v) - 8*p(v). Find b, given that s(b) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**5*x - 1169*t**4*x - 2*t**3 + 7*t**2 + t*x - 3*t wrt t.\nAnswer: -60*t**2*x - 28056*t*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 w when four letters picked without replacement from {w: 4, r: 2, t: 4, h: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 66 = -0*y - 2*l, -2*l + 83 = 5*y. Calculate the highest common divisor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2633811?\nAnswer: 3, 877937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4504 (base 9) to base 6.\nAnswer: -23221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjsssssj. Give prob of picking 1 j and 1 s.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3052652419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 620587308465 and -0.07.\nAnswer: 620587308464.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1381*n**3*z**2 + 1797*n**3 + 3*n - 186184*z**2 wrt n?\nAnswer: 8286*n*z**2 + 10782*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f + 4 = -3*c, 0 = -f + 4*c + 2. Let t(w) = w + 8. Let m be t(-5). Suppose q - m*j - 16 = f, j + 1 = 0. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*y**3 + 2217710*y**2 - 102562085600*y + 9127495472000.\nAnswer: -2*(y - 92360)**2*(6*y - 535)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 201 * 0.0602.\nAnswer: 12.1002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9)\/g)**(2\/35)*(g**(2\/5))**(-31) assuming g is positive.\nAnswer: g**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 35 = -3*b - 2*b, -2*b = -2*y + 34. Suppose -19*p + 13*p = y. Calculate the least common multiple of 9 and (-27)\/p - 1\/(-2).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149*3\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 8*s + 6*s - 18*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021975134 to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + -125. Let h = -23 - w. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10211 - 113323203?\nAnswer: -120000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -19.2 times -181493\nAnswer: 3484665.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and 0.0522.\nAnswer: -0.005742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246 + 79 + 85 + 5*d + 82.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2 + 1689606*c + 237897369603 = 0. Calculate c.\nAnswer: -281601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 8, -22, -76, -160?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/7*28\/(-21).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 260364 to the power of 1\/2, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**3\/4 + 7*b\/4 - 3\/2 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (35 - 49) - 4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3395691503?\nAnswer: 17, 23, 53, 163861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**5\/5 + 44*d**4\/5 + 40*d**3 + 208*d**2\/5.\nAnswer: -2*d**2*(d - 26)*(d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 33, 79, 143?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2 - (5 + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 + 2*u**5 + 0*u**5 + 32*u**2 - 15*u**5 + 23*u**5 - 25*u**2 + 0*u**5 + 0*u**5 + 2*u**5 + (-2*u + u**4 + 2*u)*(0*u - u + 3*u).\nAnswer: 11*u**5 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 - 2. Let d = -0.2 + y. Let p = -55437 + 55433. Which is the closest to 1? (a) p (b) d (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/14094 and 5\/66?\nAnswer: 155034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phbbgbphhubngbp. Give prob of sequence hgp.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*q - 2. Is 13\/q*(0 - -14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 275 - 22669709735.\nAnswer: -22669709460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 12 = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p - 5. Let k be h(5). Suppose -4*m - 4 = -0*m. Let b be -1 + (1 - m) + -1. Solve -3*n = -b*n + k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6\/5 (b) -34 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 1.69, 0.09, -3.\nAnswer: -6, -3, 0.09, 1.69, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 8:50 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 0. Suppose 3*b + 5 = v*m, 5*m + 2*b - 14 = -2*b. What is the least common multiple of m and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 0.2 (c) 1\/2 (d) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, 5, 2, -3, -10, -19?\n\"Answer: -k**2 + 2*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 7*z**2 + 8*z + 8. Let c be q(8). Let i(d) = -14 - 9 + 27*d - 3 - 5. What is the units digit of i(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1422 and 6681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.025542 and 0.14.\nAnswer: 0.165542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57885?\nAnswer: 3, 5, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000851220882 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107.3572 + -0.4128. Let m = 109 + x. Round m to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/11 and 4\/(-42) - 5329\/33726.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4055 - -4093.14. Let o = -0.14 + u. Let q = o - 36.9. Round q to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, 2\/3, 1\/2 in increasing order.\nAnswer: -6\/7, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 6*d - 4. Suppose 3*k + 12 + 3 = 0. Let m be w(k). Solve -4*f + 4*o - m - 3 = 0, 3*f - 5*o = -9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**3\/6 + c. Let u(k) = 7 + k - 7*k + k + 9*k. Let s(f) = -3*f - 6. Let r(i) = 7*s(i) + 6*u(i). Determine r(h(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16514770 by -1.\nAnswer: 16514770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6884 (b) 954 (c) -7 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2 - (-2 - 1)) + 1428 + -1460\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -336, 16, -3, 6, 4, -2, -7 in ascending order.\nAnswer: -336, -7, -3, -2, 4, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5175 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**4\/24 + 7*d**3\/3 + 13*d**2. Suppose -2*u = -7 - 17. Let h be c(u). Solve 5*z + 15 = h*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8680000 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 18 = -2*n. Solve l + 2*s = -4, 3*s + n = l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 - (-4 - -5)*-5. Solve 0 = 13*c - 9*c + z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5434 = -2*a, 0 = -33*a + 31*a + 5*i + 5450. What are the prime factors of a?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 11*g = -2*n - 42, 3*g - 22 = n for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -8*h - 1. Let m(l) = 4*l. What is 5*m(c) + 3*n(c)?\nAnswer: -4*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*l + 44 = 12, 5*l + 4 = -4*g. Let y(j) be the second derivative of j**5\/20 - j**4\/4 - j**3\/3 - 3*j**2\/2 - j. Determine y(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1188?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 2826*l + 16994. Calculate v(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 17. Let y(n) = 0*n**h + 3 + 5 - 2*n + 4*n**2 + n. Is y(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**3 + 22*m**2 - 4*m - 20. Let i be y(7). Is (23 - -53515)*i\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/7)\/((-2)\/(-12))*38701\/(-5954).\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -240161745 divided by 6?\nAnswer: -80053915\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-6)*2 - -8 - 107. What is the closest to f in 3\/4, -2, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gog when three letters picked without replacement from gggggggggggoggggggg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4242171 is divided by 317?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/6745 and -41\/6745?\nAnswer: 6745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**2 + 2*w**3 + w**2)*(89 - 66 - 105)*(-128 + 273 - 129) as r + g*w + m*w**3 + o*w**2 and give m.\nAnswer: -2624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004046825 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 2*q**2 + 7*q**2 + 4*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxqqavz. Give prob of picking 1 z and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 4. Let g(r) = -1. Let u(x) = 12*g(x) - 3*w(x). Suppose 0 = -0*f + 11*f - 88. Let s(d) = -f*d + 13*d - 13*d. Determine u(s(h)).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -14 - (70 - 64)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 54 = 4*h - 7*h, 0 = -5*k - 4*h - 88. Let s be (-29)\/(-28) + (-4)\/k. Let i = -55\/21 + s. Which is the second biggest value? (a) -4 (b) 0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(6\/11)*a\/(a**(-7)\/a) assuming a is positive.\nAnswer: a**(105\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 5*l = 0, 0 = w + 3*w - 5*l - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 55 + 1121. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 607*l**2 - 75*l - 335. Is k(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 5*c**3 - c**3 + (-c + 3*c + 0*c)*(-159 - 182 - 790*c**2 + 343) - 2*c**3 - 3 + 3.\nAnswer: -1580*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 7) + 5 + 6 - 8 - 16\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1671*(1 - 12\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -2003\/486?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1480225274 and 566?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0*u**3 - 1\/300*u**6 - u**2 - 1\/525*u**7 + 0*u + 0*u**5 + 0 + 0*u**4. Suppose t(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 71 + 2*d**2 - 2*d**3 + 0*d**3 + d**3 in the form b*d + t*d**2 + i + n*d**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x - x)*(2*x**2 - x + x + (-8*x - 12 + 12)*(-8*x + 11*x - 9*x)).\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 9*u - 4*u)*(-184 - 111 + 36) to b + m*u and give m.\nAnswer: -1813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4040*s - 4058*s - 4042*s + 12119*s.\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 37 = 2*o - 11, 2*o = 2*k + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*z - 0*z - 5, 4*o = 3*z - 13. Put 2, -5, o, 7 in descending order.\nAnswer: 7, 2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482196 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 474 + -262. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 507 divided by 169\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -102*d**5 - 143*d**2 wrt d?\nAnswer: -6120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*1*3\/(-210))\/(14595\/48650).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132404361.\nAnswer: 3, 44134787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1213*c - 665*c + 1104*c.\nAnswer: 1652*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*b + 251, 2*b - b = 4*v + 47. Find the common denominator of ((-1)\/(-2))\/(b\/(-2414)) and -47\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 62969 (b) 5 (c) 46 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 506572 and 174.\nAnswer: 1519716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnoncnco. What is prob of picking 2 n?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*22\/(-4356)*(-8)\/6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 29 = 3*a, 6*v - 4*v = -2*a + 18. Suppose v*c = 7*c + 3. Suppose 2 = -c*s - 5*d - 9, 5*d = s - 23. Calculate the remainder when 17 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 6*h**2 + 11*h + 1. Give m(-8).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21185178?\nAnswer: 2, 3, 7, 61, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31a + 23?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1378)\/195 + 3*(-2)\/(-90)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -d + 3*u, -4*d - 2*u + 5*u = 354. Let g = d - -92. Solve -g*c = -2*w - 14, 0 = 3*w + 2*c - 0*c + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**5\/20 + 3*a**4\/4 - 7*a**3\/3 - 8*a**2 + 3*a + 1. Let i be q(-10). What is the highest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 n when three letters picked without replacement from {j: 3, q: 2, n: 6, b: 1}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 12*u - 81. Give o(10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -5*s**4\/24 + 3*s**2 - 2. Let x(t) = t**2. Calculate u(x(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1455 - 1337. Solve 123*s - z*s - 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/18*28 - 4\/6. Solve u*d = -0*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*h**2*p**3 + 14*h**2*p**2 - 46*h*p**2 + 6*h*p - p**3 wrt h?\nAnswer: -152*p**3 + 28*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 1. Let q be l(-2). Let j(o) = -8*o**2 - 9*o + 9. Let m(b) = 2*b**2 + 2*b - 2. Let i(z) = -2*j(z) - 9*m(z). Determine i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.2585360745 - 2152.2584133745. Let d = 2147 + n. Round d to 6 dps.\nAnswer: 0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2093*h**5 + 668*h**4 + 4215545*h wrt h.\nAnswer: 41860*h**3 + 8016*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Let g be l(2). Let p(b) = -b**3 - b**2 - 2*b. Determine p(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 4*g + 2. Let j be x(3). Suppose 0 = -5*o + j*q - 2765, -1107 = o + o - 3*q. What is o rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssspussuupsspp. What is prob of sequence suuu?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 29470\/(-3789) - (-7 + 0). What is the nearest to 4 in x, 2\/3, -5, -0.2?\nAnswer: 2\/3","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 {b: 3, w: 2, m: 4, s: 1, e: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/7 and -1086 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1194\/14095, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from sszzs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 2785\nAnswer: 278.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6*z + 4 = 8*z, 3*j - 12 = 2*z. Suppose 4 = -j*r, -200 - 396 = -2*a + r. What is the highest common factor of a and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*j + 142*j - 138 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 227113 and 9.\nAnswer: 2044017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*m**2 + 40*m**2 + 54*m**2 + 62*m**2 - 199*m**2.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7, -47, -101, -155, -209, -263?\n\"Answer: -54*m + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 5*b + 26 + 273 = 0. Put 3, 1, b, 0, -3 in decreasing order.\nAnswer: b, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 190 + -188.34. Let n = 99.34 + l. Let p = n + -100.99999913. What is p rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 13 + 6. Let a = s + 5. Let w = 227 + -157. Calculate the remainder when w is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4))\/((-6)\/(-8)). Let r be (-1100)\/(-15) - k\/(-3). Suppose -4*o = -r - 106. What is the greatest common divisor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 7506?\nAnswer: 7513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1714*p**3 - 6*p**2 + 29*p + 4. Let a be t(-12). What is a rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**5 + 584*b**4 + 28276*b**3 + 508080*b**2 + 3027600*b.\nAnswer: 4*b*(b + 15)**2*(b + 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14829172019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwwpwppppppppwwwpwp. What is prob of picking 1 p and 3 w?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 + 30*j**3 - 18*j**2 - 8*j**3 + 35.\nAnswer: 22*j**3 - 12*j**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13622 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 - 107*q + 24. Determine d(-32).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 36\/7, 2\/7 in decreasing order.\nAnswer: 36\/7, 2\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 42. Let i = p + 13. Suppose 11 = -2*d + 3*d. Solve -7*u + 2*q = -2*u - d, 0 = -5*u + i*q + 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 105\/30*(12\/21 - 0). Solve -p = f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101222210 - -10?\nAnswer: 101222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607947755.\nAnswer: 5, 619, 196429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 12. Suppose -5*o = 5, -2*o + v + 3 = 2*x. Suppose -4*h + x*j = -225, -2*h + j + 108 = -3. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57836898?\nAnswer: 2, 3, 7, 459023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.79 + -0.19. Let o = g - 1.8. Which is the third biggest value? (a) o (b) 1\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*22\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 611529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/132645 and -46\/433233.\nAnswer: 517713435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (158200\/(-9153))\/(-140)*((-24)\/(-2))\/(10\/2)?\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2.6. Sort -2\/9, r, 0.5 in decreasing order.\nAnswer: 0.5, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/3*5 + -2. Let u be ((-186)\/4)\/(l\/6). Let k be u\/21 - (-13 - -9). Is k smaller than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/(4\/8*-1). Solve -6*s + 3 = -a*s, -s + 1 = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 3 - 6\/(-3). Differentiate c - c - c - 2 + u with respect to c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((403\/26)\/31)\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5738041 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*-36.139\nAnswer: 50.5946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 7, h: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 70695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.86 + -1.26. Suppose -46*y + 132 = -144. Let f be (-10)\/(-24) - (-4)\/(-6). Which is the second smallest value? (a) y (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -84 + -c?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 - 2*v. Let y = 2 - 4. Let r(c) = c. Let x(g) = y*r(g) - u(g). Let h(f) = -76*f + 39*f + 39*f. Determine h(x(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 11:12 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-7 - -8) - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*q + 268 + 23*q - 3*q**3 - 2*q**3 + 4*q**3.\nAnswer: -q**3 + 2*q + 268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5510517\/655 + -8413. Are -1 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*v + 2 + 1 + 43*v - 3.\nAnswer: 299*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Suppose u - 2*u = -r. Suppose n = -2*m + 12, -34 = -u*m - 5*n - 6. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 31. Let q be (-6)\/y - (-130)\/18. Suppose v = -o - 4*v - q, -v - 56 = -4*o. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17 - -20)*30\/(-585). What is the fourth smallest value in 52, b, -0.1, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, w: 2, e: 1, f: 1, o: 1}. What is prob of sequence bwef?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 918 and 207519?\nAnswer: 3735342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(55) + sqrt(55)*1)*5)\/sqrt(5))**2*-6.\nAnswer: -59400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 7*l**2 - l - 3. Let r be a(-7). Suppose -r*o = -7*o + 9. Let g = 566 - 546. Solve -g = -5*p - 4*z, -p - o*z + 4 = -0*z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*r - 18097 = 677. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -8, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 7 - (-1 + -1 + (1 - 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 23*j + 4. Let g(o) = -6*o**2 + 60*o - 11. Let z(q) = -4*g(q) - 11*l(q). Let t(w) = -26*w. Calculate z(t(y)).\nAnswer: 1352*y**2 - 338*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/233156 and -123\/2156.\nAnswer: 1632092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1067133358 rounded to four dps?\nAnswer: 0.1067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29)\/(-319) + (-1)\/11. Let j(s) be the first derivative of 8 + 8\/3*s**3 + v*s**2 + 0*s. Let a(r) = -r. What is j(a(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 16. Let f = 7 - t. Suppose -223 = -3*m - 10. What is the remainder when m is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -17. Let t be (0*1\/(-3))\/(-3). Suppose t = 2*w - v - z, 4*w + 8 = 5*w - 5*v. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + k + 22. Let g be b(5). Suppose 0 = g*x - o - 161 - 11, 4*o = 4*x - 336. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 77*h**2 - 8*h + 6. What is the units digit of b(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43557857 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**4 - 5860*h**3 - 17535*h**2 + 20*h + 23380 = 0.\nAnswer: -1169, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10*(30*-4)\/4. Suppose -d*x + 20*x = -32. Let b(k) = -k**3 - 5*k**2 - 4*k + 1. Let r be b(x). Solve -4 = -5*c + r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 14. Calculate y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 76449 and -1.77?\nAnswer: 76450.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*s + 25. Let a(r) = -5*r - 1. Let u be a(1). Let j(t) = -t**2 - 5*t + 7. Let m be j(u). Sort 5, s, m in ascending order.\nAnswer: s, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 91134310*k - 415273122958805.\nAnswer: -5*(k + 9113431)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68262 is divided by 67834?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/27)*k*k*k**(-9))**(-32))**18 assuming k is positive.\nAnswer: k**(12224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1877 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 88, 91, 104, 133, 184, 263, 376, 529?\n\"Answer: d**3 - d**2 - d + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.882704 millilitres to litres.\nAnswer: 0.007882704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (292\/3942)\/(4\/162).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -112264 * -3.\nAnswer: 336792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 418 and 8450858.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 427*a**3*t - 38084947*a**3 + 5*a**2*t - 307*a*t wrt t?\nAnswer: 427*a**3 + 5*a**2 - 307*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 4*s + l + 35, 2*s + 2*l = 14. Let h = s + -9. What is the remainder when 68 is divided by ((3 + h)*(22 - 3))\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Find the second derivative of v*n**3 - n**2 + 3*n**2 - 4*n - 2*n**2 wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -433, 796, 2839, 5696, 9367?\n\"Answer: 407*j**2 + 8*j - 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1032 divided by -12\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7*g + 2 - 7*g as j*g + q and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28862 is divided by 102.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*r = 12, -5*l = -l + 4*r. Suppose -5*d + 4*u = -2*d - 21, 4*d - 38 = l*u. Calculate the remainder when d is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (sqrt(24)\/sqrt(8) - sqrt(3))**2 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.5 and -959.\nAnswer: -957.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 29. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9509a (base 11) in base 7?\nAnswer: 1114613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcz when three letters picked without replacement from rzzzrrozccrozcz?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b99 (base 15) in base 10?\nAnswer: -16119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -1 + 32831\/6 + ((-920)\/48)\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y**2. Let g = 249 + -246. Let u(l) be the third derivative of 0 - 1\/12*l**4 - 2*l**2 + 0*l**g + 0*l. Give n(u(k)).\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 327 and -223249384.\nAnswer: -223249057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20564479621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*2 + 5)**2 - (sqrt(1584) + 2).\nAnswer: 8*sqrt(11) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a hour?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/94 and -3\/946?\nAnswer: 44462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -83, -113, -123, -107, -59, 27?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -4) + (-2 + -1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.9481 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q**2 - 3*q + 5*q + 1 - 1.\nAnswer: -18*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 511958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 2:02 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 22.2. Let c be 2 + -2 - 2\/4. What is the nearest to c in q, -2, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3 - 7*l**2 + 325*l + 3211 = 0.\nAnswer: -13, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:37 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**2*u**3 + 3*m**2 + 1930*u**3 - 4409*u**2 wrt u.\nAnswer: 6*m**2 + 11580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 225 = 0, 45 = 3*h - 5613436*o + 5613435*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from rfarvnvnarrrc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37918 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 316.5277 centimeters in nanometers?\nAnswer: 3165277000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -163, -141, -119, -97, -75?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/((111\/37)\/((-6)\/(-4))). Let d(w) = w**2 - 10*w + 29. What is the least common multiple of 37 and d(c)?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*o - 23428 = -9052, 4*w - o = 14344. Calculate the remainder when w is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m - 718095 = -6*m. Let l = m + 36770. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 0 - 18\/(-81). Factor -2\/9*c**2 - o - 4\/9*c.\nAnswer: -2*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -307.\nAnswer: 5\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10891498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/2958 and 101\/113170.\nAnswer: 167378430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/2, 0.5, -119?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -74c + 3?\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (-1*sqrt(171)*-1 + sqrt(171))) + sqrt(171) - sqrt(171))\/(sqrt(81)*1).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1069\/40 - 399\/8. Let i = 77 + h. Which is the closest to i? (a) -0.2 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008404893 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -78913.5 to the nearest 1000.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3544342 - -2?\nAnswer: 3544344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**2 - 617440*n - 19061607680 = 0.\nAnswer: -61744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 - -0.14. Let r = -5.98 + o. Let t = -851 - -848. Which is the third biggest value? (a) -4\/5 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -43. Suppose 0 = 3*r - 3, 3*h - n = 5*r - 3*r. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 5. Let f(q) = 2*q + 4. Let w be f(-3). Put z, w, -3 in descending order.\nAnswer: z, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*o + i, 2*o - 4 = 3*o + 2*i. Let s be 1\/(-3) + (-26)\/(-6). Calculate the remainder when 144\/s - (-1 + o) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -423*b + 50665. Determine i(120).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17bca5 - -7?\nAnswer: 17bcac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -1\/10, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - 39 + 39 - r + 2*r + r + (r + r - r)*(-1 + 3 - 1).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 10:52 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*n + 3*n. Solve -3*c + n = -5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 1027 = -271. Let t be 50\/(-18) - (-28)\/s. Let i(q) = q. Let d(l) = -2*l**2 - 4*l + 2. What is t*i(k) - d(k)?\nAnswer: 2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 54. Let g = -13 + z. Let h(n) = -n**2 + 8*n - 7. What are the prime factors of h(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.658 + 0.058. Let w = j + 13.4. Which is the third biggest value? (a) -3 (b) w (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374220 and 1100.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -241 + 127. Let n = 3307\/29 + o. Sort -1\/9, -4, n.\nAnswer: -4, -1\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/5, 22, -0.1, -3, -1\/94?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3445a315 - 4?\nAnswer: -3445a319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*r, 118536*r + 13 = 3*u + 118532*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8603940 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-3 - -40) + (0 - 12 - -1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + 20 + -24?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2, 0.8, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4449973 - 4449970 + 8899943 + 20*f.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3873, -15501, -34905, -62103, -97113, -139953, -190641?\nAnswer: -249195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1396, 7702, 23814, 54634, 105064, 180006, 284362?\n\"Answer: 817*w**3 + w**2 + 584*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 9680?\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.8 in -2, 476\/25, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3819971401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-3))\/((-4)\/(-6)). Let p be (r\/2)\/((-3)\/(-6)). Solve -p*z - o - 1 = 0, -o + 0 + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 = 0, -2*b - 10*i + 29152 = -114138. What are the prime factors of b?\nAnswer: 2, 5, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 + (7 - 22)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 42*k**3 - 41*k**3 + 5 to j*k**2 + a*k**3 + b*k + r and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -14*q**2. Let v(x) = -145*x**2. Calculate v(f(a)).\nAnswer: -28420*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35318476 divided by -1?\nAnswer: -35318476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.5 - 7.7. Let i = -182.8 + g. Let h = -175.00000174 - i. Round h to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l + 1\/4*l**2 + 9 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2170 - -3548. Find the third derivative of q*x - 10*x**6 - 1378*x - 20*x**2 wrt x.\nAnswer: -1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1008)\/28)\/6 - 10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4395*u - 118444 + 12930 = -22770 + 229301 for u.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4 + 21\/6)*-7190)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, k: 11}. What is prob of picking 4 k?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = 23*r - 570. Find the first derivative of -13*i + 80*i**3 - 50*i + r + 62*i wrt i.\nAnswer: 240*i**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*x - 283*x - 1167*x - 78*x - 410*x.\nAnswer: -2173*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4493 - -6.4493. What is the closest to -0.03 in -0.3, i, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.863 + -0.037. Let q = -0.4 - c. What is q rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -275*a**3*p**4 - 4*a**3*p**2 - a*p**4 - 278*a*p**2 - a wrt p.\nAnswer: -6600*a**3*p - 24*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {t: 1, x: 1, g: 2, q: 4, m: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*f. Let u be 0\/1 - f\/4. Suppose -y - 2*z + 19 = -z, -z = u. Solve -d + 1 - 5 = -l, 3*l - y = -4*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-16))\/((-3)\/(-90)) and -51\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4 - 13 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + k = 9, 3*v = -2*v - 4*k + 15. Suppose -d - 18 = -v*d. Suppose -d = 5*s - 4*m, -s - 4*m + m + 2 = 0. Is s < 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzzj when four letters picked without replacement from {t: 5, x: 1, z: 2, k: 1, j: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-7)\/((-56)\/(-64))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 50 = 2*k + 2*k, 4*r = -8. Suppose -4*p + 64 = -3*p + 2*u, -4*p = 4*u - 240. What is the remainder when p is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 25*c - 120 = 0. Solve 7*y - 4 = c*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -6 - -9 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b\/(b**(1\/10)\/b))\/b)*b**(-6))\/(b**(-1\/8))**23)**(-4\/11) assuming b is positive.\nAnswer: b**(161\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 2*w + 0*w)*(725*w - 69 - 1454*w + 731*w) as s*w**2 + d + u*w and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.122 + 19.8. Let j = c + -0.74. What is j rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**3 - 3*m**2 - 9*m + 27. What is the units digit of p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g + 6*g + 8*g in the form q*g + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 11. Suppose p - 3 + 17 = 4*r, 5*r + 3*p - d = 0. Let b be 6*r*(-1)\/(-9). Solve b*h + 4 = -2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 19*l**2 + 11*l + 11. What are the prime factors of n(-21)?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 2*p**7\/105 - 32*p**6\/75 - 3*p**5\/25 + 10*p**4\/3 - 64*p**3\/15 - 262*p - 1. What is z in a(z) = 0?\nAnswer: -2, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*c - 44, -4*x = -8*x - 5*c + 57. Let f = -5 - -7. Solve 0*j = f*j + x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230949 and 1809.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - i**2 + 3*i - 3. Give s(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7353.8015339 - -3.7.\nAnswer: -7350.1015339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from dzvivvvzbvivivii?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67.24 + -22.06. Let n = 89 + s. What is the biggest value in -4\/5, n, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -42 and -40 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q**3 - 21*q**2 - 67*q - 39. Let p(c) = -2*c**3 + c**2 - 3*c - 1. Let g(a) = -3*p(a) + s(a). Factor g(d).\nAnswer: -2*(d + 1)*(d + 2)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.9 - -8. Let r = -3.9 - d. Suppose 14 = -4*f - 5*i, -2*i = 5*f - f + 8. Is f at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36336.23*5.\nAnswer: 181681.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygtyywgwwwg. Give prob of sequence gwwt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 677224061 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35, -77, -119, -161, -203, -245?\n\"Answer: -42*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i**2 + 1. Let o be b(1). Let p be ((-2)\/4)\/(o\/(-7460)). Suppose 6*f - 3*f = 5*z - 473, -4*z = 3*f - p. List the prime factors of z.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5 - 1 = 0. Which is greater: -4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 70*n**2 + 21*n + 214*n**2 - 8 - 99*n**2 + 219 + 97*n**2. Is a(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116416 divided by -428?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42.9727 - -43. Round z to three decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-14)*1\/4. Let z = 0.3 - 2.3. What is the nearest to -1 in w, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + (sqrt(405)*-1 + sqrt(405) + -1)*-2 + 4 + 1 + sqrt(405) + 1 + (2 + sqrt(405))*-3))**2.\nAnswer: -2700*sqrt(5) + 40725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -312.702 rounded to 0 decimal places?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 12*k**2 + 3*k - 1. Suppose 115 + 47 = 9*d. Calculate the remainder when j(2) is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 + 228 + (7 - (5 - -32))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00237558 to five decimal places.\nAnswer: -0.00238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*q - 17, 55*q - 18 = 53*q + 4*x. Let t be (-2923)\/1106 - q\/(-2). Which is greater: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 7\/6 (b) -14423 (c) -1 (d) 0 (e) 3\/5 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33\/22*(-2 + 2*38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -8. Let n(y) = -y**3 + 4*y**2 + 37*y + 451. Let u be n(11). Solve -o*c = -u*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 15573*f - 46728.\nAnswer: (f - 15576)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 91, 198, 345?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*(sqrt(243)*1 - sqrt(243)) - -1*sqrt(243)*1)\/((sqrt(108)*3)\/sqrt(12)*-1))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t + 2 = 0. Let z be 6\/t - (-6 + 3). Suppose 3*q = -z*q + 4*o + 90, -99 = -3*q + o. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + 1*(-2*(sqrt(252)*3 + sqrt(252) + sqrt(252) + sqrt(252)) - (0 + ((sqrt(252) - (sqrt(252) + 3 + sqrt(252))) + sqrt(252) - sqrt(252))))*-6)**2.\nAnswer: -10296*sqrt(7) + 1097877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4152 + 2686. Let l = -563 - r. Suppose 6*q - 9*q + l = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**4\/46 - 458*m**3\/23 + 1377*m**2\/23 - 1378*m\/23 + 10826. Factor t(h).\nAnswer: -2*(h - 1)**2*(h + 689)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 726 + -509. Let g = -214 + q. Solve g*p + 5*w + 7 = -10, -p - 5*w - 19 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1809 = -0*g - g - 3*l, 0 = g + 4*l + 1812. Round g to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from yyaraayy?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 97156, 194406, 291656, 388906, 486156, 583406?\n\"Answer: 97250*s - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59501721 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -6*a + 385. Suppose 3*s + 2*s = a. Let i = -11 - -17. What is the lowest common multiple of i and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*v**3 + 101*v**3 - 51*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -60*g + 255 + 55. Which is the fourth biggest value? (a) -0.2 (b) g (c) 32 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/28 and 79\/56798?\nAnswer: 113596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - o = -51 + 45, 7*g - 2*o - 28 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 898643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 204\/30)*-1*(-13 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -40, -91, -172, -289, -448, -655?\n\"Answer: -n**3 - 6*n**2 - 2*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 1, g: 1, s: 1}. Give prob of sequence fs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188232?\nAnswer: 2, 3, 11, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) 0.259 (c) -5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*d**2*t**4 - 586*d**2*t**2 - 3*d*t**5 wrt t?\nAnswer: -192*d**2*t - 180*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/((-4524)\/680) - (-1)\/(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + r. Let t be w(-1). Let a = 116 - 116. Solve a = 2*g - t*g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s - 2. Let x be w(1). Suppose -3*h - 2*f + 69 = -x*f, -5*f = -15. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4311250.82 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 5649 = 2871. Let w = -618 + o. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.149 and 3514.\nAnswer: 523.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -1463938 in descending order.\nAnswer: -3, -4, -1463938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1 - (-8)\/36*9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 142 = -0*c - 2*l, 2*c = -l + 141. Let m = 3024 + -2951. Let n = m - c. Solve -y = -n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101000000110 (base 2) to base 13.\nAnswer: -a64a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1020522 divided by 6\nAnswer: -170087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 163031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2))\/x*x*x\/x**26*x*(x\/x**(1\/6))\/(x*(x**(-14\/9)\/x*x)\/x*x))**(4\/29) assuming x is positive.\nAnswer: x**(-706\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -472599*b**3 + b**2 + 4*b + 60019417 wrt b.\nAnswer: -1417797*b**2 + 2*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t - 4*t - 3*t)*(-4 + 3 - 7 + 0 + 2 - 1 + (-1 + 0 + 0)*(4 - 5 + 2) - 3 + 0 + 2 + 4 - 2 - 4) to the form h*t + a and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10949*s**3 + 21902*s**2 - 8*s.\nAnswer: -s*(s - 2)*(10949*s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13895 bigger than 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -982 - -0.009?\nAnswer: -981.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*s = 280*s + 1187*s + 38425 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -395, -602, -825, -1070, -1343, -1650?\nAnswer: -1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49371 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 6. Let u(y) = 1. Let x(n) = d(n) + u(n). Suppose -4*w + 36 = 4*k, 6*k - 2*k - 4*w = -4. List the prime factors of x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/9097088 and -131\/240.\nAnswer: 136456320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 226000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102927 + 128993270.\nAnswer: 129096197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 8. Suppose 5736 + 82052 = 916*w - 184264. Calculate the lowest common multiple of f(6) and w.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 1035?\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5100636227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5 - 4*i + i + i**2 - 3*i. Let w be m(7). Suppose 3*h + 4*c + 11 = 0, -3*h + 8 = -2*c - 11. What is the highest common divisor of w and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5449243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, -5, 13 in ascending order.\nAnswer: -5, -0.4, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537381, -1075272, -1613163, -2151054, -2688945, -3226836?\nAnswer: -3764727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10)\/b**(3\/4))\/(b**(-3)*b)**5 assuming b is positive.\nAnswer: b**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -27.\nAnswer: 7\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 3*l + 6. Let h = l + 0. Suppose -3*x + 120 = h*x. What is the highest common divisor of x and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tiiv when four letters picked without replacement from {i: 2, v: 2, a: 3, t: 3, y: 3}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30106 (base 8) to base 5.\nAnswer: -343413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 183?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -8 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.467 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 767537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**8\/1680 + r**4\/8 - r**3\/6 + r. Let s(q) be the second derivative of o(q). Differentiate s(d) with respect to d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13528 by -6764.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h = 10. Suppose h*s + 3*u - 1792 = 0, s - 5*s + 2*u = -1438. List the prime factors of s.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*q = j - 182*q - 1, 3*j + 3*q = 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -238 + 236. Let o be ((-1)\/(b\/1))\/((-22)\/(-220)). Solve o*f - 2*j + 15 = -j, -13 = 2*f + j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*a - 2 = -j, 3*j + 4*a - 38 = 0. Solve v - 8 + j = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1380 - 1384. Which is the smallest value? (a) 0.5 (b) -0.094 (c) -1 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61.1 - 69. Let a = 22 + -17. Let t = w + a. What is t rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 9) to base 12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4) - 55\/(-44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*n + 14 = 0, 3*n - 10 = 4*p + n. Let y be 2 + p - (-6)\/2. Let l(q) = 62 - 62 - y*q. Give l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (13 - -6 - 11 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22578, -22046, -21514, -20982, -20450, -19918?\n\"Answer: 532*i - 23110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = -10. Solve 0 = g*m + 4*l + 8, -2*l = -3*m - 7*l - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Let k(j) be the third derivative of -19*j**4\/24 + j**3\/6 - 726*j**2. Calculate -4*a(u) - k(u).\nAnswer: 23*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 2 (c) -258300 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -142 - 3000227?\nAnswer: -3000371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4268368 and 637?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-10 - (-5 + -2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7.6 times 0.079375\nAnswer: 0.60325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -393.82 + -7.18. Let s = i + 350. Sort 1, -1\/8, -0.2, s in descending order.\nAnswer: 1, -1\/8, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l**4\/4 + 5559*l**3\/4 - 199264*l**2 - 4818261*l = 0. Calculate l.\nAnswer: -21, 0, 958\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - -13.04. Let s = i + -21. Let x = s - -13. Which is the third biggest value? (a) x (b) -1\/6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 742547\/(-70) - (-2)\/(-5). Let l = h + 10602. What is the common denominator of 9\/12*(-304)\/24 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 305 + -147. Suppose -159 = 5*a - 5*n + 111, 3*a = 4*n - 162. Let k = c + a. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -171, -338, -517, -714, -935, -1186, -1473, -1802?\n\"Answer: -k**3 - 160*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4691089, 9382167, 14073245, 18764323, 23455401, 28146479?\n\"Answer: 4691078*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = -4*p - 15, -15 = -3*h - 5*p. Calculate the remainder when 18 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 7. Let n be l(7). Suppose n = -3*p + 175 - 1. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 54*f = -87 - 193. Put f, 0, 12 in increasing order.\nAnswer: f, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 0, -5, 586, -4 in ascending order.\nAnswer: -5, -4, -2, 0, 3, 586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08185 - 0.17185. Which is bigger: 24.2 or v?\nAnswer: 24.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 + 221*b**2 - 3621*b + 364. Determine z(-125).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1)\/(-11) - 75739\/9361 - 249\/(-27)?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 12. Suppose -n*r = -588 + 80. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5043\/(-21) - (-5)\/35. Let q be r\/(-7) + (-12)\/42. Let s = q + -21. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280707626 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-458456530)\/3168 - 4*(-9)\/198. Let d = -144714 - o. Calculate the common denominator of -29\/48 and d.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6200 + 30999\/5. Which is the nearest to z? (a) -2\/5 (b) -410 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -525 - -165. What is p rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 22862171.\nAnswer: -6\/22862171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**8\/f**(-1)*(f**2\/f*f*f)**(-50))\/(f**(1\/8)\/(f*f*((f**(2\/5)*f*f)\/f*f*f)\/f))**5 assuming f is positive.\nAnswer: f**(-957\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 72389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + sqrt(19) - (sqrt(57)\/(sqrt(3) + sqrt(3)*-2))**2.\nAnswer: -17 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1503, 3016, 4531, 6048, 7567, 9088?\n\"Answer: f**2 + 1510*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/1)\/((-44)\/(-22))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 - 365\/3. Sort 4, -1, -0.01, g.\nAnswer: -1, -0.01, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -16*x - 16. Let w be y(-1). Let t(h) be the second derivative of 0 - 1\/3*h**3 - 6*h + w*h**2. Let r(j) = 3*j**2. Give r(t(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2755637l?\nAnswer: 275.5637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -22*n**3 - n**2 - 2*n + 5. Let s be x(2). Let a = s + 263. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -11 (b) -2837 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**4*n + 2701*m**2*n**2 + 2191*n**2 wrt m.\nAnswer: 8*m**3*n + 5402*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9184 + -1.7684. Let z = -3 - -3.2. Let g = z - 0. Which is the third smallest value? (a) g (b) i (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 764425.5 weeks?\nAnswer: 462324542400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26368 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 26. Differentiate 1 + 4*h + 6*h**2 - 122 + 5*h - 15*h**2 - l*h wrt h.\nAnswer: -18*h + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 260796816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -220782*t**3 - 141863 wrt t.\nAnswer: -662346*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -358 + -10533\nAnswer: -10891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000201458 to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - 46*v + 29. List the prime factors of o(-24).\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164 and 5?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*m = 3 + 11, 4*m + 20 = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/30*200\/1320. What is the biggest value in p, -2, -17, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29398)\/7 - (-18)\/(-63). Round v to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 384 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 7*i**2 - 2*i - 9. Suppose 2*k + 3*a - 2 + 1 = 0, 25 = 5*a. Let m be c(k). Let j = 2 + -1. Solve -m*w + j = 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 7*t + 4. Let c be x(7). Suppose -p + b + 5 = 2*b, -c*p - 3*b + 19 = 0. Solve -k + 3 = 4*f, 0*f + 2*f - p*k - 6 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - 1 - (-13 - -16). Let f(h) be the second derivative of 0 + 0*h**2 + 1\/20*h**5 + 0*h**4 - 1\/6*h**d - h. What is the second derivative of f(w) wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55043 - -5?\nAnswer: 55052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1781, -2119, -2459, -2807, -3169, -3551?\n\"Answer: -j**3 + 5*j**2 - 346*j - 1439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a factor of 87092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 z, and 1 v when three letters picked without replacement from {k: 2, z: 8, t: 3, v: 4, o: 2}.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -23. What is the smallest value in 17, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57838*r + 57834*r + 23*r**2 - 115670*r.\nAnswer: 23*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11478.86 - 11597. Round q to the nearest integer.\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30cc76 (base 13) to base 2\nAnswer: -100010110111001100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00055972627 to 5 dps.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 432\/(-48)*((-8)\/(-6))\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5 + 2*r - 1 - 3. Determine o(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)\/t)**(-2\/123)*t**8*t**(2\/3))**25 assuming t is positive.\nAnswer: t**(8950\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*(r*r**(-4))\/r*r*r)**(-38)*(r**(-3))**(-39) assuming r is positive.\nAnswer: r**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-850)\/(-51))\/((-1)\/(-3)). Suppose -8*j + b = -3*j. Let s be j\/(-35) + 508\/14. What is the highest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + g - 6, 3*g = -4*s - g + 12. Let w(r) = r**3 + 3*r**2 - 3*r + 4. Let i be w(-4). Solve i = s*b + 7 + 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -1331*j**4\/3 - 294315439*j**3\/3 - 53511810*j**2 - 29188244*j\/3 - 1768984\/3 = 0.\nAnswer: -221123, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 17*r**2 + 16. Let w(c) be the third derivative of 7*c**5\/12 + 16*c**3\/3 - 3*c**2. Let l(t) = -3*w(t) + 5*y(t). What is the derivative of l(g) wrt g?\nAnswer: -40*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**3*o*x**3 + f**3*o*x**2 - f**3*o + f**3 + f**2*o*x**2 + 2876*f**2*o*x - 6*f + 125063*o*x**3 wrt x?\nAnswer: -12*f**3*o + 750378*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 96, 173, 360, 711, 1280, 2121, 3288, 4835?\n\"Answer: 9*l**3 + l**2 + 11*l + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 64 = 2*j, 4*w + 0*w - 54 = 3*j. Let z(k) = 5*k**3 - k**2 - k + 1. Let p be z(1). Solve -i + p*i = -x + 11, 5*i + w = 5*x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -10) + (52 - 91)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/725 and 43\/1150.\nAnswer: 33350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acaa when four letters picked without replacement from {c: 2, a: 18}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -9 - (-1 + 3) - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -89*u + 93. Let h be b(1). Put h, -37, 2, 0 in descending order.\nAnswer: h, 2, 0, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16313*f - 895167 - 785072 for f.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 9:28 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 140154275 a multiple of 3359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 81760199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*i - 5828 = -1616, 0 = 4*j + i - 8449. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/(-12) + (-1)\/4. Suppose -6*o + 16 = -t*o. What is the smallest common multiple of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (89\/2)\/(803\/(-1606)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 19, 32, 45?\n\"Answer: 13*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(637) + -3 + 3 + sqrt(637) + (sqrt(13)*1*4 - (sqrt(468) + (sqrt(468) - sqrt(468)*-2) + sqrt(468))**2).\nAnswer: -11695 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 91572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 + 119.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 - 13*k**2 - 12*k - 24. What is m(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -800088*x**2. Let f(u) = -92*u. What is f(r(k))?\nAnswer: 73608096*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*i + 202, 2*n - n = -5*i + 62. Suppose -3*o + n = -126. Calculate the greatest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5811931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4321528849 to the power of 1\/2, to the nearest integer?\nAnswer: 65738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 - 1. Let b(u) = u**2. Let n(j) = 7*b(j) + 3*o(j). Calculate the lowest common multiple of n(-3) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -446 (c) -1416 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 68 + 51 = b, -t = 5*b - 11. Let u(a) = -a**3 - 8*a**2 + a**2 + 0*a**3 + 2 + 2*a**3 + 8*a. Calculate u(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 2:45 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n + 4*n + 3*n - 8*n - 33. Let y be s(10). Factor p**5 + p**3 - 8*p**2 + 3*p**4 - 3*p**4 - 3*p - y*p**3.\nAnswer: p*(p - 3)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Let n be -3 + 1*(5 + w). Suppose -a = -3 - n. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -20020?\nAnswer: -20101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*(((i\/i**11)\/i)\/i)\/i)\/i)\/i)**26*((i**24*i)\/i*i)\/i**(-25) assuming i is positive.\nAnswer: i**(-288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -3\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, -886 in increasing order.\nAnswer: -886, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -12*8\/3\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b3740 (base 16) to base 14.\nAnswer: -9245a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 - 2.2. What is the nearest to m in -0.5, -2, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 2\/3 (b) 0.9 (c) 33.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + g**2 + 2*g + 3. Let v(x) = 2*x**3 - 17*x**2 + 10*x + 15. Give -5*b(p) + v(p).\nAnswer: 7*p**3 - 22*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1948943 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 299 - 420. Let n = -105 - v. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + 1*sqrt(320) + (sqrt(20) + sqrt(5))*1).\nAnswer: 4 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 equal to 420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 908.5633 and 15?\nAnswer: 13628.4495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.44366 litres to millilitres.\nAnswer: 4443.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 713062266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39881413869\/1829435 - -16243\/27305. Let x = j - 21801. Calculate the common denominator of x and 26\/(-5)*-3 - 4.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*f = 212*f - 7710. List the prime factors of f.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 35. Solve k*d = 3*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 69249, 139517, 209787, 280059, 350333, 420609, 490887?\n\"Answer: v**2 + 70265*v - 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2.6. Let g = 177 + -536\/3. Let f(i) = -754*i - 2264. Let l be f(-3). Which is the third biggest value? (a) w (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*q - 31*i + 29*i, -3*q - 15 = -3*i. What is x in -20\/11*x**4 + q - 8\/11*x + 0*x**2 + 42\/11*x**3 = 0?\nAnswer: -2\/5, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 90803 = 42*r - 45522 - 45501 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.71 + 16.81. What is the second smallest value in 3, r, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 16*k**2 + 216*k - 107. Calculate the remainder when v(-27) is divided by 49.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 243*f - 12762. What is m(-77)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186088 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/9 - 52*i**2\/9 + 53*i\/9 = 0 for i.\nAnswer: -53, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110048 to the power of 1\/2, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 - 27*s**2 - 12*s + 15. Let h be o(-13). Factor -j + 4*j**2 - 61 - 5*j + 52 - j**h.\nAnswer: 3*(j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**3\/6 + 2*b. Let o(p) = -5*p + 0*p + 4*p. Give m(o(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - (-8)\/12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -401, -462, -563, -704?\nAnswer: -885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.001450859 - -0.38.\nAnswer: 0.378549141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5*w + 4)*(0 + 0 + 1)*(2826*w**2 + 2247678 - 2247678) to the form p*w**3 + n + o*w + b*w**2 and give p.\nAnswer: 14130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8508 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 + s**3 - 3*s + 7*s + 22*s**2 - 3*s - 3*s to h*s + x*s**3 + k*s**2 + n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 828*m**2 - 116236*m + 1818573*m + 259052664 + 55939*m + 3150*m**2 + 3*m**3 = 0?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w + 12. Suppose 0 = 9*v - 279 + 207. Give o(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-20)))\/w)\/(w*w**(-2\/23)) assuming w is positive.\nAnswer: w**(416\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -10705?\nAnswer: -10706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/4 + 16366125*b\/2 + 16366122.\nAnswer: 3*(b + 2)*(b + 10910748)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 95205\nAnswer: -380820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5791 + 46423\/8. What is the common denominator of -121\/18 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -245\/4 or -4\/20429?\nAnswer: -4\/20429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*u**3 + 10*u + 8 + 6*u - 7 + 41*u**3 to v*u**2 + h*u**3 + z + t*u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**2 - 1015*p - 2050 = 0.\nAnswer: -2, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*b - 229877 = 28143. Calculate the highest common divisor of b and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one sixths of a millennium?\nAnswer: 82000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 755695 and 15577?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100.77 - -1.23. Let j = -699.9 + 611. Let l = b + j. Round l to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360600 rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, -27, -62, -95, -114, -107, -62, 33?\n\"Answer: 2*u**3 - 17*u**2 + 12*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-5)*63\/72*2\/343.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 3\/4 (c) -3 (d) 3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 143.2, 4, -6, -0.05 in descending order.\nAnswer: 143.2, 4, -0.05, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 + 323 - 5*w**2 - 177)*(-3 + 2*w**2 + 3).\nAnswer: -10*w**4 + 414*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 1931*k - 14 - 14 - 9)*(3 - 3 + 1).\nAnswer: 1931*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 368087 (base 9) in base 10?\nAnswer: 222424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**5\/20 - 23*y**4\/12 - 49*y**3\/6 - 23*y**2\/2 - 54*y. Let g be p(25). Solve 3*b - 1 - g = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13576 - 1670021\/123. Let t = -3\/41 - x. Which is the third biggest value? (a) 4 (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*1*-3)\/sqrt(4))\/(-4*sqrt(294)*2).\nAnswer: 3*sqrt(5)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 330 and 16324.\nAnswer: 5386920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 2 = -4*t. Suppose 11 - 3 = 4*w. Solve t*j - 10 = -5*z - 2, -3*j + z + w = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e7d7 + -46?\nAnswer: e791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(19) + -3 + sqrt(19))**2 - sqrt(76)\/(-2*sqrt(4)).\nAnswer: 28 + 13*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 11*z + 12. Let t = -110 + 122. Calculate l(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -887*z + 479*z + 208*z + 201*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**4\/12 - i**2\/2 - 549*i. Let x(r) = 5*r**2 + 3. What is 12*m(j) + 4*x(j)?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 15 - (-1 + 31)) + (-412 - -427)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 7*m**2 + 7*m + 4. Let l(t) = 6*t**2 + 2*t + 2. Let z = -13 - -12. Let i be l(z). Does 9 divide y(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d - 10*d + 65*d - 1 - 12*d - 17*d - 39*d.\nAnswer: -6*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(96) - (sqrt(96) + 1*sqrt(96))))\/(-2*sqrt(108)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 22 - (12 - (-44 - 7)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1966553169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-seven halves of a meter?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a*p**3 - 1359350*a*p**2 - 66603*a*p - 11*a - 27*p**2 - 111 wrt p.\nAnswer: 18*a*p - 2718700*a - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 6:12 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 2, -1, 1, 35, -7 in decreasing order.\nAnswer: 35, 2, 1, -1, -7, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*u - 553 = 16*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 - -78. Let r be (3\/(81\/(-18)))\/(m\/30). Let u be (-192)\/(-12)*3\/(-4). Sort 1, u, -4, r in increasing order.\nAnswer: u, r, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-5\/12))**(-5\/2))**(-47) assuming q is positive.\nAnswer: q**(-1175\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.99299 kilometers in centimeters?\nAnswer: 3499299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 + 395 - 10*y + 5*y + 2*y.\nAnswer: -3*y + 546","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.12, -38\/37, -0.1?\nAnswer: -38\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-6))\/(l*l**(-3\/16)\/l)*(l\/(l*l\/((l\/(l**(2\/3)*l)*l)\/l*l*l*l)))\/l**(-23) assuming l is positive.\nAnswer: l**(937\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + z - 15 = -0*z, 0 = 5*q + 3*z - 25. Suppose -6 + 31 = q*c. Let m be 4\/(-2)*c\/(-2). Solve -x = 3*y + 2, -4*x + y + 0 = -m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/13? (a) -36619 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 14*w**2 + 10*w + 9. Let y be v(15). Is -66 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*25\/(-10)*-2*5\/(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 176*g + 39447. Calculate m(-224).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -124\/795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -607*i**2 + 4*i. Let r(b) = -4*b**2 - 2*b. What is 2*q(a) + 4*r(a)?\nAnswer: -1230*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) + 3\/6. Suppose 5*w - 3 - 2 = p. Let y be (w*(0 + -2))\/(-1). Solve -5*t = z + 24, 2*t + 2 + 14 = -y*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**4\/9 + 240*f**3 = 0.\nAnswer: -540, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/18)\/((-4880)\/17568)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19239415*k**3 + 19239972*k**3 + 29 - 29.\nAnswer: 557*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-25))\/((-189)\/(-315)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/57722 and 13\/30380.\nAnswer: 577220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84420 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*h + 33 - 10, h = -5*n + 11. Let b(o) be the third derivative of 1\/24*o**4 + 0 + 3*o**2 + 1\/2*o**3 + 0*o. What is b(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*r**3 + 20*r**3 - r**2 - 11*r**2 - r**2 wrt r?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.57474 months in years?\nAnswer: 8.547895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**3\/6 + 2*c**2 + c. What is the units digit of o(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/51 (b) 0.3 (c) 0.09 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t = 4*l - 108, 0 = -2*l + 3*t + 54. Let c = 14 + l. Suppose 2*u - c = 5. What is the remainder when 44 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, -17, -37, -63, -95?\n\"Answer: -3*c**2 - 5*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26440791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 10:03 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47200*l**5 + 2*l**2 - 2326.\nAnswer: -2832000*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 5*d**2 + 6. Let n be p(-2). Solve -q + 12 = -4*o + n*q, -2*o - 6 = 2*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2 (c) -20.133 (d) 6 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373258 is divided by 2576?\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165.7 + -161.7. What is the smallest value in 2\/5, 358, -2\/7, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -15, -1300, 3 in descending order.\nAnswer: 3, -4, -15, -1300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:07 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2373148 is divided by 237300?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 943337869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (226*x - 269*x + 240*x)*(5*x - 16*x - 14*x**2 + 11*x).\nAnswer: -2758*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -66073, -66072, -66071, -66070, -66069?\n\"Answer: i - 66074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25573295 by -15565.\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/(-5) - (-4)\/(-10). Suppose 0*o - 21 = k*o. Let l(d) = -d - 3. What is the units digit of l(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 209138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9878 divided by 449\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24286649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326474?\nAnswer: 2, 239, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -199548847\/630 + 316744. What is the common denominator of -89\/3570 and h?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -20, 1\/4, -23, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2\/11*n**3 + 0 - 2\/11*n - 2\/11*n**4 + 2\/11*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 9*c**2 - 7*c - 4. Let v be p(-8). Let h = v - -7. Let i = 2 + h. Let m(g) = g**2 + 2*g + 4. Calculate m(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dukdakkkk. What is prob of picking 1 k and 1 d?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, k: 2, j: 1, h: 8}. What is prob of sequence ihk?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(1 + -4) - -1. Suppose 3*z - 2*x - 60 = f, -78 = -4*z - 0*x + 2*x. Calculate the lowest common multiple of z and 50\/5 - (1 + -1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.86 + -32.8. Sort 10, -5, 1\/4, t in descending order.\nAnswer: 10, 1\/4, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 104*d + 6. Let h be u(-4). What is h rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j + 5. Let f(o) = o + 4. Let t(m) = -f(m) - h(m). Differentiate t(w) with respect to w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 51?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-1)*(1 + -4)\/6. Let t(a) = -2*a - 29. Let z be t(h). What is the remainder when -3*z\/15 + 287\/5 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 849, 846, 839, 828, 813, 794, 771?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -1.2. Let t = s + 3. Suppose 4*r = 28 - 8. What is the second smallest value in -0.5, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 + 165 + 989 = 164*f. Let g(l) be the second derivative of 0 + f*l - 5\/2*l**3 + 0*l**2. Let d(a) = a. Determine d(g(j)).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -6*b + 3*k + 9, 5*k - 9 = 2*b. Suppose 3*q = q + b. Calculate the remainder when 9 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 4*k**2 + 9*k - 9. What is v(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 278 and 336380.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((20 - -2) + -5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**5 + o**3 + 10*o**2 + o**3 - 26*o**3 + 9*o**3.\nAnswer: 5*o**2*(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.6 - 13.3. Let k = 22.2 - 20. Let h = t - k. What is the smallest value in -5, -0.5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -98. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-324)\/12)\/(1635\/436)?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521 (base 6) to base 7.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n. Let s(y) = -1 + 2 - 3 + 3*y + 1. Let w be s(1). Let b(t) = w*t + 0*t - 8*t. Calculate b(f(z)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3435.724km?\nAnswer: 3435724000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/5)\/a*a*a\/(a*a*a*a*a**0)*(a\/a**(-1\/5))**3)\/((a**(-3))**(6\/13))**(2\/41) assuming a is positive.\nAnswer: a**(1102\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -4327, 8, 1 in ascending order.\nAnswer: -4327, 1, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13\/((-117)\/(-36))*252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-4*u**3 + 6*u**3 + 0*u**3) + u**3 + 0*u**2 + 0*u**2 + 2773*u**3 - 5729*u**3 + 2696*u**3 + (-1 + 3 + 0)*(2*u**3 - u**3 + 0*u**3).\nAnswer: -259*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 2167*h**5\/20 + 169*h**3\/2 + 67*h - 16. What is the second derivative of c(y) wrt y?\nAnswer: 13002*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21880, 43776, 65678, 87586, 109500?\n\"Answer: 3*p**2 + 21887*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/410766 and 163\/1379658.\nAnswer: 307663734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(12\/42)\/((-6)\/(-70)). Let b be ((-16)\/j)\/((-15)\/225). List the prime factors of 1\/(-6) - 2884\/b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 7*s**2 - 3123*s - 15626. Give z(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52174091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 13*x - 24. Calculate m(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/540470 and 26\/2972585?\nAnswer: 5945170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 + 94. Suppose -p - 2 = -3*u. Solve -u = 4*i - 2*i, 3*i + 1 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d531b - 3?\nAnswer: 6d5318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + 1*sqrt(108) + -2 + 4*(-3 + 1*sqrt(108)) + -5)**2.\nAnswer: -840*sqrt(3) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*f**4 - 6615*f**3 + 139*f + 769?\nAnswer: -204*f**2 - 39690*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*a - 0*a. Suppose 0 = -a*y - 0*j - 2*j + 6, -5*y + 10 = 2*j. What is the tens digit of (-48)\/36*(-102)\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1500\/23 at least as big as -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156156 by -33.\nAnswer: 4732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 44 = 88*m - 92*m, 4*p = m - 22 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.47 - -1.4. Let j = i + -0.03. Let t = -0.8 - -0.3. What is the biggest value in -4, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -15, 7*j + 14265 + 4936 = 4*w. What are the prime factors of w?\nAnswer: 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 11*u**2 - 9*u + 8. Let b be q(-8). Let t = 170 + b. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 + y - 1. Let n(o) = -o**3 - 17*o**2 + 5*o + 89. Let s be n(-17). Suppose 0 = s*c + 3*r + 4, 4*c - 7 - 5 = r. Calculate z(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -12*f - 4. Let c be m(-1). What is the highest common divisor of 20 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 927*q + 131. Let l be i(-3). Let r = l + 4210. What are the prime factors of r?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(3))\/sqrt(8)*4.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 7*b = -45. Suppose 0 = -4*u - x + b, -3*u - 3*x + 21 = x. What is the second derivative of -4*p**3 - 7*p + 4*p**u - 6*p - 9*p**3 wrt p?\nAnswer: -54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23305 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 8:31 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39987 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 11*k**2 + 20847*k + 448. What is v(150)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 4:32 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -63*b**2 - 438*b - 42. Let i(f) = -16*f**2 - 108*f - 9. Give 9*i(j) - 2*s(j).\nAnswer: -18*j**2 - 96*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 16*l**2 + 10*l + 106. What is c(-16)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-8 - (-552)\/60)\/2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: What is the remainder when -4 + (12 + -24)*(-136)\/12 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 40, 4201 in descending order.\nAnswer: 4201, 40, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + i**2 - 2*i)*(-2 + 2 + i) + i**3 - 2*i**3 - i**3 + (-5 + 3 - 2)*(4*i - 4*i - i**3).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j - j + 0*j)*(-122 - 69 - 259 + (3 - 2 + 2)*(3 + 0 - 5) + 1 + 2 + 2) as v*j + u and give v.\nAnswer: 902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*l + 118*l - 37*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**4\/4 - 3257*l**2. Let r(d) = 12*d**2. Determine r(h(f)).\nAnswer: 432*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18308 + -18307. What is the closest to -3\/4 in -2, o, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -971, -3792, -8493, -15074?\n\"Answer: -940*h**2 - h - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 10*n - 12. Suppose -7 + 32 = 5*r, 2*f - 368 = -4*r. Let j = f + -183. What is h(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**5\/7 - 2733*m**4\/7 - 52298*m**3\/7 - 345186*m**2\/7 - 119207*m - 55335 = 0.\nAnswer: -527, -7, -5, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 c, 1 q, and 1 a when four letters picked without replacement from {q: 1, x: 4, a: 3, c: 1, p: 4}?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93253?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*p - q + 18, -2*q = -2*p + 10. Let z be -1*p + (-51)\/(-17). Suppose -u + 7*u - 102 = z. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Suppose 3*w - 20 = -f*p - w, 2*p + w = 8. What is the first derivative of p*i + 2*i + 2 - 2*i - 2*i wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2480731 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*d**3 + 98*d**3 + 2 + 4*d - 2*d**2 - 23*d**3 to h + y*d**2 + f*d**3 + j*d and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) + sqrt(153)*4*-5 + sqrt(153)))\/(sqrt(81)\/(-2*sqrt(9))).\nAnswer: -38*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/9))\/((h*h**(-5)*h)\/h))**(5\/12) assuming h is positive.\nAnswer: h**(235\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 547396 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(175)*1 - sqrt(49)\/((sqrt(70)*-2 + sqrt(70))\/sqrt(10))).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + (-9 - -2))\/(1 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*o - 19 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*t**2 + 22*t**2 - 41*t**2)*(-t - 4 + 4) in the form q*t**3 + r*t + j + m*t**2 and give q.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1652 + 1652 - 1009*f**2.\nAnswer: -1009*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-383 + 507 - 1610)*(-4*g**2 - 3*g**2 + 5*g**2) as a*g + f*g**2 + m and give f.\nAnswer: 2972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 107399111?\nAnswer: 107399110.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a**(1\/3)*a))\/a)\/(a*a**(-1))*(a*(a\/a**0)\/a*a*a)**(-25) assuming a is positive.\nAnswer: a**(-226\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 85. Suppose 0 = -8*d + 7*d + g. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124465153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.69 and 0.3.\nAnswer: 0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nqn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152 - 152. Let t be ((b - -4)\/4)\/((-5)\/(-25)). Solve -k + 0*k + 3 = 0, -t*n + 2*k = -19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 - 26027?\nAnswer: -26071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 12 + 28 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(60)\/sqrt(3))\/sqrt(2))\/sqrt(5) - -2*sqrt(162)*-1) + ((sqrt(2)*1 - sqrt(2))*-5 - (-3 + sqrt(18)) - 6*sqrt(162)*-2))**2*2.\nAnswer: 1056*sqrt(2) + 30994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 4.06, 0.8, 0.03, 0.4?\nAnswer: 4.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6625*q - 62162 - 180982 = 107981 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*t**2 - 38*t**2 + 7*t**2 as l + s*t**2 + u*t and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 57 - 173?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41121371527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -4*g + 0*g**2 + 2\/3*g**4 + 0*g**3 + 0. Let v(j) = 2*j**2. Calculate z(v(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 6*w**2 + 7*w + 3. Suppose 4*f - 12 - 56 = -4*m, 3*f = -m + 11. Suppose 0*l + m = 4*l. Suppose -2*q - 10 = 4*h, 5*h + 3*q - l = 3*h. Give i(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2*2\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.8 - -0.8. Let s = 1764 - 1766. What is the fourth smallest value in -0.4, 1\/2, h, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + u - 5*u)*(1 - 3*u - 1 + (2*u - 3*u + 0*u)*(2 - 2 - 2) + 2*u - 1 + 1)*(5*u + 0*u - 2*u + (3*u + 2*u - 3*u)*(-1 - 2 + 2)).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**2 + 144*f + 514*f - 268*f + 6*f**2 to c + w*f + s*f**2 and give w.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -1 + (-1239 + 1213 - (20 + 0)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -43 (c) -1 (d) -22289\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-18)\/n)\/n*n\/((n*(n*n**1)\/n*n)\/n)*n)**(-49))**(-1\/12) assuming n is positive.\nAnswer: n**(-245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*x + 101. Let m be 4\/x - (-2651)\/7. Let p = m + -252. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2192009 not equal to 2192136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 - 3*c + 7. Let b = -14700 + 14711. What is the smallest common multiple of b and h(-4)?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w - 3. Let n(d) = 486*d**2 - 4576. Determine n(m(r)).\nAnswer: 39366*r**2 + 26244*r - 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 25 = 17*n. Let i(s) be the first derivative of 2 + 2*s - 1\/2*s**2. Give i(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -771 in 0.4, 879, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7450 is divided by 7435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -877644.\nAnswer: 5\/877644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/36)\/(2\/(-16)). Suppose 2*x - 8 = -s. Solve -2 = x*c - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4 + 6*l**3 + 9*l**2 = 0. What is l?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11110022011001 + -101200?\nAnswer: 11110021202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 3*n**2 + 10 + 3*n**2 + 0*n**3. What are the prime factors of k(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 895715936 and 267.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (77592\/84 - -3) + (-2)\/(-7). Suppose 8*a - 4295 = -l. List the prime factors of a.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/872 - 883524\/69651\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 66724?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43\/12 + -6001\/1668. Let i(s) = s**2 - 13*s + 11. Let d be i(12). Does p = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {i: 3, v: 2, k: 3, r: 1, a: 3, z: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1062)\/(-150) - (-70)\/(-10). Let z = 0.9 - 1.2. What is the biggest value in k, z, 24, 0.2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Suppose 2*a = -2*a + 12, -2*a = w*h + 3. What is the smallest common multiple of 2 and 16*1 - (-6)\/h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.105 + 6.605. Let d = 1.5 + -1.6. What is the closest to -1 in d, f, 6\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14917 + -2863981\/192. What is the common denominator of s and 17\/528?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 10305.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 1\/60*b**5 + 0*b + 1\/12*b**4 - b**3 + 0*b**2 - 3. Let j(i) be the third derivative of z(i). Calculate j(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2159*v + 3 + 1664*v - 2325*v + 1 to the form x*v + y and give x.\nAnswer: -2820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1925 is divided by 172.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -137, -192, -187, -80, 171, 608?\nAnswer: 1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 158.63 in -4, 3, -0.9, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-10 + (-9 - -14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -208*w - 4363. Determine a(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 6*x. Let i be s(-5). Find the third derivative of 2*d**5 - 5*d**2 - d**5 + 3*d**i - 6*d**5 wrt d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -46*a + 4313358. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 1152*q - 21440.\nAnswer: -4*(q + 20)*(q + 268)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 14*s + 8. Let k(h) be the first derivative of 2*h**3\/3 + 187. What is k(g(f))?\nAnswer: 392*f**2 + 448*f + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + (1 - 4) + 0 + (17 - (15 - 13)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 51830*s**2 + 1451997*s + 1400166.\nAnswer: -(s - 51858)*(s + 1)*(s + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 4986 - 50. Is (i\/1)\/(2 + 1\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 11, -4, -5, -37, 2, 3 in descending order.\nAnswer: 11, 3, 2, -4, -5, -13, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -41911, -43410, -45919, -49444, -53991, -59566, -66175, -73824?\n\"Answer: -d**3 - 499*d**2 + 5*d - 41416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(40) - sqrt(240)\/sqrt(6)))\/sqrt(8))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) - (sqrt(210)*-1)\/sqrt(5))*-1)\/(1*sqrt(54)*1).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/2618 and 109\/238.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, 29, 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98902 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: Solve 13*x + 7 = -6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -3, 80\/187277?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.51505 from -21.\nAnswer: -20.48495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + 2*5\/(-2) + 4. Let g(t) = -4*t - 6. Let y be g(-4). Let l be y\/(-2)*8\/(-20). Solve -b*h - 12 = -l*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18 - 1005\/(-1215)*21 and -51\/37.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/77500304 and -81\/1213312?\nAnswer: 620002432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -1 (c) 41362\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14364\/24)\/(-19))\/((-54)\/1260*-7).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.7868 or 2853?\nAnswer: 2853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*l*n*o**2 - 16036*d*l*n - d*l*o + 13*l*n + l*o**2 + 237798*n*o**2 - 2*n*o wrt o.\nAnswer: -4*d*l*n + 2*l + 475596*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 4. Let k be c(-4). Let m = k + 18. What is the remainder when 25\/30 + (-931)\/(-42) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, 4, 282, 1?\nAnswer: 282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7820?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**2. Let v(u) = 22817718*u**2. Give m(v(r)).\nAnswer: -2082593018910096*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -27c (base 15) to base 7\nAnswer: -1440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38586 - 110214 = -100*d. Calculate the greatest common factor of d and 336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -410048?\nAnswer: 164019.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 9:12 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 11:34 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*a = g - 43*a - 15, -5 = -3*g + 5*a. Solve 0 = 3*x - 2*u + 3 - 1, g = x + 5*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26*(-4)\/24)\/(2607\/(-54747))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31556, -31561, -31570, -31583, -31600, -31621, -31646?\n\"Answer: -2*q**2 + q - 31555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -32.000052. What is f rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a + -4?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + 0 + -1 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (235 + 11936\/(-96))\/(8\/3)\nAnswer: 83\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/48)\/((-1)\/(-4)). What is the tens digit of 1\/9*n - (-104)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b - c = -115, -b + 5*c + 13 = 0. Find the common denominator of (-70)\/(-20)*b\/80 and -85\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -355?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 33. Suppose -v = -2*a + 5. Solve -a*k = 9 + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 22*u**2 + 6*u - 5. Determine w(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 114*n**2 + 13*n - 8915. Let m(d) = 684*d**2 + 78*d - 53501. Let p(k) = 37*h(k) - 6*m(k). What is the derivative of p(u) wrt u?\nAnswer: 228*u + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 7*y**4 - 8*y**4 - 5 + y - y - 2*y**3. What is the third derivative of i(h) wrt h?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 4:22 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*w + 4*k, 0*w - 4*k - 20 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*r - 101*r + 179*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -167 (base 10) to base 2.\nAnswer: -10100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1451 is divided by 129.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 2. Let n be o(-2). Let y(b) = 22*b - 370. Let d be y(17). Put 5, n, -3, d in increasing order.\nAnswer: -3, n, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/14))**(-32)\/(m*m**(-30)\/m*m*m*m*m\/(m\/m**(-2\/23))) assuming m is positive.\nAnswer: m**(4729\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -14 + 7 + -13 - 29\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 14*r**3 + 6*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 + -82. Let q be ((-24)\/15)\/(4\/x). Suppose 11*a - 14*a = -q. Solve a - 2 = -5*z - 4*k, -5*z = -4*k - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -443*l**4\/4 - l**2 - 2*l + 8. Let k be r(-1). Suppose 0 = 5*u - 3*m + 2*m - 444, 5*u = 2*m + k. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 56, 286, 684, 1250?\n\"Answer: 84*p**2 - 22*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44950 is divided by 956.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 228871711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(8\/(-4)) - (-11 + 4). Let u(h) be the second derivative of -1\/20*h**5 + 2\/3*h**3 - 5\/12*h**4 + 8*h + 0 + s*h**2. Calculate u(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608*a - 7*a**2 + 608*a.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72 (base 10) to base 3.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1519 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 1287\/2 + 64*w + 1\/2*w**2 = 0. What is w?\nAnswer: -117, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64167 and 1599?\nAnswer: 34201011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*sqrt(539).\nAnswer: -21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g + 1913 = 181*g - 1621 - 5034 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 2:53 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 32*b + 263. Let v be i(-30). Let f be 1029\/v + 6\/(-87). Solve -f = -4*t - 3*m - 2, 5*m - 28 = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 168? (a) -5 (b) 4 (c) 1\/2 (d) -253 (e) 0 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1332232844?\nAnswer: 2, 41, 239, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 6*n**2 - 7*n - 2. What is l(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.18*-5\nAnswer: 5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26202 or -120?\nAnswer: -26202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + -34452420?\nAnswer: -34452402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.15726 to 2 dps.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 6:19 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(1\/25)\/y)*y)\/(y**(16\/3)*y))**(2\/149) assuming y is positive.\nAnswer: y**(-506\/11175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - u + 1. Let s(r) = -3*r**2 + 21*r + 5. What is -s(g) + 6*t(g)?\nAnswer: -3*g**2 - 27*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -2)*10\/(-4). Suppose 7 + 23 = f*p. Suppose 6*j - 6 - 6 = 0. Calculate the smallest common multiple of j and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 52*r**2 + 6108*r + 8821. Determine y(-116).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -111201042?\nAnswer: 111201033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 13) to base 3\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1043 and 1639?\nAnswer: 11473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 99427a + -268?\nAnswer: 994012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3.3 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4260092 = -3*f. Suppose 2*x - 2954133 = 5*b - 334056, -b + 3 = 0. Let i = x + f. Round i to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by (-357)\/153*(2 + -7 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 2, -3, -65, 182, 5 in decreasing order.\nAnswer: 182, 38, 5, 2, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-10) + 1\/5. Suppose 6*r - r - 4*h - 43 = d, -6 = 3*h. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1176893 + 3200468 = 75*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 112 = -4*z, -2*z - 3*b + 55 = 3. What is the derivative of -56 + d + 56 + z*d**3 + 39 wrt d?\nAnswer: 96*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 15 = -15*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 243829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 675 and 38070.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*s - 209, -69 + 38 = 5*m - 3*s - 98 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (6 + -9)*1. Factor 2 + l + v**3 - v + 12*v**2 - 16*v**2 + 2*v**2.\nAnswer: (v - 2)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 57*v**2 + 50*v**2 - 106*v**2 - 3*v + 3*v - v**2 + (3*v - v - 3*v)*(2*v - 6*v + 2*v) to d*v + c + l*v**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 8 = -7*i. Let f be i\/((-123)\/(-39) - 3). Calculate the highest common factor of 52 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a century in decades?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by -25\nAnswer: -44\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2)*(-6)\/(-9). Solve l + 2 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5*f = -12, 2*f = 6*f + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -40. Suppose d + 12 = i*d. Suppose 2*h - d = -0. Solve h*p - 3*v + 3 = -8, v + 1 = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 74*m**2 - 467*m - 163. What are the prime factors of t(-68)?\nAnswer: 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 - y**5 + 3*y**2 + (y**2 - y**2 - y**3)*(6*y**2 - 5*y**2 - 3*y**2) + (11*y**4 - 5*y + 5*y)*(-3*y + 5*y - 5*y).\nAnswer: -32*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlocoocorcwrorl. What is prob of picking 2 w and 1 r?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23356, 19851, 16346, 12841, 9336?\n\"Answer: -3505*r + 26861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 8)*(-2)\/(-4). Suppose -4*i - 4*m = -52, -p*i - 21 + 56 = -m. List the prime factors of (-8)\/(-5) - i\/(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r - 20. Let f(w) = w**2 - 5*w. Let k be f(r). Suppose -o + 4*o - 18 = k. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 100 in decreasing order.\nAnswer: 100, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -6, -0.3, -14\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 5041 + 0*s + 5168 - 2327 + 144 to the form d + a*s and give d.\nAnswer: 8026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 1)*(1 + 3 - 1)*(5*a + 2 - 2) in the form w + y*a and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.82457 to 3 dps.\nAnswer: 0.825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -470\/36209?\nAnswer: -470\/36209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4778 or 37453?\nAnswer: 37453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-462)\/(-140))\/(6\/(-13045)))\/((-11)\/44).\nAnswer: 11, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 6*q - 35. Let k = 27 + q. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -481605, -963210, -1444815, -1926420?\nAnswer: -2408025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4335 or -4161?\nAnswer: -4335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 4, -0.21, -3.5?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1051744.6 and -13?\nAnswer: 13672679.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 7, l: 5}. Give prob of picking 1 p and 1 s.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 5*c - 472. Let m = c + -107. Solve 4 = 7*g - m*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**4\/4 + 10*y - 12. What is the derivative of s(d) wrt d?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*i - 2*b, 26*i + 4 = 21*i + 2*b. Suppose i = -17*l + 16*l + 6. What is the highest common divisor of 204 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 217?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1602?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 1 - 785*a + 22 - 12 - 4 + a + 0 + 0 + (0 + 0 - 2*a)*(-1 + 2 + 1) - 1 + 2*a + 1 to the form u + n*a and give n.\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 3*f + 120 - 125, 0 = 5*l - 3*f - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/491 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 267, 8, -413, -996, -1741, -2648?\n\"Answer: -81*t**2 - 16*t + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 + -2.3. Let t = 1 + h. Which is the nearest to 0? (a) t (b) -5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 29 = -19*y + 24*y, -w + 2*y = 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from {b: 2, r: 4, l: 4, o: 7, v: 1}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.08, -156.2, 10, -6\/7, 21, -2\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 27 = 0. Let t = 49257 + -49231. What is the remainder when t is divided by ((-8)\/(-10))\/(z\/135)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 5*f + 0*f)*(f - f + f**2) - f**2 - 30*f**3 + f**2.\nAnswer: -35*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/17 - 109984*j**2\/17 + 1099990*j\/17 - 2750100\/17 = 0. What is j?\nAnswer: -55002, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**3 + 8*u. Let r be (69\/46)\/(3\/(-16)*1). Let v(w) = w**3 - 3*w. What is r*v(c) - 3*t(c)?\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3532.8 minus -0.67054?\nAnswer: -3532.12946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 55145 in ascending order.\nAnswer: -4, 1, 55145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*w - u - 1, u + 3 = w. Differentiate 109 - 52 + w*t - 7*t - 11*t wrt t.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1818, 3594, 5370, 7146?\nAnswer: 8922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + -4*(((sqrt(19) - (sqrt(19) - (-5 + 1 + sqrt(19) + sqrt(19)))) + (sqrt(19) - (sqrt(19) - sqrt(19)*2)) + 4)*-2 + 4)))**2.\nAnswer: -8640*sqrt(19) + 177129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-12))\/(14 - (-14373)\/(-513) - -14).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1. Let o(h) = 2*h - 4. Calculate 5*c(m) + o(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3048 = 5*t, 3*q + 4*t - 366 = 2655. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 2*g**2 + g + 4. Let k be l(0). Suppose 0 = -z + 1, 0*c - 4*c - 4*z + k = 0. Let o be 44\/11 + c + -1. Solve -w - 20 = o*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79.1 + -79. Let m be 20\/3 - (-2)\/(-3). Let u = 1 - m. Sort 5, d, u in ascending order.\nAnswer: u, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 6*b + 3*b)*(-b + 0 + 0)*(-33 + 14 + 18).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.73 - 0.73. What is the biggest value in 0.5, u, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1080 in -10, -1\/5, -0.11, -1.8?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 a when four letters picked without replacement from {n: 5, a: 13}?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 110*s**4 - 2*s**2*v + 1216*v wrt s?\nAnswer: 440*s**3 - 4*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 11:05 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 31905 divided by -2127\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(6897))\/(sqrt(432)*-2) + (5*sqrt(133)*1 + sqrt(133))\/(sqrt(7) - sqrt(84)\/(sqrt(12) + sqrt(36)\/sqrt(3))).\nAnswer: 277*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w - 363*w - 429*w + 1160*w - 352*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -452\/759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -285*f - 2942. Calculate w(-10).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -47. What is the biggest value in -3\/5, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 464116417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-78)\/(-6) + -7. Let z be (-4)\/((-93)\/(-21) - k) + -3. Solve 5*s - 4*w = -15, -8 = -3*s - 5*w + z*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -19. Suppose -4*r - r + 945 = v. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y = -69*y + 504 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 97736, 195469, 293202, 390935, 488668?\n\"Answer: 97733*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**4\/3 + 34*t**3\/3 + 36*t**2 + 56*t. Factor y(v).\nAnswer: -4*(v - 18)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154244888*d - 4 + 154244882*d + 4.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 8*d**2 - 2*d + 11. Let y be t(8). Let k be 1\/(-4) - y\/20. Which is smaller: 5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + -4*(sqrt(66) + -4*sqrt(66)) - ((3*sqrt(66) - sqrt(66)) + sqrt(66))*-2)\/(-3*(-2*sqrt(36)*-1)\/sqrt(6)).\nAnswer: -19*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 105, 4, 11 in descending order.\nAnswer: 105, 11, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -51691, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 1\/5*u**3 + 24*u + 33\/5*u**2 - 133. Factor z(w).\nAnswer: 3*(w + 2)*(w + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001839932 rounded to six dps?\nAnswer: -0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0.02643733, -5 in decreasing order.\nAnswer: 3\/4, 0.02643733, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -58377738*-3\nAnswer: 175133214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 11\/(-2)*-8. Suppose 3*t - 13 - 15 = 4*c, 4*t - w = 4*c. Calculate the smallest common multiple of 1 - -1 - (-2 - t) and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-12)*p\/p**43*p**(1\/5)\/(p\/(p*p\/p**(-2\/17)*p)*p) assuming p is positive.\nAnswer: p**(-4478\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 156\/(-6) - (-140 + 125)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1192497883?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 541*l - 5 - 5 + 1 + 14 - 7 in the form r*l + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2782, -11187, -25202, -44833, -70086, -100967, -137482?\nAnswer: -179637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -57*r**2 - 39*r - 39. Let f(v) = 3*v**2 + 2*v + 2. Give -117*f(m) - 6*h(m).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15, 48, 101, 180, 291, 440, 633, 876?\n\"Answer: s**3 + 4*s**2 + 14*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -407 and -49.56?\nAnswer: 20170.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - -1*sqrt(76)\/sqrt(4))*4)**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**10\/m)\/m**0*m**(4\/7)\/(m*m\/(m*(m*m\/(m\/(m\/m**0*m))*m)\/m)))**(-2\/45) assuming m is positive.\nAnswer: m**(-18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5791207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 406 - 394. Solve -10 = -10*z + i*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8354 + -91996\/11. Suppose 6914 - 6546 = -46*i. Which is greater: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 u, and 1 j when three letters picked without replacement from {u: 2, t: 1, w: 2, b: 1, v: 1, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.03 (b) 1225 (c) -1\/4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**2\/3 - 3371362*y\/3 + 2841520433761\/3 = 0.\nAnswer: 1685681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 635*s**2 + 2*s - 5*s - 938*s**2 + 1198*s**2.\nAnswer: 895*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -357 or -339?\nAnswer: -339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/7 + 162234*u**3\/7 - 4387131720*u**2\/7 + 39563145091296*u\/7 - 355713066407808\/7.\nAnswer: -2*(u - 27036)**3*(u - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 = -10. Let y(f) = f - 2 - 4 + f. Is y(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 197043911*l**4 - 6*l**2 - 8080331 wrt l?\nAnswer: 4729053864*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 520 by -5.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64200.200004 - 64200. Let g = -0.1 + -0.1. Let s = p + g. What is s rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0 - 6. Suppose 1235 = t*y + 4*u, 0 = 2*y - 3*y - 5*u + 419. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 8*c**5\/3 + 6*c**4 - 21001*c**3\/3 - 5253*c**2 + 5252*c\/3 = 0.\nAnswer: -52, -1, 0, 1\/4, 101\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*n**3*r + 3*n**3*u**4 - 7*n**2*r - 156*n**2 - 2675*r*u + r with respect to u.\nAnswer: 12*n**3*u**3 - 2675*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -263823 (base 10) to base 12\nAnswer: -108813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 831.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -5\/6*u**3 + 7\/12*u**4 + 3\/20*u**5 + 0 - 2*u + 0*u**2. Let q(s) = -s**2 + s. Calculate h(g) + 5*q(g).\nAnswer: 3*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 66*z = -7*z + 676 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 483\/184*7400\/(-6)*-128. What is b rounded to the nearest 1000?\nAnswer: 414000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 100 = 4*y - 2*d, -4*y = -d - 83. Suppose 19*z = y*z - 51. Let p = -3 - -7. Solve l = -4*k, -k + p*l = -0*l + z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 h when three letters picked without replacement from {h: 2, z: 1, n: 2, v: 1, x: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5*z - 28 = 0, 534 - 430 = 4*d + 2*z for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -4, -7, -10, 1.72?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*s + 0 + 6*s**2 + 27*s**3.\nAnswer: s*(9*s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*(-30)\/(-40)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = s + 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 27*a**3 + 3*a**2 + a - 3. Let m(s) = -53*s**3 - 5*s**2 - 2*s + 5. Let x = -19033 - -19028. Determine x*r(b) - 3*m(b).\nAnswer: 24*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -33*x**3 - 3*x**2 - 3*x - 1. Let n be j(-1). Let l = n + -18. Calculate the lowest common multiple of 10 and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 94*w**2 - 188*w + 22. What is the units digit of k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 85?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/16*(1 + -1). Let s be 15\/(-5) - (w - 2). Let t be 1519999\/(-4) - s\/(-4). What is t rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**3 - 37*k + 2*k**2 - 34*k + 4*k**3 - 7 - 4*k**4 + 69*k in the form a*k**3 + x*k**4 + z*k**2 + n*k + b and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 842?\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**4\/10 + 4*d**3\/3 + 17*d**2\/5 + 16*d\/5 + 17. Solve p(r) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - f + 4*f + (-2*f + 0*f + 4*f)*(2 + 2 - 3) + (0 + 0 + 2*f)*(5 - 2 - 1)*(4 - 2 + 2).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 36. Suppose 3*d = 5*s + 25, 3*s + 23 = 5*d + 4*s. Let b(y) = 4 - r*y - d + 1 - 1. Give b(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*(-40)\/(-168))\/(2*(-11)\/(-990)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 12. Let s(m) = m + 1. Give s(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023016427 to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5 + 225*j**4 - 17042*j**3 + 464988*j**2 - 2223720*j = 0 for j.\nAnswer: 0, 6, 58, 71, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**3\/2 + 4835*u**2\/2 - 353683*u\/2 + 6517809\/2 = 0.\nAnswer: 37, 4761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -500, -502, -504, -506, -508, -510?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 48\/5 of a microgram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 846804.271 and -320.\nAnswer: 846484.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 8*m - 5. Let o be t(-5). What is the units digit of (0 + o)*760\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/7 - 5697382*n\/7 - 8115040413481\/7.\nAnswer: -(n + 2848691)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -258*k + 453. Calculate w(4).\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 43*n + 1232. Give q(-27).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5421*c**4*z - 2*c**2*z + 71*c*z - 16*c + 2 wrt c?\nAnswer: -65052*c**2*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167*n - 91 + 91 - 384*n + 4032*n to the form u + s*n and give s.\nAnswer: 3481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 19*v**2 + 2*v - 24. Determine x(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2431.5291 rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -13 + (-28 - (-17 + 37))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/3)\/(2\/(-15)). Let k be (-2)\/(-2 - (-20)\/8). Let u be (-702)\/(-36) - 2\/k. Calculate the highest common factor of q and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -r + 2*t + 3779, -3*t + 6 = 0. Suppose -54 = 5*d - r. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 11*l + 34. Let r be v(-5). Solve -11*q - r = 51 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.4 (c) 1\/8 (d) -48 (e) 0.1225\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a factor of 120914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 2*l + 3. Let q be i(2). Suppose -q*n = -2*n - 3. What are the prime factors of ((-51)\/1)\/(n\/(-2))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87319018 times -6\nAnswer: -523914108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11085?\nAnswer: 3, 5, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 108886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7446 is divided by 3700?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1466, -1811, -5088, -8365?\n\"Answer: -3277*x + 4743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*z + 33 + 52 + 11 = 0. Sort -3, z, 20, 3 in ascending order.\nAnswer: -3, z, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 9:51 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + -1 + sqrt(200) - (sqrt(50) - (sqrt(250)\/sqrt(5) + sqrt(50)) - (sqrt(12) + sqrt(12)*-3)\/sqrt(6))**2)*-5.\nAnswer: -50*sqrt(2) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 19*r - 40. Suppose 22*q - 27*q = -275. Suppose -10*d - q = -15*d. List the prime factors of c(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/6)\/((6 + 1)\/28). Let f(z) = -23631*z**v + 3 + 23636*z**2 + 7*z - 3*z + z**3. Calculate f(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**5\/210 + g**4\/42 - g**3\/7 + 10*g**2. Solve p(f) = 0 for f.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 - 178. Let g = k - -102. Let j = 0.8 + -13.8. What is the third biggest value in 0.5, g, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Suppose 3*o + 4*r - 76 = 0, p*o = o - 3*r + 81. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4*r*v + 21*a**4*v + a**3*r - a**2*v - 45*a*r*v - 2*a*r wrt a.\nAnswer: -24*a*r*v + 504*a*v + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 16*j - 17*j + 7 = 0, 4*g + j + 7 = 0. Let i = -4\/91 + -344\/455. Sort i, g, -4.\nAnswer: -4, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -58 (b) 0 (c) -2\/423\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = 5*w, -2*w - 4 = -0*s + 3*s. Suppose 19 = -3*v - w*d, 3*v - 5*d = -2*v + 15. What is the least common multiple of 3 and 0\/v + (2 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and -16.\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - v. Let b = -90 + 89. Let k(t) = 3*t**3 + 6*t**2 - 6*t - 1. Calculate b*k(l) + 6*y(l).\nAnswer: -3*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 427 by 123659.\nAnswer: 427\/123659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1907275 divided by -5\nAnswer: 381455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j - 177. Determine h(34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-34)*z**31\/z assuming z is positive.\nAnswer: z**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184636 is divided by 92195?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 23, -4, -2\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 j when three letters picked without replacement from {j: 3, s: 1, g: 1, v: 11, b: 2}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 34. Suppose -q*k + 7*k + 4*d - 36 = 0, 4*k + 4*d = 32. Let g(t) = -2*t + 3. Calculate g(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50996692 a multiple of 1948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -6 (c) -1.1 (d) 0.026\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3 - w**3 + 5*w + 4*w**2 - 3*w + 0*w**3. Let i(d) = 16*d + 4. Let y be i(0). Determine a(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10926 - 10892. Calculate the remainder when 17849 is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 13*w**2 + 14*w + 394. Let f be d(-14). Let o be (-1 - -1) + 3 + -4. Let r be o - (-3)\/(6\/14). Solve -r*v = -f*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 291*u - 8*u**2 - 145*u + 3 + 2*u**3 - 145*u in the form n*u**3 + i + f*u**2 + w*u and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -6, -3, -4087 in descending order.\nAnswer: -3, -6, -52, -4087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20156*m**2*n*p**2 - 22*m**2*n*p + 229*m*n - m*p**2 + m - 24*n*p**2 wrt m.\nAnswer: -40312*n*p**2 - 44*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 455 + -201. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -239\/6. Let y(x) = -2*x**2 - 4*x - 7. Let c be y(-6). What is the common denominator of w and 98\/4*10\/c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w + 2. Suppose -3*z + 5*x - 2 = 0, 5*x - 3 = 4*z - 7. Let v(c) = -5*c - 1. Calculate z*g(j) + 13*v(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a*b*p*v**3 - 6*a - 2*b*p*v**3 - 26*b*p*v - 2*b + 69*v**3 wrt p.\nAnswer: 3*a*b*v**3 - 2*b*v**3 - 26*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by 6?\nAnswer: -41\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 2503.\nAnswer: 2503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003516927 to five decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -18*b**3 + b. Let x be u(1). Let a = -108 - -168. Let m = a + x. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5)\/r)\/(r*r*(r*r**3)\/r))**21 assuming r is positive.\nAnswer: r**(-588\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 44*t**2 - 106*t**2 + 0 + 40*t**2.\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 15. Let p be (-6)\/(-10) + d + 74\/10. Solve p*i = 5*h - 21, 3*h + 1 = i - 6*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 4*u - 8896 + 8920, -2*m - u - 21 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k + 6. Let c(p) = -19*p + 11. Let x(h) = 6*c(h) - 11*t(h). Let z(j) = -3*j**2. What is x(z(y))?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 6 - 6)*((-1 + 5 - 2)*(4 - 4 + 2*i) + 3*i - i - i - 11*i + 18*i + 3*i) + 10*i**2 - 56*i**2 - 2*i**2.\nAnswer: -78*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -l + 127. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2 - n + 1. Let v be b(2). Let y = 160 - v. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -4 - (-12)\/4) + -42 - (18 - 15).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.565698 micrograms?\nAnswer: 0.003565698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18902196 and 27065.\nAnswer: 5413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 3*x - 3. Suppose 0 = -17*q + 20*q + 6. Determine a(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 26*x + 20. Let g(l) = -356*l**2 - 1. What is d(g(z))?\nAnswer: -9256*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/535 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46 and 22.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a**2 - 14*a - 14. Let h(c) = 4*c**2 + 5*c + 5. What is 17*h(s) + 6*i(s)?\nAnswer: 2*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4765 - -5073. Solve 0 = -5*v + b - 313 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 2*i + 2435, -4*i + 8 = -12. Let n = z + -162. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r*r*r**(2\/7)\/r*r**(-1\/10)\/r**(-5))**(-39) assuming r is positive.\nAnswer: r**(-15977\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 17. Let s(k) be the second derivative of -k**5\/20 + k**4\/3 - k**3\/3 + k**2 - k. What is s(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u - 5. Let a be r(4). Suppose 3 = 5*n - a. Solve -n*f = f - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.59 + 0.09. Let i = 342.8 + -345.8. Which is the third biggest value? (a) i (b) 3 (c) 0 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21469 + 11315 = -61*c - 12350 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 34*a - 185. Give l(-10).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000101889825 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 4*t - 143. Let q be x(15). Calculate the highest common factor of q and 21626.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - 1) + 4 + 4. What is the third derivative of y**t + y**2 + 3*y**2 + 6*y**4 + 3*y**4 wrt y?\nAnswer: 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17516151*u**2 + 58088999*u?\nAnswer: -35032302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 228*o**2 + 8*o + 109. What are the prime factors of a(6)?\nAnswer: 5, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -35. Which is smaller: z or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193 + -203. Let k(b) = -b**3 - 7*b**2 + 2*b + 29. What is the units digit of k(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -557 + 562. Which is the closest to -3? (a) h (b) 2 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80214*r + 3*r**5 + 40116*r + 40355*r + (-3*r - r**2 + 3*r)*(-1 - r**3 + 1).\nAnswer: 4*r**5 + 257*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*x - 3*x + 46*x)*(-424 + 76 - 45).\nAnswer: -21222*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 4:08 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246866830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 + -44 - -37) + 19.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*l**2 - 316*l**2 - 1134*l**3 + 2670*l**3 - 1537*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8061 divide 324534150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.96 and 4908879.\nAnswer: 4908878.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98281 is divided by 18083.\nAnswer: 7866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2\/n*n)**(1\/3)\/(n**(1\/13))**48)**(-6\/5) assuming n is positive.\nAnswer: n**(236\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 168345 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -g + 2*g + 8, 4 = -2*v. Let q = g - 6. Let h = q + 12. Which is smaller: -3\/10 or h?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 798*s + 1463*r - 786 = 1465*r, r - 1 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133324278?\nAnswer: 2, 3, 22220713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**3 + 2*o**2 - 19*o - 21. Calculate d(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00052 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1879?\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 15. Let d = 0.47 - 0.27. Sort -1, v, d, 4 in descending order.\nAnswer: 4, d, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 16 = 3*a. Solve 3*i = -4 - a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846818 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5 = p, -7*p + 0*p = 3*h - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + d**2 + 24*d + 590. Determine r(10).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7758613?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 57. Suppose -2*j + 20 = 3*j. Suppose -2*l + l = -j. Solve w*u + l*x = 6, 0 = -2*u + 3*u + x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 451778 divided by -10.\nAnswer: -225889\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -25*u**2. Let g(z) = 10*z - 2*z - 2*z + 16 + 5*z**2 + z. Let h be g(-5). Let c(s) = -106 + h + 2*s. What is r(c(j))?\nAnswer: -100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 5}. What is prob of sequence um?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 74 = 5*c, 311*c + 2*j + 42 = 314*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*u - 65*u + 13*u**4 + 146*u - 1 - u**2 + 2*u**3 in the form s + r*u**2 + z*u**3 + h*u + m*u**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -114, -1, -4, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 12 - 7*l)*(-4*l**2 - 3 + 13 + 2*l**2) as h*l**3 + o*l + k*l**2 + m and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/10*(-5)\/(75\/12)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 167*g**2 - 12*g + 891. Give y(0).\nAnswer: 891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 5 = -4*x. Suppose k - i = 2*k + 56, -x*i = 5*k + 277. Let l = k + 93. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8182, 2\/13, 20, 0, -0.5 in decreasing order.\nAnswer: 8182, 20, 4, 2\/13, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.0052 + 0.0052. What is the biggest value in -0.1, -17.2, z, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 708 - 418. Suppose 4*x + x = p. Suppose -5*n - 3 = -x. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -3, -197 in ascending order.\nAnswer: -197, -48, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -d + 55, 0 = 4*l + d - 3*d - 106. Let n = 22 - l. Let s be (-7)\/5 - (-3)\/n. What is the smallest value in -2\/3, s, -2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3969 and -187\/1100736.\nAnswer: 3302208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5114.8 - -5113.8. Let c = -0.24 + 41.24. Do k and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 + 2 = 0. Let d = -0.3 - -0.1. Let t = d - -0.7. Put 2\/15, t, v in ascending order.\nAnswer: v, 2\/15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 5.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**4\/6 + 9*z**3\/2 - 13*z**2\/2 - 15*z. List the prime factors of b(12).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**3*u**2 + 98*a**2 - 3*a*u**2 + 35434*u**2 wrt a.\nAnswer: 6*a**2*u**2 + 196*a - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 7 = y. What are the prime factors of 3 + 6*(111\/6 + y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*b + 5 = 0, 0 = 3*b + 3 - 0. Suppose -3 - 11 = -x*k. Let p = k + 9. Calculate the remainder when 46 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 169903 and -6.\nAnswer: -1019418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3679, 3090, 2503, 1918, 1335, 754, 175?\n\"Answer: m**2 - 592*m + 4270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 5)\/((-6)\/(-14)). Factor 6 + f*o**2 - 6 - 2*o.\nAnswer: o*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 112798, 112333, 111868?\n\"Answer: -465*f + 113263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**5\/60 + y**3\/6 - 2*y**2. Let n(t) = 3*t**2 + 2. Let b(j) = 2*a(j) - n(j). Let u(i) = 2*i**2. Determine u(b(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 9*x**2 + 5*x - 41. Let s be t(-10). Put -51, 3, s, -5 in decreasing order.\nAnswer: s, 3, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 96 + 0*f**2 + 0*f - 2*f**4 + 43\/3*f**3. What is the third derivative of c(s) wrt s?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -176*h**3*i**3 + 73779*h**3*i - 1468*h**2*i**3 + 3*h*i**2 + i**3 wrt i?\nAnswer: -1056*h**3 - 8808*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 129\/4 + 12\/16. Let r be (-110)\/b*(-12)\/(-10). Is 6\/r + 66\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63395d (base 14) in base 15?\nAnswer: -4633eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/((-12)\/117) - -4.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -24 - (-4 + 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4833 (base 9) to base 10\nAnswer: 3594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Let t be h*2\/(20\/15). Suppose -u - 2*q + 51 = 0, t*u + 0*u - 5*q = 131. What are the prime factors of u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-100)\/(-3)*78\/65. Let g = d - -112. Suppose 7*j = g + 16. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/13, 5, -26, -53\/3, -0.2, 3\/2?\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6537 - 32577\/5. Let b = -1043\/55 + s. Let m = -5482\/9 + 609. Find the common denominator of m and b.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2610 (base 7) to base 6.\nAnswer: -4323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 0*m - 105. Let r = m + -13. Let c(o) = 3*o**2 - o + 7. Is c(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4110194, 8220389, 12330584?\n\"Answer: 4110195*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 7*s + 8. What is q(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 13. Let b(c) = c + 6. Let o(g) = 7*b(g) - 3*s(g). Calculate the lowest common multiple of o(2) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -15112431?\nAnswer: 15112415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -80. Let t be (-1 - -2)*-1 - r. Suppose 46 = 4*x - t*c, 8 = 2*x + 2*c - 0. Solve -5*z = 11 + x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1350 - 1340. Solve 7*s + 12 = c*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 691770 and 165630.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 3*p. Let y = -201 + 204. Solve -y = -3*v - 15, p*v + 23 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 13 + 2. Suppose 0 = -a*k + 2*k. Find the second derivative of k*f**4 - 243*f + 11*f**4 + 245*f wrt f.\nAnswer: 132*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 27 - 3. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 5*x**4\/2 - 11*x**3\/3 - 40. Find the third derivative of p(l) wrt l.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/97756 greater than 1230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 629 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 0.00112?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -12\/2509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + -26a?\nAnswer: -25c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 225*q - 227*q = 101445, 0 = -5*u - 2*q + 101425. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + -51 - (15 + -29)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*z - 4. Suppose 0 = z*w + w - 16. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2024)\/(-115) - (-30)\/(-50).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/20)\/(266*(-2)\/(-16))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 = 1. Suppose 0 = 2*y - 4, -6*l + l = 5*y - 35. Let d(w) = -w**3 + 4*w**2 + 4*w + 6. Let c be d(l). What is the nearest to c in -3, 2\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -589 + 584.91. Let j = b + 0.09. Let v = -7.4 + 9.4. Sort v, j, 3\/5 in ascending order.\nAnswer: j, 3\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 15 = 2*o. Let g(a) = -9*a - o - 13*a + 7*a. Is g(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -18857036\nAnswer: 29\/18857036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -177, -677, -1511, -2679, -4181, -6017?\n\"Answer: -167*i**2 + i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 14*y. Let s = 6 - 4. Let v(g) = 4*g**2 + 4*g**2 - 9*g**s + 0*g**2. What is h(v(f))?\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8480, -8227, -7804, -7217, -6472, -5575, -4532, -3349?\n\"Answer: -w**3 + 91*w**2 - 13*w - 8557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*i = 30*i - 7454 + 386. What is the remainder when i is divided by -25*(-3 + (2 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + a + 2*a - 4, -4*a = 3*s - 2. Let h be 0 + s\/2*0. Differentiate 5*o**3 + h - 3*o**3 + 1 with respect to o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 18668*r**2 + 11246364*r + 33571188.\nAnswer: 4*(r + 3)*(r + 707)*(r + 3957)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80285*z**4 - 5590*z?\nAnswer: 963420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-4)\/16)\/((-5)\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**7\/210 - 7*k**5\/12 + 515*k**3\/6 - 455*k**2. Find the first derivative of p(m) wrt m.\nAnswer: -4*m**3 - 70*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -2 + (-1490)\/15. Let p = y - -317\/3. What is x in 325\/3*x**4 + p*x - 152\/3*x**2 + 16\/3 - 125\/3*x**5 - 80\/3*x**3 = 0?\nAnswer: -2\/5, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from {m: 2, a: 1, t: 1, k: 1, w: 1, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.09 (b) -2 (c) -2\/15023 (d) -31\/6 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 589295228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 69, 104, 139?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -8179618\nAnswer: -7361656.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((0 + 1)\/(-1))\/((-11)\/(-11)). Let a be 0 + 1 - (k - 0)*-3. Calculate the lowest common multiple of 11\/(-2) + 5 - 19\/a and 37.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -j - 4*j. Suppose -3*f = 3*s - 93, 65 = 2*s - 2*f + 7*f. Calculate the highest common factor of s and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*l**2 + 2120\/3*l**3 - 4\/3*l**4 + 0*l.\nAnswer: -4*l**3*(l - 530)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-16\/7)\/g*g*g**(-3\/5))**(-2\/47) assuming g is positive.\nAnswer: g**(202\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 17*u - 6*u + 2*u - 7*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 911 + m + 493 + 1292 + 428 + 119 as t + w*m and give t.\nAnswer: 3243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 33*v**2 + 38*v - 54. Let u be k(33). Suppose 34*a = 31*a - u. Round a to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36630195 divided by 427?\nAnswer: 85785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -248\/183?\nAnswer: -248\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/351?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/22 - -31\/66. Let d = -6\/5 + 17\/10. Let l = 39 + -35. What is the nearest to c in d, l, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from {h: 4, v: 1, f: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 - 3387684?\nAnswer: -3387638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**2 + 8*p**4 + 1257 - 3916 + 18*p**3 + 1437 wrt p?\nAnswer: 192*p + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1696316 times -0.9\nAnswer: -1526684.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 + q + 19. What is the remainder when c(-4) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228 and 3306.\nAnswer: 6612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-36)*(-2 + 14). Let k(c) = -2224*c**3 - 2*c**2. Let d be k(g). Round d to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*s + 6. Let k be 1\/s*(-6)\/3 + -17. Let f be 2*1 - (k + 14). Let r(n) = -n**3 + 7*n**2 - 7*n - 3. What is r(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 5) to base 3\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37493089073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j + 20 + 892. Suppose 3*w - 19*w + j = 0. What is the lowest common multiple of w and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652*d - 613*d + 309*d.\nAnswer: -956*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-nine fifths of a microgram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 101626041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21573 = -136*l + 127*l. List the prime factors of l.\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8650528 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + -2 + 5 - 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g. Let o(m) be the first derivative of -m**3\/3 + m**2\/2 + 2*m - 12. Determine -o(p) + 2*q(p).\nAnswer: p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 - 96 = 0. Let h be (18\/10)\/((-9)\/k). Find the common denominator of -3 and (h - 8) + (-62)\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3590 - -4134. Is i bigger than 544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-15) - (-494)\/(-10). Let t = 95 + h. Suppose 3*u + 3*r - 53 - t = 0, 4*u + 5*r = 132. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 38533*u\/4 - 1660617\/2.\nAnswer: (u - 38619)*(u + 86)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-15)*45 - 10)*-17. Solve 2*q - w = 19*j - 16*j, -j = 2*q - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2. Let a(c) = 5*c - 10. Let j(o) = -a(o) + u(o). Suppose 3*d = 6*d + 21. Determine j(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, t: 2}. What is prob of picking 1 t and 1 a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + k**3 - k**3 + (-5*k**2 + 2*k**2 + 4*k**2)*(-2*k**2 - k**2 + k**2) - k**4 - 290 - 65*k + 290.\nAnswer: -4*k**4 - 65*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 2\/79463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1224.999998558 - -1225. Round f to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide -6 - (12 + 54067\/(-13))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-3\/5)*a*a**(7\/6)*a*a assuming a is positive.\nAnswer: a**(173\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -931 divided by -32?\nAnswer: 931\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 12 - (-3)\/6*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -69.09022?\nAnswer: -68.09022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 6*k - 18*k)*(-3*k - 5*k + 2*k) + 3*k**2 - 3*k**2 - k**2 to the form n*k**2 + m*k + z and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3 - ((9 - 6) + 1)) + 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 213773*h**3*j**2 - 95*h**3*m + 3*h**2*j**2 - 46*h**2*j*m + h**2*m + 2*j**2*m - 2*j**2 - 26*j*m + 5*m wrt h?\nAnswer: 1282638*j**2 - 570*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27547 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = c, -1 = -4*m + 5*c + 24. Find the common denominator of m\/(-3)*(-15)\/70 and 0 + 3\/((-4)\/54*21).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - 9*h + 11*h)*(-36409*h**2 - 234*h**3 + h + 36409*h**2)*(-2*h - 3*h + 4*h).\nAnswer: -702*h**5 + 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**2*z*z)\/((z**4\/z)\/z))\/((z\/z**(4\/9))\/z*z**(-2\/7)))\/(z\/(z\/(z*z*z\/z**(2\/5)))*z\/z**(-5))**(-41) assuming z is positive.\nAnswer: z**(111929\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Let p(d) = 3*d**2 + 15*d. Give w(p(s)).\nAnswer: 3*s**2 + 15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (784\/21 - -9)\/(-10*7\/(-210)) is divided by (-4)\/6 - (-46)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 - 11*b**3 + 3*b**3 + 0*b**3 - 4 + 3*b**2 - 2*b + 3*b**3. Let f be c(-2). Solve 0 = -5*g + 15*g + f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 2*m + 3*m + (2 - 1 + 0)*(-2*m - 4*m + 4*m) + 3*m + 7*m - 2*m - 1 + 0 + 4 - 2*m as a*m + o and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + z - 4*z - z**2 + (z + 3 - 3)*(-658 + 658 + 5*z) to q*z**2 + n + l*z and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)*f**(-3\/4))\/((f\/(f**1\/f))\/(f*f**4*f)) assuming f is positive.\nAnswer: f**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 288.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.49 + 5.49. What is the second smallest value in -2\/5, y, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -154 + 195.4. Let f = s + -41. What is the second biggest value in f, -1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 4)*(-3*m + 7*m - 2*m) + 0 + 0 - m + (-3 + 2 + 3)*(-2*m + 3*m - 2*m) in the form a*m + t and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 50*r**2 + 52*r**2 - 1.\nAnswer: 102*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-12 - (-21 + 14)) + 0\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 2. Let g be i(2). Let q be (-1 - 1)*(-12)\/30. Let s = 439 + -440. Which is the nearest to s? (a) 0.5 (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*i - 56*i - 25*i**3 + 84*i.\nAnswer: -25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 3345689 in descending order.\nAnswer: 3345689, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h - 70*h - 306 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 71 = 0, 60 - 68 = 4*q + 5*b - 4*b - 83 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(0 + sqrt(242)) - (sqrt(32)*-5 + sqrt(18) + 0))**2 + 0 + 1)*2 + 5.\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/81 and -59\/9?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 144 = 732. What is the remainder when q is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -3*u**6\/40 - 2*u**5\/5 - 7*u**4\/8 - u**3 + 4*u**2. Factor p(j).\nAnswer: -3*(j + 1)**2*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(931) + sqrt(931)*1)**2.\nAnswer: -18620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 215 or -2.2182?\nAnswer: -2.2182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, r: 8}. What is prob of picking 1 r and 1 x?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + l - 21 = 0. Suppose 420 = -2*c - l*c. Let t = 127 + c. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148649 and 1124.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 28*h. Suppose -5*t - w + 280 = 0, h*t - 3*w + 224 = 4*t. Calculate the least common multiple of t and 76.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 363350 and 7?\nAnswer: 2543450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31399 - -45012. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-16)*4\/5*8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -6*u + 9*u - 20, -3*n - 5*u = 15. Let c be (6\/10)\/(10\/(-50)). Sort c, -2, -4, n.\nAnswer: n, -4, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108824756 to the power of 1\/3, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1972 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8673 is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 20*c - 9. Let z(y) = 2*y**2 + 21*y - 8. Let v(h) = 5*k(h) - 6*z(h). Let x be v(-13). Factor -l**2 + 1 + 1\/2*l - 1\/2*l**x.\nAnswer: -(l - 1)*(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155.82 - 154. What is g rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22207, -44346, -66479, -88606, -110727, -132842?\n\"Answer: 3*q**2 - 22148*q - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2298.8 + 2093.4. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -14, 1\/3, -2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6125831 (b) 4 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2185057, 4370108, 6555159?\n\"Answer: 2185051*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/6 + (5 - 7))\/(-2). Solve v = -4*f + 5*f + d - 5, -4*f + 10 = -6*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12769469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24866615, -24866610, -24866605, -24866600?\n\"Answer: 5*g - 24866620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2))**40\/((p**(5\/3)*p)\/(p**(6\/5)*p))*(p**0)**(-42)*(p\/p**(-2))**(1\/25) assuming p is positive.\nAnswer: p**(-6026\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -170.\nAnswer: -169.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 6) to base 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*sqrt(24)\/sqrt(6)*2)\/(sqrt(8) - sqrt(504)\/sqrt(7)).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2065216 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-4) + 95\/((-170)\/34) + 1*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(84)\/(sqrt(12) - 3*sqrt(12)))**2 - sqrt(56)\/(sqrt(8)*1)).\nAnswer: -sqrt(7) - 1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/267, 1\/11, -5, -0.68, -6, 0 in descending order.\nAnswer: 1\/11, 0, -1\/267, -0.68, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = 2*r. Is (5 + r)\/(3\/90) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86218 - 28?\nAnswer: 86190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*p**3 - 9*p**3 + 44961*p**2 - 44960*p**2 + 6*p - 1 to the form n*p**3 + v*p**2 + s + z*p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 20 = -6*r. Find the second derivative of r*o - 3*o**4 + 3*o**4 + 2*o**4 - o wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*g**2 + 36*g**4 + 57*g**4 - 130*g**4 wrt g.\nAnswer: -888*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -424194 by 212097.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292810 is divided by 661.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x + 8 = 0. Suppose 0 = -5*u + 2*c + 377, u + u - 147 = -3*c. Suppose u = -3*v + 6*v. Solve 2*l + 3*q = -x*q - v, -q - 5 = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 equal to 6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3*n + 11*i**3 + 4*i + 5944275*n + 33198 with respect to n.\nAnswer: i**3 + 5944275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 12) in base 6?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 + 0*h**3 + 86*h**2 - 3*h**3.\nAnswer: h**3 + 86*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-4 - (-9 - -10 - -4)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 27*w + 72 = -30*w, 0 = -2*w - 4. Solve -31 + a = 9*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - m**2 + 3*m + 3. Let p be t(-2). Let b be (p - -3) + (-1)\/1. What is the second derivative of 2*n**3 + 2*n**3 + n - 5*n**b wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 989*m**3 - 20*m**2 + 11*m + 21980880?\nAnswer: 2967*m**2 - 40*m + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-9)*(12\/10 + -1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g - 4*g + 2*g**3. Let d = 15 - 12. Let y(v) = 24*v - 16*v - 8*v + d*v**3. Calculate -7*f(q) + 4*y(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.09 in 1\/3, 2\/5, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 15, p: 3}?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 67. Let n be 26*y\/14 + 3 + 1. Factor 0 - 2\/7*u**2 + n*u.\nAnswer: -2*u*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((11 - (13 + -2)) + 7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 756 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w + 50. Let c = -19 - w. What is the third derivative of -4*g**3 + 0 - c*g**2 + 14*g**2 + 0 wrt g?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.37035 - 30927?\nAnswer: -30966.37035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4\/6 - 19315*b**3\/3 - 373069225*b**2\/6 = 0.\nAnswer: -19315, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1842709 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 15*n + 235 = -w, 0 = -2*w + 10. Calculate the greatest common divisor of 27240 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 577*x - 4515. Is r(28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 960 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3543 or 237326\/67?\nAnswer: 3543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1670, 1673, 1676?\nAnswer: 1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 + -112. Which is the third smallest value? (a) -0.7 (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 6*f - 2*f)*(-3445 - 3619 + 85 + 304 - 691 - 2030) in the form g*f + k and give g.\nAnswer: -18792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2\/25 (c) 2 (d) 0 (e) 10\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -9 + 1. Suppose -5*i + 2*k + 19 = k, -r*k = -i. Suppose 5*f = -5*z + 20, -5*f - 12 = -3*z - i*f. Calculate the least common multiple of 14 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -19*j**3 - j**2. Let t be a(1). Let y = -77 + 59. Which is greater: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1507 in -460, 1\/2, 0.4?\nAnswer: -460","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.57 + 0.92. Let l = 4.35 - h. Which is the closest to -2\/9? (a) 1 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 4:25 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 522453 and 17799?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68055*r**2 + 670245 wrt r?\nAnswer: 136110*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 0 - 2 + 12*y**2 + 2. Let l(v) = v**2 + 4. Let i(g) be the third derivative of -g**3\/6 - 7*g**2. Let n(c) = 4*i(c) + l(c). Determine s(n(p)).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 282 = -2*d - 7*k, d = 3*k + 126. Let n = -131 + d. Calculate the lowest common multiple of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-51) + (-4186)\/(-34). Let z = w - -89. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d + 4. Let x(v) = -5. Let i(w) = -2*w. Let u(p) = 3*i(p) + x(p). Give -5*c(n) - 4*u(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*h - 8 = -129*h + 2*r, r + 14 = 5*h. Let d be (-1)\/2 - (-7)\/2. Solve -t - h*m = 7, -5*t + 15 = -2*m - d*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j*j**43*j*j*j\/(j*j**(-18)\/j*j*j)*j**(-45)*j*j**(-18) assuming j is positive.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 - 47*c\/2 + 2209\/4.\nAnswer: (c - 47)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.61 - -0.61. Which is the third biggest value? (a) 1\/5 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 3*u**2 + 5*u - 108. Calculate n(0).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/13 - 3134*x**3\/13 + 111096*x**2\/13 - 1326240*x\/13 + 5291136\/13 = 0 for x.\nAnswer: 12, 1531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1032738 or 1032732?\nAnswer: 1032738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = c + 3*f, 5*c - 4*f + 14 = -4. Let q = -3 - c. Suppose -l = -q*k - 0 - 7, 2*k = l - 6. Solve l = -s + 4*s + 4*a, 5*a + 2 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 752\/417 - 18681\/13622. Calculate the common denominator of k and -74\/861.\nAnswer: 12054","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(369\/4)\/(-1). Let m(h) = -h + 69. Let d be m(66). Let l(j) = -367*j + d + j**2 - 4 + f*j + 0. Calculate l(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 81 = -2*m. Calculate the remainder when 71 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -227946 - -5?\nAnswer: -227941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**2 + 5*m. Let v(h) = -2*h**2 + 3*h. Let g be 1 + -1 - (7 - 4). What is g*l(p) + 5*v(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10d (base 15) to base 4.\nAnswer: -3232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3880922 is divided by 19024?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1616 and 11817?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3031*y = -2135*y + 408114 for y.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -19*g**2 - 127*g - 84. Let t be n(-6). Which is the third smallest value? (a) 4.4 (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1245 - 3.69.\nAnswer: -3.5655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 890026.6mg in micrograms?\nAnswer: 890026600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/6*(-1144)\/156*6\/(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnjnnnnnnnnjnnnn. What is prob of picking 2 n and 1 j?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.54, -1\/77, -100, 0.5, -2\/7 in ascending order.\nAnswer: -100, -0.54, -2\/7, -1\/77, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -21. Let l be -4*z\/(-12) - 1. Let y = -0.538 + -0.462. Which is the closest to y? (a) -0.07 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 619.681857 rounded to 2 decimal places?\nAnswer: 619.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1969035 is divided by 1606?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*l - 1. Let w be ((-10)\/(-8) - l)\/1. Let j = -7 - -3. Which is greater: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/49, 751\/7, 1\/2?\nAnswer: 751\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -13*s**2 - 1. Determine u(-2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -486.0000323 + 486. Round g to 6 dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -24*z + 19*z. Suppose 7 = -5*p - z. Let y = -292 + 1463\/5. Sort p, 2, y, -0.5 in descending order.\nAnswer: 2, y, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611437087 greater than or equal to 611437086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**2 + 2*x**2 + 14*x - 144 + 10*x = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 27*f - 45. Let m(k) = -80*k + 134. Suppose 32*c = 27*c + 715. Let h = c - 154. Let i(t) = h*z(t) - 4*m(t). Differentiate i(x) with respect to x.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 24*u**2 + 122*u - 13. Let x be h(17). Calculate the greatest common factor of x and 1615.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-5\/3)))\/(q*q\/q**(1\/3))*(q*q**0)**(-13\/2)*q**(2\/7)\/q**(-1\/4)*(q**(-2\/3)*q)**(-30) assuming q is positive.\nAnswer: q**(-1621\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -15)*-2 - (-555)\/39?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12288 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 7 + 11 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70417.7 millilitres to litres.\nAnswer: 70.4177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 126, 96, 46, -24, -114, -224, -354?\n\"Answer: -10*l**2 + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5767\/(-553) - 9\/(-21) - -13. Solve w*r + 21 = 3*c, -r - 12 = c - 3*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {o: 3, w: 3, k: 1, x: 2, c: 2, n: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*m - 888*m = -383*m - 12714 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -7. Let d(w) = -w + 9. Let u be d(n). Let o(v) = 12*v**2 + v - 1. Let a be o(u). Solve -4*t - a = -0*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f*f**(-4))\/f)\/f)**(28\/3)\/(f**(-1\/3))**(2\/5))**19 assuming f is positive.\nAnswer: f**(-3534\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*v**4 - 38*v**4 - 1 + 137*v**3 - 48*v**3 + 14*v**4 - v**2 + 13*v**4 to m + n*v**4 + h*v + q*v**2 + k*v**3 and give k.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 11*s - 8. Suppose -4*y - y + 445 = -5*k, k + 86 = 4*y. Let a be k\/11 + 12 + (-260)\/22. Determine u(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16802.\nAnswer: 2, 31, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3090\/29760 + (-7 - -7)\/(-5) and 19\/80.\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 5407732.\nAnswer: 48669588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -2)*16\/96?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -9\/2006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -16\/3818557?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (5 - (4 - (-7 - -6)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z**(-4\/13)*z*z*z)\/z*(z*z*z**(-4))\/z*z)\/((z**12\/z)\/((z\/z**1)\/z)) assuming z is positive.\nAnswer: z**(-134\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:45 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**8\/56 - 3*o**7\/70 - o**6\/20 + 153*o**2 + 2. Find q such that b(q) = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 divided by 104.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 476, 481, 496, 527, 580, 661?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -30796162 to the nearest 100000.\nAnswer: -30800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7707.76776us to weeks.\nAnswer: 0.000000012744325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(99)\/(sqrt(72)\/(2*sqrt(8))) + -4.\nAnswer: -9 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**7\/420 + s**6\/240 + s**5\/60 + 4*s**2. Solve d(n) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 + 6 + (-2127083)\/(-21329)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by -51\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 5. Let r(m) = -10*m - 22. Let g(i) = -10*i - 21. Let s(c) = 4*g(c) - 5*r(c). What is -11*o(h) - 2*s(h)?\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 26, 38, 46, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6 + -42.\nAnswer: -43.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 171079, 684511, 1540231, 2738239, 4278535, 6161119?\n\"Answer: 171144*k**2 - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505 + 3527 = 18*g. Suppose 0 = 2*y + 5*v - 119, -4*y = -4*v - 0*v - g. What is the remainder when 169 is divided by y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125353378 divided by 6\nAnswer: 62676689\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43796756.\nAnswer: 2, 10949189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217.9528m to kilometers.\nAnswer: 0.2179528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5082*f**2 + 6297*f - 2 wrt f.\nAnswer: -10164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 11, k: 1}. Give prob of picking 2 m.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 22*b**2 - 43*b + 33. Calculate the remainder when l(-20) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 a when three letters picked without replacement from {d: 3, g: 3, c: 2, a: 5, l: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.058 * -4.\nAnswer: 8.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 206314, -3\/5, -0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*a - 4. Suppose a = -4*m + t + 252, 0 = 4*m - 4*t + 5*t - 252. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.69903 + 0.6899. What is m rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 - (-94 + 135 + -77).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o - 36573 = -5*f + 26*o, -5*o - 14643 = -2*f. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 10:42 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 420457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o*o*o\/(((o**(-1\/6)*o)\/o)\/o))\/(o**1*o*o)**2)**23 assuming o is positive.\nAnswer: o**(-253\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1))**(-20)*z\/z**(-4)*z**(1\/7) assuming z is positive.\nAnswer: z**(-244\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210655, -842632, -1895927, -3370540?\nAnswer: -5266471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 308\/1386 - ((-3740)\/(-9))\/(-2). Solve -3*r - 208 + l = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35325 - 15824. What are the prime factors of r?\nAnswer: 19501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119654571 take away -18.832?\nAnswer: 119654589.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*(r*(r\/(r\/((r\/(r**6*r))\/r)))\/r)\/r*r)\/r)\/(r**(-2\/7)*r))**27 assuming r is positive.\nAnswer: r**(-1269\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.068767ng in micrograms?\nAnswer: 0.004068767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/274319 and -85\/6.\nAnswer: 1645914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*(-99)\/(-66)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 - a**2 + 1. Suppose 4*g + 25 = 8*g - j, 5*j = -g - 20. Let d(p) = p + p**2 + 0*p - 7*p + 6. Let b be d(g). Calculate y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.49 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -7595.68699.\nAnswer: -7595.18699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-9) - 4\/6. Let x be 96\/28 + (-4 - (-75)\/21). Suppose 0 = x*o + 3*o - 30. Solve 5*n = -3*k - 10 - 5, o*k = r*n - 25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125980714 + 87260714. What is c rounded to the nearest one million?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*a - 48*l + 203, -5*l + 91 - 75 = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3947886687 to the nearest one million.\nAnswer: 3948000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2320\/(-64))\/29?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.85, -0.17, -2, -3\/4, 0.1 in descending order.\nAnswer: 0.1, -0.17, -3\/4, -2, -2.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**5 - 18113363*m**4 + m**3 + 4024*m**2 - 221 wrt m?\nAnswer: -120*m**2 - 434720712*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5979678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50432647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5214*d**5 - 281*d**2 - d - 1 wrt d.\nAnswer: -312840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 45615567, 45615564, 45615561, 45615558, 45615555, 45615552?\n\"Answer: -3*k + 45615570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 11\/2, 1\/8, -4.\nAnswer: -4, 0.1, 1\/8, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 16)\/(8\/1600). Let o = -1543 - k. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -61*p**3 - 3*p**2 - 3*p + 5. Determine i(1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 3 in descending order.\nAnswer: 3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*y - 2 - 6*y + y)*(0 - 1 + 2)*(0*y + y - 5*y) to the form s*y**2 + z + t*y and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 43. Suppose -146 - 52 = s*p. Let w be p\/(-6) - 18\/(-12). Calculate the greatest common divisor of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2956728 + -76?\nAnswer: 2956652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-112))\/(3 + 231\/(-99))\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {v: 6, a: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 6*s**3 + 8*s**3 - 13*s**3)*(3 - 2*s - 3).\nAnswer: -2*s**4 - 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 5. Let x = k + 4. What is the second derivative of -3*o**3 - 2*o**x + 2*o**3 - o + 4*o wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39450129314 and -5?\nAnswer: 39450129309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10226 is divided by 10169?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/21)*h*h**(1\/21) assuming h is positive.\nAnswer: h**(20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*h = -2, -5*h + 6*h = -2*i - 5. Let d = i - -7. Suppose -37 = -2*w - d*c, 0*w + 19 = -w + 5*c. Solve 0 = -w*n + 2*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532227.\nAnswer: 3, 177409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + (2 - 1) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 4*v**5\/5 - v**4 - 40*v**3\/3 - 16*v**2 + 139. Factor f(s).\nAnswer: 4*s*(s - 4)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2)\/(d\/(d*d*d**(-3\/8)*d)))\/(d**(-6)*(((d*d*d**(-6)*d)\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h + 0 - 5 + 11*h - 7*h**2 + h**3. Let w be o(6). What is the closest to -0.1 in 0.3, w, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1004, 1871, 2738, 3605, 4472?\nAnswer: 5339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34, 34, 22, -8, -62, -146, -266, -428?\n\"Answer: -o**3 + 7*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 105. Let g(c) = 3*c**2. Give l(g(d)).\nAnswer: 9*d**2 - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**2. Let r be o(-1). Let z be 40\/85*r\/(-4). Let y = 4391 + -4390. Which is greater: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*j + 18 = 0, 0 = j - 3 - 1. Suppose 4*x - 112 = -4*g, u*g - 3*x = x + 68. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0 - 2 = -2*f, 0 = -5*j + f - 1. Solve 0 = x - j*x + 1, 5*x + 14 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*a - 0*a + 142, -2*k + 184 = -5*a. Is (-296)\/a - 2\/9 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*g + 194*g + 87*g - 521*g to the form b*g + u and give b.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 655*r + 341 = -683*r, r = 2*s - 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + d = 26, 79*n - 6 = 80*n - d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 + 40*x - 15. Let r(m) = -m**2 - m - 1. Let b(c) = j(c) + 10*r(c). Factor b(z).\nAnswer: -5*(z - 5)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 0.5. Let u = q + 0.6. Put -1, u, 0.4 in descending order.\nAnswer: 0.4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 16*z = 0. Let j(f) = -2*f - f + 0*f + z*f. Let m(r) = r**2. Give j(m(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16427240 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344 divided by -652.\nAnswer: 86\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**3 + 53*x**3 - 22*x**3 + 59772*x**2 - 59772*x**2 + 8*x**3 - 22*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156632136 and 16728.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/4)\/((-54)\/(-360)))\/((-25)\/30)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2248 + 2256. What is the remainder when 38 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5a2 (base 13) to base 12\nAnswer: -695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -313, -2.4, -0.2 in decreasing order.\nAnswer: 2\/3, -0.2, -2.4, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 10*d**2 - 192*d + 44. Let b be c(19). Let n = 1 - 1. Suppose b*y = -n*y + y. Solve -m + 6*m = y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = n + 237, x = 2*n + 336 - 97. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 12*h + 1 = -x, 0 = -4*h + 4*x + 4. Sort 23, -2, -5, h in descending order.\nAnswer: 23, h, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 948 = -7*b. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131.21 - 131.01. Let k = -0.7 - 2.3. Which is the nearest to -2\/7? (a) x (b) k (c) 18\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*g**4 + 23\/2*g**3 + 5\/2*g + 31\/2*g**2 - 3 = 0. What is g?\nAnswer: -6, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) 2 (b) 1475 (c) 1.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 302, 2, 144 in increasing order.\nAnswer: 2, 144, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 = -1. Let p be -6 + f - (7 + -9). Let g be (-17)\/p + 6\/10. Solve -r - r + 1 = -t, -g*t + 23 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 5*h**2 - 9*h - 9. Suppose -15*n = -11*n - 8, -3*o = 5*n - 25. Calculate the smallest common multiple of o and f(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(684)*-2.\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -6*y + 115. Let g = y + -20. Let p = 183 - g. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 11. Let r be (-6)\/z + 27\/6. Solve t + 14 = 5*d + 2*t, -r*d = -3*t + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 91946 (c) -8 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (3\/7 - (-108)\/42). Let l(k) = k. What is l(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*r - 6. Let h(t) = -34*t**3 + t**2 - 2*t - 1. Calculate the lowest common multiple of 4 and h(r).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p**2. Let d(h) = -2*h**2 + 105*h + 288. Give d(x(o)).\nAnswer: -98*o**4 - 735*o**2 + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -18436 != -18436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91.5 + -95.5. Which is the closest to r? (a) -5\/2 (b) 0.3 (c) -15 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624 = 91*k - 87*k. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, s: 3, a: 2, n: 6, f: 1}. Give prob of sequence fs.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - x - x + (5 - 3 + 0)*(3*x - 2*x - 3*x) - 430 + 430 - 580*x.\nAnswer: -586*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3429 + -11111?\nAnswer: -1453a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 7, -1\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242779\/7 + -34740. Let k = -57 - v. Suppose 2\/7 + k*q**2 - 4\/7*q = 0. Calculate q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 15*s = 4*g + 156, g - 80 = -3*s. What is the remainder when -3 + -2*(3 - -14)*-4 is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2749.\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7472 - 84*a**2 + 7472.\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 3. Suppose -2*h - 83 = 5*m + 35, m - 2*h + 26 = 0. Let r = -16 - m. What is the remainder when r is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -399.89 - -382.551. Let r = s - -17.3390007241. Round r to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10021254*z - 28025499 wrt z?\nAnswer: -10021254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112095 and 0.06.\nAnswer: -6725.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -377*f**3*h**2*o**3 + 1182*f**3*h*o**3 - 2*f**3*h*o**2 + 20*h**2*o**2 + 4*o**3 - 3*o wrt h?\nAnswer: -754*f**3*o**3 + 40*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6941278 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s - 16*s - 2 + 21*s. Give y(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789828 is divided by 720?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/331 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3\/4 + 19925*f**2 - 317843465*f\/4 + 952096335\/2.\nAnswer: -5*(f - 7967)**2*(f - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 3 - k - 16*k**2 - 5 to the form t*k + j*k**2 + z and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-1)\/((-12)\/705). Let c = -473\/12 - a. Suppose -k = 2*x + 41, -2*k = -3*x + 27 + 27. Calculate the common denominator of c and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 7*t - 2*u - 78, -2*u + 62 = 3*t. Let v be ((-9)\/(-12))\/(5\/t). What is the second biggest value in 0.4, -0.1, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15347, -13748, -12149?\n\"Answer: 1599*o - 16946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20111854781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 121 + 189 = 0. Let y = 70 - n. Let d(z) = -7*z - 4. Let t(o) = 11*o + 6. What is y*d(i) + 5*t(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15443 - 1466 = -6499*u - 3911 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + 10)\/(1\/(-2)). Let g be 6\/y*(-7)\/(42\/16). Find the third derivative of -8*j**3 - 4*j**2 + g*j**2 + 8*j**2 - j**2 wrt j.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -3.3, 0, -1, 3 in decreasing order.\nAnswer: 3, 3\/2, 0, -1, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a - 2*u = -13*a - 21, 13 = a - 4*u. Solve 10*w - a*w = -10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 28 = 73. Let z(p) = 1. Suppose k + k = -2. Let s(h) = -h**2 + 4. Let b(r) = k*s(r) + t*z(r). Give b(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7732 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*r - 24 = 0, 0 = c + 2*c - 5*r - 12. Suppose -18 = -15*g + c*g. Calculate the greatest common factor of g and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51231 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 times 51?\nAnswer: 4437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) 15\/53 (c) 0.02 (d) 0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by 89.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) 1 (b) 0 (c) 0.5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o. Let s(r) = r**3 + r**2 + r + 1. Let n be s(o). Suppose 9 = -5*v - 1. Sort v, 2, n in increasing order.\nAnswer: v, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -102 - 99 - w + 201. Let f(v) = -60 + 60 + 16*v**2. Let m(d) = -3*d**2. Let i(x) = 6*f(x) + 33*m(x). Determine i(s(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 185 = -2*x - 171 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 37*s + 15631. Give z(-111).\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 + 0*h**3 - 37 - 50 - 43 + 116 - 8*h**3 to the form o*h**2 + j*h**3 + k*h + b and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97354*z + 5822*z - 111850*z - 139346*z.\nAnswer: -342728*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 13*c**2 - 11*c - 2. Let i be w(12). Suppose -5*a - 4*q - i = 0, -5*a = 3*q - 0*q + 10. What is the nearest to -1 in -3, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 8970957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -1.033828?\nAnswer: -1.133828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779222097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a. Let h be 81\/15 + (-3)\/(-5). Let b = h + -6. Let p be g(b). Sort -2, -1, p in ascending order.\nAnswer: -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2 - 2*l. Let g be p(3). Let o = g - 33. Calculate the highest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-5))\/((-12)\/(-24)). Which is the nearest to 0.17? (a) -2 (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*p + 9. Suppose -6 = 3*n, -2*k + 0*n - n + 4 = 0. Calculate the lowest common multiple of (6 - (-1 + k))*5 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1885, -7385, -16543, -29353, -45809?\n\"Answer: q**3 - 1835*q**2 - 2*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -3*x**2 + 5\/6*x**3 + 0 - 1\/12*x**4 - 4*x. Solve i(m) = 0 for m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - b**3 + 4*b**3 + (-3*b + 12*b + b)*(0*b + b**2 + 0*b).\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 25 = 4*w + n, 0 = 2*w - 4*n + 8. Let c = -8 + w. Let j = 8 - c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 6. Let r = i + 3.2. Which is the nearest to r? (a) -2\/11 (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816206.1 rounded to the nearest ten thousand?\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33535 - 33568.75. Is d greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 6:48 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4532 + 4530. Sort -16, 5, o.\nAnswer: -16, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -713 + 859.9. Let k = r + -109. Round k to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + 1 + sqrt(468)) + -2*(sqrt(468) + 2*sqrt(468) + sqrt(468)) + sqrt(468) + sqrt(468) + 5 + sqrt(468) + 0 + -1)**2 + -5.\nAnswer: -840*sqrt(13) + 23027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(sqrt(5) - (sqrt(5) + -2*sqrt(45))))**2.\nAnswer: -6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*i - 341*i - 347*i + 1348*i - 322*i + 4*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1\/2 (c) 3\/5 (d) 4 (e) 5 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u**2 - 4*u**2 + u + 0*u + 0*u - u**4 - 25 + 73 in the form p + l*u**4 + o*u**3 + a*u + g*u**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 l when three letters picked without replacement from {z: 6, l: 12}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k**2 + 5*k - 7. Let u(i) = 10*i**2 + 6*i - 8. Let x be (2 - 11) + 2 + 1. Let p be 2\/4*(6 - x). Give p*s(y) - 5*u(y).\nAnswer: 4*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**(-36)*q)\/q)**(14\/13))**(5\/3) assuming q is positive.\nAnswer: q**(-2380\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -48*y**3 - 2*y**2 + 2*y - 1. Suppose -2 - 3 = -5*a. Let l be q(a). Let p = 69 + l. Solve 3*w + 2*w - p = -5*h, -h + 5*w = 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 0. Let f be (0 + h)\/((-16)\/4). What is the smallest value in f, 0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*a)*(-5*a**3 + 4*a**3 - 3*a**3).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 4, j: 12, x: 2}. What is prob of sequence mbj?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 + 1.2. Let r be 1\/4*(-872)\/812. Let c = r + -1\/58. What is the closest to u in -2, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsrr when four letters picked without replacement from {x: 1, s: 1, r: 1, a: 3, i: 5, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -100146, -94564, -85260, -72234, -55486, -35016?\n\"Answer: 1861*q**2 - q - 102006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -502584955 from 4.08757.\nAnswer: 502584959.08757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/10 + -11\/5. Let f be (1\/(-349))\/(10\/(-4)). Let z = f + -40159\/20940. Find the common denominator of x and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 - 17 - (-18 - -26)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c = -120. Let h be -2*2\/c*-5. Let w(y) = y**3 + 8*y**2 + 2*y + 12. Let b be w(-8). What is the second smallest value in -3, b, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from jhmmhkhjjmhpjpphjm.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 13 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2650104 - -50?\nAnswer: 2650154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 599 - 570. What is the closest to -0.2 in 0.2, z, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**3*o*t**2 + 25*i**3*t*u + 2*i*o*t**2*u + 14*o*t**2 - 5*u wrt u?\nAnswer: 25*i**3*t + 2*i*o*t**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28\/27 - -254\/297. Let k = -19.2 - -19. What is the smallest value in k, 5, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 26 = -5*i + 4*s, 70 = -5*i + 45*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - v - 4. Let w be a(3). Suppose -o + w = -0*o. Calculate the highest common divisor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36976685 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/3)*n)\/n**19*((((n\/(n**(-3\/14)*n))\/n)\/n)\/n)\/n**13 assuming n is positive.\nAnswer: n**(-1405\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096828869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 15 + 6 + 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*t + 3. Suppose 0 = 3*c + 4*l - 839, -4*c + 0*c = l - 1123. Let o = c - 1970\/7. What is the closest to 1 in t, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-12*16\/5856))\/((4\/(-1))\/8)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 527972221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011010110 (base 2) to base 12.\nAnswer: -101a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 535412415?\nAnswer: 535412423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.08 (c) 1\/3 (d) 154\/277\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -3, 4.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51584*t + 51579*t - 103164*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -868 + 956. What is the highest common divisor of b and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123131133 - -1?\nAnswer: -123131132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 4:41 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y - 4*k - 112 = 0, 2*k = -5*y - 146. Let q = 33 + y. Determine g, given that 1\/2 + 5*g**2 - 5\/2*g - 5*g**q - 1\/2*g**5 + 5\/2*g**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 53*o**2 - 8*o - 59. Let p be k(15). Suppose 4*c = -10*c + p. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 6073.\nAnswer: 5\/6073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007799 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 8*j**2 - 19*j + 6. Let s(i) = -i**3. Let d(g) = -2*s(g) - u(g). Let h be d(6). Calculate the greatest common divisor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**4\/24 + o**3\/6 - 2*o**2. Let x be 12\/(-8)*(1 - (6 - 1)). Calculate q(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-19 - 1) + 48?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*t + 47. What is the fourth smallest value in t, -4, 0.04, 1.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*o + 647*o**4 + o**5 - 22*o + 68*o**2 + 655*o**4 - 1306*o**4 - 30*o**3 = 0. What is o?\nAnswer: -5, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/2, 0.04.\nAnswer: 0.04, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(18\/5)\/(((r**(-11)*r)\/r)\/r) assuming r is positive.\nAnswer: r**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 66*k + 1056. Let m be q(26). Solve -2*n - 10 = 3*z, -2*n - 2*n = -3*z - m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6348 is divided by 127.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143 - -145. Calculate the least common multiple of 11 and (s\/(-5))\/(14\/(-70)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1503 + -314. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzz when three letters picked without replacement from rrnzyenyzyynyy?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2105305 + -1?\nAnswer: 2105304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.480198 meters to millimeters.\nAnswer: 9480.198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, k: 8, h: 2, o: 2}. Give prob of picking 1 h, 1 k, and 1 o.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/6)\/(0 - -3 - 14\/(-420)*-86)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 5:36 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**2 + 6 + o**4 + o - 5 + o**2 - 4 - 14*o**2 - 2*o**3 to the form c*o**3 + u*o + v*o**4 + x*o**2 + m and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 156349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1230*l**3 + 661*l**3 + 628*l**3.\nAnswer: 59*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/9))\/(l\/(l**(-1)*l))*l*(l*l**(-2\/15)\/l*l)\/l*l**(-1\/4)\/l*l assuming l is positive.\nAnswer: l**(71\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192\/6 + 1\/1.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -23*v**2\/2 - 72*v - 4. What is the tens digit of f(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 248181 + -174764. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2090\/1411 - 26\/17. Let p = -5061359769\/1411 + 3587073. Let f = w + p. Which is the biggest value? (a) 1\/10 (b) -2\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Let w = 0.23 - -10.77. Let t = w - 11.5. Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/16)\/((-11)\/(-462)*665\/76)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((28\/(-7))\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*o + 27*o + 59*o**5 - 54*o + 3*o**4 + 41*o wrt o?\nAnswer: 1180*o**3 + 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, l: 1, v: 3, w: 5}. Give prob of sequence zwv.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from zyqggggqgggqgqnqgqgg.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-260)\/12 + 19)\/((-1)\/18*3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -10, -31, -4682 in ascending order.\nAnswer: -4682, -31, -10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2838 - 861. Let r(z) = -s + 1977 + 4*z. Let g(b) = b. Let p = -50 + 30. Give p*g(j) + 6*r(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, -62, -145, -264, -425, -634?\n\"Answer: -b**3 - 9*b**2 - 19*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynuyunnnn. Give prob of picking 2 n and 2 y.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -1\/6 (c) 1\/8 (d) -14\/67 (e) 2\/177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*g + 28, 9*r = 4*g + 5*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15515345 + 313?\nAnswer: -15515032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26.3 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 193563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, -407, -1, 7 in ascending order.\nAnswer: -407, -4, -1, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51\/4 in -0.4, -11\/20, 5, -0.5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 62\/(-930) + (-224)\/15 + 205\/5\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -15 in ascending order.\nAnswer: -15, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - -1 - (6196 + -6146).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 51*n**2 - 16*n**2 + 48 - 32*n**2)*(6*n - 4*n + n) as q*n**2 + c*n + j*n**3 + f and give c.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g**3 - 62*g**2 + 53*g - 1. Determine a(7).\nAnswer: 762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23b (base 13) to base 6.\nAnswer: -1444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 6:53 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2 + 70*n + 38. Let y be p(18). What is the closest to -2 in y, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 11*v**2 + 12*v + 25. Calculate x(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 26*p + 6*p)*(-p**4 + 0*p**2 + 0*p**2).\nAnswer: 22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54730?\nAnswer: 2, 5, 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + j - 23 = -2*l, -5*j - 5 = -5*l. Suppose -5*n - 1 = -11. Let v be -4 + 8\/n + 3. Solve -22 = 2*w + l*p, 0 = w + 3*w + v*p + 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6504 is divided by 465?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*f = 59*f - 6*u, -41*f + 42*f + 3*u - 1 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 261\/27 + 2*(-3 + 24\/9). Let r(o) = -17*o + 153. What is r(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - -1 - (5 - 5). Suppose 2 = -4*k - c*b, 7*k - 2*k + 20 = b. What is the common denominator of k\/((-54)\/31) - 1 and 65\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 1. Let y(a) = -3*a + 19. Let o(u) = -5*v(u) + y(u). Let i be o(-7). Solve -4*w + i = -4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {v: 3, l: 2, o: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 97690.17l?\nAnswer: 97690170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 e when three letters picked without replacement from eeeeeeoeeeeeooe?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 297017 to the power of 1\/2, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l - 9. Let t be 0 - (l - (1 - 0)). Let v be (165\/(-6) - t)*-2. What is v rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10*t + 10 = 0, 3*t = -4*x + 10. What is the second derivative of 4*p**3 + 3*p**3 - x*p + 2*p**3 wrt p?\nAnswer: 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + u**2 + u - 142. Let o be v(0). What is the tens digit of o\/(-5) + (-20)\/50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*y + 5*b, b - 14 - 10 = 3*y. What is the tens digit of (-174)\/y + (-24)\/32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21278 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(162) + -1 + sqrt(162))*1.\nAnswer: 3 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 35*q**6 - 5*q**5 - 47*q**2. Let c(y) = -52*y**6 + 8*y**5 + 71*y**2. Let g(h) = 5*c(h) + 8*p(h). Find the third derivative of g(d) wrt d.\nAnswer: 2400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.64425976 to 1 decimal place.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 4:38 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/3*(-1 + -4). Let i be (6 + -1 + 0)*1*-1. Let r be 1\/i*(-3 + 15 - 32). Solve -3 - m = -r*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 138385848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -205*q - 17. Let s be x(-6). Suppose -r + s = 3*p - 5*r, -4*p - 3*r = -1634. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*m + 174*m + 8995 = -2533 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, y: 8}. What is prob of sequence aay?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 6:13 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 47*h**2 - 195*h - 2136. What is v(41)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 + 11*l**2 + 16 + (-1 + l + 1)*(0 + 0 - 2*l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74508, -74514, -74518, -74520, -74520, -74518, -74514?\nAnswer: -74508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 2.3150180498?\nAnswer: 2.6150180498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-75)\/10)\/(-15)*100. What is the greatest common factor of 190 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1153 - 1151. Let q be 4 - (7 + -12 - g - -7). Let m = 6 + -1. Solve -q*a - m + 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 749078412 to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491415853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 33484863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (260\/((-486720)\/12519))\/(3\/48)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*(sqrt(114)*3 + sqrt(114)))\/((3*sqrt(432))\/sqrt(8)))**2.\nAnswer: 4864\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (0 - 3))\/1. Solve -2*z = -h - 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/6*(-20)\/75)\/((-5)\/150). What is the greatest common factor of 1055 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 6*g - 6. Let j be b(-4). Let k(v) = -2 - 59955*v**2 + v - 1 + 59959*v**2. What is the lowest common multiple of 36 and k(j)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 7640*d + 7644.\nAnswer: -4*(d - 1911)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/106, 0.5, -4.\nAnswer: -4, 5\/106, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*o - 77*o = -86 - 609. Solve 12*z - o*q = 10*z + 31, 0 = z - 3*q - 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -17. What is the common denominator of 7\/19 and z\/6*(-354)\/32?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -26*a + 8. Let y(n) = -38*n**2 - 1982. Calculate y(v(p)).\nAnswer: -25688*p**2 + 15808*p - 4414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22460 is divided by 2495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1589908?\nAnswer: 2, 17, 103, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 + 3 + 13 - (-4 - (-17 - -5))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -834*m = -839*m - 3*u + 16, -m - 8 = -5*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one halves of a century?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60640*g - 5216 = -60966*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.943156 rounded to one decimal place?\nAnswer: 18.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.528 + -3.528. Which is the closest to 2\/5? (a) 8 (b) -0.5 (c) 1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.26655 + -4.3468. Let i = 4.08 + t. What is i rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (9 - (10 + -4 - 17 - -51))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 2\/19 (b) 3 (c) 3865 (d) -436\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71\/3 - 24. Let w = -19 + 18.9. What is the closest to q in w, 16, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*h + 57, -5*t - 2*h - 112 = -155. Solve -t*x - 58 = -102 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -123, -337, -653, -1071, -1591?\nAnswer: -2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 25586316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3888567 divided by 1?\nAnswer: -3888567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -3*u + 18, 0*u - 3*b + 13 = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**4 + 2164080*a**3 - 292730771988*a**2 + 7609848821480*a - 42145129157184 = 0?\nAnswer: 8, 18, 270497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432363 is divided by 144121.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-5))\/(14\/(-35)). Let a be (c + -14)\/(3\/(-6)). What is a rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(0 - -2)*(-68)\/(-12). Solve -r - 3*b - l = 0, 4*b = -2*r - 0*b - 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -673\/9. What is the fourth biggest value in 18, -0.5, a, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687169389?\nAnswer: 3, 41, 5586743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p + 1. Let z be a(-4). Let o = -11 - z. Suppose 0 = -3*y + 7*y - o. Solve 0 = 4*m - y*h + 22, -2*h + 6*h - 24 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**5 + 45*j**3 - 5*j**2 - 13*j wrt j?\nAnswer: 240*j**2 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24560\/7491 - 4\/681. Calculate the common denominator of -5\/3 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69244*c + 138828*c - 69415*c.\nAnswer: 169*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 231*l**4 - 25058*l**2 - 49024333.\nAnswer: 924*l**3 - 50116*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43 - 6?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*y + 34, 5*f + 4*y + 170 = -y. Does 29 divide (-1 + -11)*(f\/8 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175156598 to the nearest integer?\nAnswer: 13235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 696 and 13388952.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 825417 and 1026?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 168\/396*(28800\/15680)\/((2\/2)\/(-7))\nAnswer: -60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -9.105769?\nAnswer: -18.211538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - 2*d + 5*d)*(-3*d + 0 + 0)*(64*d + 186 - 186) as s*d + h + p*d**3 + q*d**2 and give p.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + (-175 - -139) + (11 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8477 - 8295. Calculate the greatest common divisor of y and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -22*x + 1 - 2 + 68*x - 1. Let b be u(3). Is 6 a factor of 3\/(-2)*b\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 6, t: 1, l: 4}. Give prob of sequence ccl.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - v - v)*(-1 + 1 + 4).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363, -344, -237, 18, 481, 1212, 2271?\nAnswer: 3718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 t when three letters picked without replacement from tytltltyyltlyltt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 302*d**2 - 7345*d + 46644.\nAnswer: -(d - 276)*(d - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 166 - 77. Let q(t) = t**3 - 22*t**2 + 2*t - 21. What is the remainder when c is divided by q(22)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-65) - (-40)\/50.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 31.\nAnswer: -12\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(84)\/(6*sqrt(24)\/sqrt(2))*-5 + -3 + 0 + sqrt(7) + 0 + (2*((sqrt(7) - 1*sqrt(7)) + sqrt(7)))**2 + sqrt(7).\nAnswer: 7*sqrt(7)\/6 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + p = 1, 33 - 4 = -5*o - 3*p. Let s(g) = -2*g**3 - 8*g**2 - g - 1. Let c be s(o). Is 1\/(((-6)\/(-298))\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -906 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.34, 2\/5 in increasing order.\nAnswer: -2, 0.34, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {w: 3, f: 1, z: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 + 314008.02\nAnswer: 314009.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5 + -1 + sqrt(2299) - sqrt(2299)))*4 + 3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -376, -341, -306, -271, -236, -201?\n\"Answer: 35*a - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(((-35)\/14)\/1 - -3) + 5. Calculate the highest common factor of m and 5013.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.772189 to one dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2*p**(-2))\/(((p**(-1\/2)*p)\/p)\/p)**(5\/7) assuming p is positive.\nAnswer: p**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -55, -48, -21, 38, 141, 300, 527, 834?\n\"Answer: 2*r**3 - 2*r**2 - r - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbmm when four letters picked without replacement from mbmq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(100)\/sqrt(5))**2)*3 + sqrt(20) + 3 + sqrt(60)\/(sqrt(12) + sqrt(12) + sqrt(192)).\nAnswer: -57 + 49*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -309073*a**4 + 82389*a + 2 wrt a?\nAnswer: -3708876*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -489*h + 1089. Let s(g) = -5*g + 3. Let f(l) = 6*l - 2. Calculate h*s(v) + 4*f(v).\nAnswer: 9*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*l**4 + 0 + 11*l - 53\/2*l**2 + 14*l**3.\nAnswer: l*(l - 1)*(l + 11)*(3*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -116.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8796714593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 1728*r**3 + 780*r + 100 + 1591*r**2 - 1092*r**2 + 1517*r**2 = 0.\nAnswer: -5\/12, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(48*u - 9*u + 59*u).\nAnswer: 196*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 296 = -43. Let k = n - -113\/5. Which is the fourth smallest value? (a) -2\/13 (b) -6 (c) k (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k - 606*k**3 + 1 + 605*k**3 - 6. What is the remainder when 31 is divided by t(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(3\/(-18) + 0) - (-12529 + 26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, 94, 231, 368, 505, 642?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*t + 25 - 85, 5*t - 3*q = 75. Let c = 1147 - t. Let s = c - 155. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*b + 601*b - 281*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*x - 338 - 166. What is the lowest common multiple of x and 270?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-3 + 4)**2*4.\nAnswer: -192*sqrt(17) + 2512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snu when three letters picked without replacement from omuousn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2526*i - 3 + 1113*i - 2310*i + 9*i**3.\nAnswer: 9*i**3 - 3723*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-7))\/(((-24)\/(-112))\/3)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4007880498?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8801 + 2.880057894. What is j rounded to six decimal places?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6182866486.\nAnswer: 2, 23, 31, 499, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -20.941. Let u = -0.018 - o. Round u to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 g when three letters picked without replacement from {n: 7, g: 3, p: 8}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. Let x be i*9\/24*4. Solve r = g + x, 0*r - r - g - 7 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and -1*184\/16*-2.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 745 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - s**2 + 0)*(-2 + 1 + 3 - 1 - 3 + 3 + (-3 + 2 + 0)*(-2 + 2 - 2))*(1 + 1 - 4).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 3*z. Let p be k(-2). Suppose p*l + 2*l - 16 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 11. Let q be l(-3). Let z be ((-370)\/q)\/((-1)\/(-4)). Let p = z + 270. Is p a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*u - 2. Let a(k) = 2*k**3 - 12*k**2 - 3*k - 7. Let j(l) = l**3 - 6*l**2 - l - 3. Let i(y) = 6*a(y) - 13*j(y). Let d be i(5). Sort d, u, 1.\nAnswer: d, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74599.43 millennia in months?\nAnswer: 895193160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -2*1 + -3. Suppose -4*c - 7 = -23. Suppose 0 = -3*b + c - 19. Put 6, b, g in ascending order.\nAnswer: b, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251145 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10106, -10076, -10046, -10016, -9986?\nAnswer: -9956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 12*z**2 + 67*z + 125. Calculate f(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-44 + 0 - (-95 + 88)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.830835 millilitres to litres.\nAnswer: 0.004830835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -32\/7, 0.2, 0.092?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*x - 7*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let s(p) = p**3 + 9*p**2 + 7. Let l be s(-9). Let a be 4\/2 + (-12)\/l. Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*3\/((-21)\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 4*i**2 + 2*i - 6. Let p be u(4). Factor -32*a - 4*a**p - 46 - 20 + 2.\nAnswer: -4*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 3*q + 12. Let t be x(9). Let f(h) = -h**2 + 25*h - 78. Let k be f(21). Calculate the highest common factor of k and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.223288 days in microseconds?\nAnswer: 192092083200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 5. Let l be (-18)\/(-12)*(-16)\/(-6). What are the prime factors of w(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 59, 107, 173, 263, 383, 539?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 7.4, 8231, 1\/9, 2\/3?\nAnswer: 8231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/1 - (-834)\/4470. Let u = -2\/149 - c. Is -0.1 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4746104?\nAnswer: 2, 11, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 + -1.79989. Round g to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**4\/24 + 13*q**3\/2 - 1521*q**2\/4 - 10*q + 1. Factor a(b).\nAnswer: -(b - 39)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y + 10. Let u be r(2). Let o = 5 + -5. Let s = -0.285 + -0.215. Which is the closest to 1? (a) s (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1240158 rounded to 3 decimal places?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 10 + 744. What are the prime factors of z?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u - 1. Let p be 2\/1 + (1 - -3). Let b be w(p). Let z = b + -21. Solve 3*n = -n + z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 5 - 4)*(-2 + 3 + 0)*(4*i - 2*i + 0*i) in the form r + v*i and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/10 and (-121)\/(-6) + (8\/(32 + -8))\/(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 3*d - 2. Let i(v) = -13*v + 105. Let g be i(8). What is x(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -5*n + 3*q, -3*n - 4*q + 116 = -n. Calculate the least common multiple of 32 and n.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cceiwccccccwccecre. What is prob of sequence ee?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -2765778\nAnswer: 829733.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h - 27185 = -27184. Suppose -2*w - f - 4 = -0*f, -17 = 5*w - f. Put w, 3, -0.2, h in increasing order.\nAnswer: w, -0.2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 596 and 3576?\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 483, 495, 511, 531, 555?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/725, -4\/5, 2\/31?\nAnswer: 2\/725","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8711906 years to months.\nAnswer: 10.4542872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from sssssjjss.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27, 63, 135, 255, 435, 687?\n\"Answer: 2*i**3 + 6*i**2 + 4*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 6. Let j be t(3). Suppose -j*i - i = -12. Let x(n) = -n**3 - 44*n**2 - 358*n + 58. Let o be x(-11). Solve o = 2*s + m - 2*m, -i*m = 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(11 + -12) - (-6970)\/(-238)?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185137*a**2*d - 32*a*d + 125*a - d + 80 wrt a?\nAnswer: 370274*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12, 3, -11 in increasing order.\nAnswer: -11, -1\/12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16 - 0) + 45 + -44 - 7) + 5 + 14.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.022 (b) 0.1 (c) 15\/2 (d) -0.5 (e) -2 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18114238579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**3 + 7*d**2 + 12*d - 23. Let k(j) = -7*j**3 + 13*j**2 + 25*j - 47. Let c(y) = -4*k(y) + 9*m(y). Let u be c(-10). Solve -7 = 4*n + u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 328110 = 327992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 232 = 4*v + 196, 4*v = -x + 36. Solve -v*b = -2*b - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 360608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 7)*(-1 - -1)\/9. Is r equal to -2124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r. Suppose 150 = -8*z + 94. Let n(y) = y**2 - y + 2. Let m(q) = 28*q**2 - 7*q + 14. Let j(h) = z*n(h) + m(h). Calculate f(j(a)).\nAnswer: 84*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.099 (c) 0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 221?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-5 - 1 - 2)*(4 + w - 4).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p**5 - 226*p**4 + 446*p**3 - 206*p**2 + 28*p = 0 for p.\nAnswer: -7, 0, 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 62 = 3*y, -4*m + 3*y - 73 = 157. Let p = -33 - m. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38280794 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) 11 (c) -84.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 3. Suppose 163 = m + 148. What is the greatest common divisor of u and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 45*d**2 - 488*d + 1389. Calculate w(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((39\/(-6))\/13)\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 688, 4 in decreasing order.\nAnswer: 688, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 176.76 - -4.24. Let b = t + -181. What is the closest to 1 in -2\/9, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2085.4206 - -2084. Round z to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42032818 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37718960 at least 37718962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2318, -2817, -3308, -3791, -4266?\n\"Answer: 4*v**2 - 511*v - 1811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*w**3 + 128224*w**2 - 200792*w + 5?\nAnswer: -174*w + 256448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8b - 11?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 6. Let q = 6 + n. Let y be (-5 + 10)\/(-2 + q). Solve 3*r - 7 = -2*a + 7, -a = y*r - 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5132785?\nAnswer: 5, 7, 53, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767118477?\nAnswer: 3, 4903, 52153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 = -3*x - 3, 0 = 2*b - 4*x - 10. Let v be (1 - 2) + b + 1. What is the tens digit of 0\/v + (-4 - -18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-6)\/(-3672)*9*12)\/(-3)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1783, 1986, 2189?\nAnswer: 2392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167964 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: Which is the third biggest value? (a) -2\/7 (b) -58 (c) 2 (d) -2\/321\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxxj when four letters picked without replacement from gzszxggxzggxzzzjs.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/49 and 38\/441?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 15) to base 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -913*i - 898*i + 2728*i - 901*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -19 + (114 - -23) + -22\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 1 + 300 + 384)*(-p**5 + 2*p**5 + 0*p**5 + (-1 + 1 - 2)*(-p**5 - p**5 - 2*p**5)).\nAnswer: 6048*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5923, 47755, 161557, 383395, 749335, 1295443?\nAnswer: 2057785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 36718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4541304 (base 7) to base 9\nAnswer: -1050586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.89? (a) -0.5 (b) -4 (c) 2\/13293\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3819*s + 267338. Give q(70).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -110111200012002 (base 3) to base 8\nAnswer: -31265236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1778958523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10248, -20985, -31722, -42459, -53196?\n\"Answer: -10737*f + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-8)\/6))\/((-2211)\/268).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-470 - -539) + (-1 - 6) + 2 + -11\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1951 (base 11) in base 10?\nAnswer: -2476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236529 and 1107.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 times 0.5?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-6)\/(-45)*-5. Let w(f) = f**2 + 4*f - 4. Let t be w(k). Let l(j) = -j**3 - 3*j**2 + 3*j - 5. Calculate l(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + -2)**2 - ((-2 + sqrt(19))*-1)**2) + (sqrt(19) + 0)*-1 + -5.\nAnswer: -25*sqrt(19) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -4. What is the closest to -1\/3 in x, 9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 56. Factor 5*x - x**2 + 10 - 2*x - 4*x - j.\nAnswer: -(x - 2)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10964c6 (base 13) in base 9?\nAnswer: 10528868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10380 and 8950155?\nAnswer: 35800620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 707271771 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -384, -383, -382, -381?\n\"Answer: u - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/3 + 28\/9*b - 1\/9*b**2.\nAnswer: -(b - 25)*(b - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53*s**2 - 697*s - 437638 wrt s?\nAnswer: -106*s - 697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 81136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -5*f + 45, 4*f - 13 = 4*m - 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 8*j = -99. Suppose -20 + 6 = 2*i. Calculate the common denominator of j and (-2)\/i - 51\/56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 0.577 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68666 and 5.\nAnswer: 343330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.1, 3\/1954?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 1. Let f be v(10). Let l = f + 13. Solve -l*d = 7 + 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 785 and 2860540?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 + 143*s - 3. Determine r(-48).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + sqrt(209)*-1)*4)\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-148)\/4 + -1)*13. Let w = y + 871. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5. Let g(b) = b + 1. Let o = 181 + -182. What is o*i(m) - 5*g(m)?\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*j + 33*j + 33*j + (6*j - 3*j + 0*j)*(0 + 1 - 3) as c + w*j and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/52*-4*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 223 = 5*n - 216, 0 = -p + 2*n. Sort p, 234, -3, 3 in descending order.\nAnswer: 234, 3, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 44*x**2 - 18*x - 8. Let p(l) = -43*l**2 + 17*l + 6. Let z(d) = -4*p(d) - 3*r(d). What is the second derivative of z(i) wrt i?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-449904)\/(-88) + -8 + 246\/33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 3*u = -2*y - 205, 4*u - 20 = 0. List the prime factors of (-103)\/(5 + y\/(-8)).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -11 - -1 - -18) + 1 - 164?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 5*l - 320 = a, -2*a = 5*l - 143. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -408 and 2958345262?\nAnswer: 2958345670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1109*y - 1109*y + 3278*y - 11 + 2*y**3 - 1060*y - 12.\nAnswer: 2*y**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(19) - sqrt(76)) - -3*sqrt(76)\/sqrt(4))**2.\nAnswer: 4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-10)*x)**(1\/47)*(x*x\/(x**(-2\/17)\/x))**(-26))**(3\/4) assuming x is positive.\nAnswer: x**(-97353\/1598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 27 = -14*u, u = 3*h - 172695. Does 118 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 489\/5 or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1871761*c**4 + 182*c**2 - c + 3167.\nAnswer: 44922264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 7\/6*j**3 + 0 + 5*j**2 + 2*j. What is the derivative of h(v) wrt v?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 1 - 7. Suppose c = j*t + 413, t = -2*t. Let q = c - 294. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**3 - 6*c**2 - c**2 - 14*c**3.\nAnswer: 2*c**3 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 5\/3*y**2 - 2\/3*y.\nAnswer: -(y + 1)*(5*y - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19846881949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 2 + 10*r**2 - 4*r**2)*(-3*r**2 + 4*r**2 - 2*r**2 + (2*r + 2*r + r)*(3*r - 3*r + r)).\nAnswer: 12*r**4 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 10 = 484. Suppose -9*f + 5*f + w = 3*s, 2*f = 4*s + 56. Calculate the greatest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6 - 128\/(-24). Suppose -31 = 17*z + 3. What is the tens digit of 514\/m - (8\/(-6))\/z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -19*u. Suppose -2*j = -j - u*j. Solve j*x + 3 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1013 + 109. Let m = -567 - l. Let f = m - 157. Round f to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 21\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215861 is divided by 703?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*q + 529 - 19 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*p**2 + 41*p**2 + 49*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dm when two letters picked without replacement from dddddmddmmdddmddddd?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 1980 = 4*j + 2016, 148 = -4*j - 3*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -5. Let k(r) = -3*r + 2 + 0*r + l*r. Let n be k(-7). Let t(i) = i**3 + 5*i**2 + i + 1. Calculate t(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - v - 538 = -4*v, 0 = 3*v + 6. Let u = -230 + z. Let d = u + 144. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.125, 8, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477 is divided by 93?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 520717643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1542 - -1565) + (2 - 89 - 4)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15309 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1095*k**3 + 105*k**2 + 36. Let f(n) = 219*n**3 - 21*n**2 - 7. Let p(w) = 11*f(w) + 2*o(w). Find the third derivative of p(j) wrt j.\nAnswer: 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/7 - 12700*k**4\/7 + 331200*k**3.\nAnswer: -k**3*(k - 180)*(k + 12880)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7909, 2, 1, 4, -17, 5, 0 in decreasing order.\nAnswer: 5, 4, 2, 1, 0, -17, -7909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - z + 40643 = 0, 3*z - 20314 = -6*k + 5*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 2*w + 2*w + (-25*w - 3*w - 10*w)*(-3 + 0 + 1))*(-2*w**2 - 4*w**2 + 3*w**2) to l*w + a*w**2 + f + s*w**3 and give s.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16 - -16)\/(3*1). Suppose -p - 3*a - 1008 = 0, y = -5*p - 0*p - 2*a - 5053. Round p to the nearest 10.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v + 7. Is 28 a factor of z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -287, -426, -563, -698, -831, -962?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b**3 + 18*b**2 + 7*b - 4. Let w(t) = 7*t**3 + 12*t**2 + 5*t - 3. Let f(x) = 5*c(x) - 8*w(x). Give f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {n: 1, i: 1, x: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36878 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - u**2 + u + 1. Suppose -5*h + 2 + 3 = 0. Let i(m) = 5*m + 1. Let n be i(0). Let k(f) = -3*f**3 - f. Give h*k(g) + n*o(g).\nAnswer: -2*g**3 - g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*i + 3407 = 1412 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -23*x**2\/2 + 400*x + 81. What is the tens digit of h(-45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -3*r - 14, -3*r - 11 = 2*p - 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**3 - 8*g**2 - 4*g**4 + 4*g**3 - 54*g**2 - g to n + o*g + b*g**3 + s*g**4 + z*g**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 9*i - 10. Let b be z(-10). Let q(v) = -2*v**2 - 2*v + 1. Let s be q(1). Let c be 1 - (-3)\/(s\/2). Which is smaller: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 6*g**2 + 8*g + 10. Let n be c(-7). Suppose n*x - b - 122 = 0, -3*x - 6*b + 128 = -b. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107214121 a multiple of 2071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 2625?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11 and 15\/51347.\nAnswer: 51347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83816?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 4 - 1) + 5. Solve u = -0*p + 3*p - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*b + 18, -5*h - 9 = -2*b - 4*h. Let t be (2\/6)\/(2\/18). Suppose -2*c + 48 = t*v - 35, 4*c - 4 = 0. What is the remainder when v is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 0.523.\nAnswer: 0.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f*f**1)*f)\/f*f*f)**(-30))**(-41) assuming f is positive.\nAnswer: f**2460","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30946 - 30975 = -5*i + 4*u, -3*u = -2*i + 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26582 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*n**2 + 6*n**2 - 3*n**3 + 5*n**2 wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 72*l + 7. Let o(k) = -214*k - 20. Let t(u) = -17*f(u) - 6*o(u). Let p(d) = d. Calculate t(p(m)).\nAnswer: 60*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 90952 = -2*i, 136386 = -226*r + 229*r - 3*i. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6699908 litres in millilitres?\nAnswer: 669.9908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j + 2*j + 3*j + 3*j - 4*j + 134 to y*j + o and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*j - 64 = 0, 39 = f - 4*j - 53. Let n = -45 + f. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.05. Let o = i + -0.35. Let k be 175\/98 + 2\/(-7). Which is the second smallest value? (a) o (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119213854 to the power of 1\/3, to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1547 + 1546.9. What is the nearest to 7 in 5, 0, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 14*u**2 - 4*u + 12. Let l be b(14). List the prime factors of (11 + (-3)\/3)*l\/(-4).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1772834 <= -1772835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {t: 1, u: 2, p: 1, k: 3, m: 1, y: 3}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19623 + -19608. Let b = -112\/305 - 2\/61. What is the second biggest value in l, 0.3, b, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00808288 rounded to five dps?\nAnswer: 0.00808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2213893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -2\/7, 3, 0.2, -333 in descending order.\nAnswer: 88, 3, 0.2, -2\/7, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/96*-8*85\/(-2380)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -0.4, -317, -4.\nAnswer: -317, -4, -0.4, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 1338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46781120173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 5:35 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 4, 0, -4, 2\/13, -413 in ascending order.\nAnswer: -413, -4, 0, 2\/15, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 1. Let m be (4 + 0)\/(1 + 0). Let x(q) = 3*q + 8. Let y(u) = m*r(u) - x(u). What is y(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2877.02033 rounded to the nearest 10?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4011, -4003, -3997, -3999, -4015, -4051?\nAnswer: -4113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 259 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (-63)\/(-45).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -180 + -d2?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/2020 and 33\/20?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -27, -70, -145, -258, -415?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5706429 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**(-2\/7)*r))**(7\/8)*(r**(-3\/4))**(-2\/23) assuming r is positive.\nAnswer: r**(219\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 105485.\nAnswer: 1160335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i = 19*i + 11308. What are the prime factors of i?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 7:09 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 3.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*j - 13, j - 3*j - 7 = 3*v. Let r(h) = h**2 - 6*h - 4. Let b be r(6). Put b, v, -5 in descending order.\nAnswer: v, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 20 - 26 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -69*x + 88. List the prime factors of o(-4).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-3)\/(-9)) - -5. Solve m*n + 14 = -4*w, n = 3*w - w + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2309, -5, 2 in ascending order.\nAnswer: -5, 2, 2309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1128540 and 750.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7496189 divided by -61?\nAnswer: -7496189\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*r + 47*r + 2*r + 51*r + 168 + 63*r.\nAnswer: 128*r + 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 1294?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*t + 519 = 1983 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*b**2 - 6*b**4 - 3009*b + 3010*b + 5*b**2 to the form n*b**2 + d + m*b + p*b**3 + q*b**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1851567505?\nAnswer: 5, 23, 37, 435151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-801)\/(-15) + 4\/(-10). Let p = t - 23. Is p a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 + y**2 + 2*y + 2. Let s be w(-7). Let c = s - -954. Suppose 5*k - c = -v + 357, -v = -4*k - 689. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364227613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6701783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.16 - 0.56. Round q to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/245560 and 73\/385880.\nAnswer: 2701160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -14 + 6 + 3*w + 31 + 8. Calculate the least common multiple of t(-9) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 2124?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5 - 2 + 1 + 36*h. Let d be m(-2). List the prime factors of d\/(-2) - (4 + -3)\/1.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*a - 217 = 2*w - 32*a, 4362*a + 12 = -3*w + 4359*a for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.4 - 2.5. What is the third biggest value in 8, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*b - 22, 23*y - b = 20*y + 130. Calculate the highest common divisor of 150 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 148. Suppose 0*d - 5 = -3*d - v, -4*d = 4*v - 20. Calculate the remainder when t(d) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 10.6. Let u = 1.3896 + x. What is u rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*n**3 - 788*n**3 - 2152*n**3)*(2 - 3*n - 2) - 2*n**4 + 0*n**4 + 3*n**4 + 4*n**3 - 2*n**3 + n**4 + n**4.\nAnswer: 9000*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -92, -84, -18, 136, 408?\n\"Answer: 5*y**3 - y**2 - 24*y - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, -4, -39, 1, 4, 182 in decreasing order.\nAnswer: 182, 4, 1, -1, -4, -12, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. Let m be (-2)\/(1*(-2)\/272*-8). What is the second smallest value in -5, m, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -714, -1309, -2296, -3675, -5446, -7609?\nAnswer: -10164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hwhhuhwhhthtwualh.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)*x*x\/(x\/x**22)*((x*x*x*x*x\/x**(-1\/11)*x)\/x)**(1\/24))**(-3\/5) assuming x is positive.\nAnswer: x**(-568\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15300 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 11*p**3 - 11*p**2 - 9*p + 7. Let h(x) = 6*x**3 - 6*x**2 - 5*x + 4. Let n = -1 - -8. What is n*h(j) - 4*u(j)?\nAnswer: -2*j**3 + 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105*(-318)\/(-29680)*-56?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11113 (base 4) to base 10.\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzezsesbsess. Give prob of sequence eb.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -56. Let n be (t - -2) + -5 + 12\/3. Suppose o - 3*k + 8 = n, -3*k = 4*o - 12. Let f(a) = -a**3 + 5*a**2 + 4*a + 7. Calculate f(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 852 divide 63110196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxaooxoo. Give prob of picking 3 x.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 17 = -4*w, -7*l + 5 = 2*w - 12*l. Solve -3*p + 8*p = w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 190 - 52 + 19*i + 36.\nAnswer: 9*i - 206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -196*r. Let j(u) = 684 + u**2 - 1368 + 684. Give m(j(h)).\nAnswer: -196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -2\/11 (c) -0.2 (d) 17161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 13) to base 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 2739222?\nAnswer: 8217666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -11. Let n(p) = -p + 2. Let z be n(2). Let l = -8.7 - -8.7. Which is the closest to z? (a) 0.5 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + u - 4. Let i(b) be the second derivative of -b**3\/6 + b**2\/2 + 270*b. Give 4*i(f) + j(f).\nAnswer: -f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15, -13, -11, -9, -7, -5?\n\"Answer: 2*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-8 + (5 - 2) - -16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -4*z**2 + 11*z + 1\/6*z**3 + 0. Give g(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05198 + 4.98998. Let x = z - -0.052. Let y = -0.01 - x. What is the second biggest value in 2, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2*t)*(-2 + 1 + 2) + 4*t + 12*t - 24*t + t - t - 2*t to x*t + b and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/5022 + -26375\/47709. Let n = 37\/19 - j. Factor 0*v**4 - n*v + 5*v**3 + 0 - 5\/2*v**5 + 0*v**2.\nAnswer: -5*v*(v - 1)**2*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3132 and -131\/11772.\nAnswer: 341388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1001 divide 40038999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.267524kg?\nAnswer: 267.524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1490 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1088) - (sqrt(1088) + -4 + sqrt(1088)*-2 + sqrt(1088))) + (sqrt(1088) + (sqrt(1088) + -2 + sqrt(1088))*6)**2 + -2)*2 + -5.\nAnswer: -4976*sqrt(17) + 368039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1230789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -33*b + 99. Let g(v) = 1. What is d(o) - 99*g(o)?\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 154\/13. Let o be 104\/13 - (0 - -8). Are z and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 0*b**2 + 5\/12*b**4 + 0*b**3 + 1\/56*b**8 + 0 + 0*b**5 - 6*b + 0*b**7 + 0*b**6. What is the third derivative of v(t) wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**4 + 4*m**3 - 288*m**2 - 4*m + 286 = 0.\nAnswer: -13, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135152874 by 3.\nAnswer: -45050958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/57 - (-19)\/3. Let j be (-9)\/h*(-178)\/3. Suppose -y - 4 = -j. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:59 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 0*s**5 + 2*s**5 + (3 - 3 - 2*s)*(-s**3 - 2*s**4 + s**3) - 2*s**5 + 3*s**4 - 3*s**4 + (19*s**5 - 128*s**5 + 35*s**5)*(-2 + 8 - 12).\nAnswer: 447*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:56 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + ((-90)\/165)\/((-15)\/3960).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -174*k + 29*k + 29*k - 3 + 51*k to the form m*k + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**5 + 16725*g**4 - 23368842*g**3 + 162463104*g**2 + 418535424*g = 0.\nAnswer: -2, 0, 9, 2784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54056475 + 2*l - 54056474 + 108112949.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5431\/5150 + 3\/206. Find the common denominator of a and -2\/9.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -7, -1\/3, 4 in decreasing order.\nAnswer: 4, -1\/3, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -901 + 1276. Let i = g + -354. Calculate the remainder when 63 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12969 is divided by 206?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - d - 53*d**2 - 15 + 1)*(-2*d + 0*d + 3*d)*(-2*d - d + 5*d).\nAnswer: -106*d**4 - 2*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 45581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*1)\/sqrt(6) - (sqrt(39)\/(-2*sqrt(3)) - sqrt(13)).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7157 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41276 = -36*z + 49876. Calculate the highest common divisor of 24 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527200 is divided by 105439?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 203*-9081\nAnswer: -1843443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13618 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**4 - 18250*y**3 + 2540395*y**2 + 2558650*y = 0.\nAnswer: -1, 0, 146, 3505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72566371*t - 129418444 wrt t?\nAnswer: 72566371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 86*i**3 - 3*i**2 - 5*i + 13. Let b(v) = -v - 21. Let s(f) = f + 1. Let y(j) = -b(j) - 2*s(j). Let x be y(17). Is g(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13*k + 119. Let j be x(9). Let r = 4 - 0. Suppose -r*l + 7 = -13. Solve -l*m + 3*c - 12 = 4, -c = j*m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 112, 156, 226, 328, 468, 652, 886?\nAnswer: 1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7246021us to seconds.\nAnswer: 0.0000007246021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521*x**3 - 249*x**3 - 231*x**3.\nAnswer: 41*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101 - (68 + 64)) + -42 + 4.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110023583 divided by 42431\nAnswer: -2593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6569, -13184, -19789, -26378, -32945?\nAnswer: -39484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-4)\/(-4)*(-28)\/(-140)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108 - 75. What is the third derivative of p*x**2 + 5*x**3 + 21*x**3 - 72*x**2 + 33*x**2 wrt x?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o - 6. Let m be q(4). Suppose 2*k + m = 3*v, -k + 3*v - 23 = -2*v. Let i = k - -11. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-20))**(-5)\/((j\/(j\/(j**(9\/2)*j*j)*j))\/(j*j**(-2\/47))) assuming j is positive.\nAnswer: j**(8973\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 51*h**2 - 1056*h + 5095. Give k(7).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1338945 to the nearest 10000.\nAnswer: 1340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104959465.\nAnswer: 5, 13, 23, 70207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -555 divided by 3.\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95370 is divided by 83277.\nAnswer: 12093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -16 + 6\/(-4) + -8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*-1 + -3)*-3 - (2 + (2*sqrt(2057) - sqrt(2057))**2 + -3).\nAnswer: -2047 + 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 8:30 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 116602.\nAnswer: -25\/116602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/7, -2, -181, -1, 1\/3, -1\/2, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**5\/4 - 13*j**4\/2 - 64*j**3 - 296*j**2 - 640*j - 512 = 0.\nAnswer: -8, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 0*g**2 + 0*g**3 + 3 + 35\/2*g**4 - 6*g. Differentiate a(i) wrt i.\nAnswer: 210*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**7\/2520 - c**6\/720 + c**5\/30 - c**4\/4 - 3*c. Let d(l) be the third derivative of y(l). Give d(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 8 - 3\/14*g**7 - 7\/6*g**4 + 1\/2*g**3 - 7*g + 0*g**5 + 0*g**6 + 0*g**2. Find the second derivative of a(v) wrt v.\nAnswer: -180*v**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 347 and 23816?\nAnswer: 8264152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g. Give z(-7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/12 - 2*q**3\/3 - q. Let u be c(3). Let a(b) = -4*b - 5. Let y(d) = 0 - 7*d - 4 - 5. Give u*y(i) + 5*a(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*m - 0. Let k(o) = 5*o + o - o**m - 2*o - 4 + 3*o. Determine k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3178 by 4.\nAnswer: -1589\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.72108 - -0.1685.\nAnswer: -1.55258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.48315ml in litres?\nAnswer: 0.07448315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -4599\nAnswer: -4599.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*k + 107*k - 876 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6208663.\nAnswer: 6208663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/40)\/(2\/470). Let w = 169 + p. Suppose 3*i = -3*n + i + w, -24 = -n - i. What is the highest common factor of 189 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (-1*sqrt(245) - sqrt(245))).\nAnswer: -70*sqrt(5) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88 + -24 + (19 - (6 + 4 + (-11 - -8))).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.04416 * -417\nAnswer: 435.41472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 105 and 397?\nAnswer: 41685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 40*k**2 - 96*k.\nAnswer: 4*k*(k - 12)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from hihiihhqhiihhhqq.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 38*x + 39*x - 16, -2*v - 4*x + 22 = 0. Sort -1\/2, v, -0.4, -23 in decreasing order.\nAnswer: v, -0.4, -1\/2, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, -3\/13, -728 in decreasing order.\nAnswer: 120, -3\/13, -728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2. Let y(w) = 6*w. Let i(g) = g. Let z = -25 - -26. Let q(d) = z*y(d) - 5*i(d). Calculate q(t(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 466 + 3193. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 270 + -270. Solve v = -0*s + 15*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17847.5263 + 17847. What is x rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {p: 2, k: 1, s: 1, e: 1, d: 3, i: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4 and 23\/5992.\nAnswer: 5992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*a + 132*a - 51*a - 38*a - 42*a**2 + 231 - 232 to m*a**2 + j + v*a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083811407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*n = -57, -7*n = p - 9*n - 22. Suppose 2*a - 72 = -g + 92, -4*g + 3*a = -634. Calculate the highest common factor of g and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/30 - (-294)\/(-45))\/(100\/450).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*b + 2. Let o(c) be the first derivative of -3*c - c**2 + 1 - 2 - b*c + 4. Give o(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 947, 926, 893, 848, 791, 722?\n\"Answer: -6*s**2 - 3*s + 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"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 c be 20\/(-2)*17\/(-85). Put c, 1, -3 in decreasing order.\nAnswer: c, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.1 - -8.2. Let c = v + 7. What is the second biggest value in -4, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3090330, 3090325, 3090318, 3090309, 3090298?\nAnswer: 3090285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*h = -81*h + 2*t - 56, -18*h - 5*t + 3*t + 66 = -50 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083064 is divided by 5082.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - -4*(sqrt(2) + -1)) + -4.\nAnswer: -8 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (6 - 3)*-1. Suppose 5*v - 20 = b, 2*v - 5174 = -3*p - 1146. Is p\/(-30)*6\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677.9626 years in millennia?\nAnswer: 0.6779626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11916 = -3*q + 4*g, 7*g + 12 = 11*g. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30992.6974 - 30996. Let t = 70.7 - 74. Let h = t - l. What is h rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c*c*c\/(c*c\/(c*c*(c*c*c\/c**26)\/c))*c*c*c)\/c)\/c)**11 assuming c is positive.\nAnswer: c**(-209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12151549 + 2*a**2 + 12151549 + a - a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4710 + -4703. What is the highest common factor of 91 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.3 and 0.064.\nAnswer: -4.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 249 - 9. Suppose -z = -2*d - 3*d. Calculate the remainder when d is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32437611*o**4 + 2*o**3 - 88340216*o**2.\nAnswer: -778502664*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41402412 (base 5) to base 16.\nAnswer: 533f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 36 = -4*r, 5*b - 3*r - 3 = 26. Suppose -b + 6 = -f, -4*s - 13 = -5*f. Put -3, s, -34 in descending order.\nAnswer: s, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -16, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 490\/(-28)*17\/(255\/(-10674)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 74\/6*(-9 + 12).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*s - 18, 0*v + 2*v - 3*s - 12 = 0. Let p be (v - 5)*5\/(-20). Which is the biggest value? (a) -2 (b) p (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 4*p**2 - 10. Give j(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -5269?\nAnswer: 5269.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 792344.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 2648157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3105 is divided by 455?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1414*j**6 - j**2 - 262*j.\nAnswer: -169680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -233523471553 - 3.\nAnswer: -233523471556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -22*w. Suppose 10*q = 27*q + 85. Let v(j) = -13*j**2 - 5*j - 5. Let l(h) = 15*h**2 + 6*h + 6. Let n(y) = q*l(y) - 6*v(y). What is n(c(a))?\nAnswer: 1452*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79825684157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 25, 390 = 5*c - 9*x + 5*x. Let h = c - 80. Is -4 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223113323 (base 4) to base 9.\nAnswer: 300628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -12*l - 24, 4*l - 2*j + 949 - 911 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 48955097?\nAnswer: 48955102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(sqrt(2) - sqrt(24)\/sqrt(3))*4)**2 + -2.\nAnswer: -32*sqrt(2) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 565, 567, 571, 583, 609, 655, 727?\n\"Answer: n**3 - 5*n**2 + 10*n + 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -1, 3, 5?\n\"Answer: -p**2 + 9*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 7696*u**3 + 0*u - 7691*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 3*c + 0*c)*(4*c - 2*c - 3*c)*(-4*c + 4*c - 3*c**3).\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z - 8*z - 308 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 22 + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - j + j)*(2*j**2 - 1 + 1) - 1 + 1 + 3*j**3 + 13*j**3 + 2*j**3 - 3*j**3 to the form h*j**2 + g*j + v + d*j**3 and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4 + 8. Let c = 63 + -17. Suppose -q*y = 2*m - c, -5*y + 98 = -4*m + 8*m. Calculate the greatest common divisor of m and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*-1.9\nAnswer: 2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/3? (a) 2 (b) 0 (c) -2 (d) -1.4 (e) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + 7*l**2 - 10*l + 5. Let f be c(-7). Let d = f + 469. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v - 1. Let t be o(-3). Let d(j) = -7*j + 4. Let f(i) = -i + 1. Let r(q) = -d(q) + 6*f(q). What is the lowest common multiple of 11 and r(t)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 276498.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9*u**3 + 93*u**2 + 75*u + 25. Calculate g(-10).\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13872 is divided by 815?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + sqrt(684)*1)*5)**2.\nAnswer: 32400*sqrt(19) + 623700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 - -145. Sort q, -2, -2\/5, 5.\nAnswer: -2, -2\/5, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-16)*w*w\/(w**13\/w))**(-1\/22) assuming w is positive.\nAnswer: w**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llk when three letters picked without replacement from lllkllllllkll.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -12*s + 34. Let y(v) = 9*v - 35. Determine -2*x(a) - 3*y(a).\nAnswer: -3*a + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388724725?\nAnswer: 5, 23, 676043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*y + 6. Let q(d) = 1 - y + d + 4. Let z(x) = 8*x - 7. Let c(h) = -h + 1. Let p(i) = 21*c(i) + 3*z(i). What is q(p(a))?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z + 10. Let o(f) = f + 1. Let u(l) = -5*o(l) + t(l). Let g be u(5). Suppose g = 4*a + 6. Let s(b) = -4*b**3 + b**2 - 2*b + 1. What is s(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*x + 167 = -2*x, x = -1. Round i to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.9 + 10. Let s = 2 - 18. Let y = -15.8 - s. Put 0.4, y, c in decreasing order.\nAnswer: 0.4, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25361 = 12*n - 23719. Suppose 0 = 4*g + 2*a - n, 2*a - 5 = 3*a. What are the prime factors of g?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2607341, -5214676, -7822011, -10429346, -13036681?\n\"Answer: -2607335*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*v - 12, -2*v = -2*x + 5*x - 7. Factor 1\/5*s**4 + 1\/5*s**v + 0*s + 2\/5*s**3 + 0.\nAnswer: s**2*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c + 7*c + 67 - 12*c - 2*c in the form v*c + f and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5722 to the nearest 100.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 8*l + 2. Let r be w(8). Let d(z) = 2*z + 3. Suppose -21*p = -3*p + 162. Let m(t) = 8*t + 12. Determine p*d(x) + r*m(x).\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 10*d - 5. Let k be w(4). Let g be -7*(2 - 1)*-19. What is the greatest common factor of k and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -35*q + 33*q, 1907 = 4*z + 3*q. What is the greatest common factor of z and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 672.5 - 673. What is the second smallest value in 8\/3, v, -0.4, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*i*q**5 - 2*i*q**2 - 3*i*q + 13*i + 8*q**2 + q - 9 wrt q?\nAnswer: 700*i*q**3 - 4*i + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/39*(176\/1760)\/((-4)\/60).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1450 + 1450 + 22*h**3.\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - a?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 14*x - 62. Let u(y) = -4*y - 2. Let p(v) = -3*b(v) - 15*u(v). Factor p(s).\nAnswer: -3*(s - 36)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9027312 by -7.\nAnswer: 1289616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15525752 and 10.\nAnswer: -155257520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.2. Suppose -w + 2*b - 14 = 0, 2*b = -3*b + 25. Let k = 5 + w. What is the closest to 0.2 in -2, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 135654 - -206?\nAnswer: 135860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1202 or -1198?\nAnswer: -1202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - -2*sqrt(245)*3 - sqrt(245)) + 0 + sqrt(245) + 2 + sqrt(245))**2 - (sqrt(320) + (0 + sqrt(320) + -4)**2 + (-3 + sqrt(80))*2).\nAnswer: 272*sqrt(5) + 15354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364720.\nAnswer: 2, 5, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + 3390.38774?\nAnswer: 3390.37774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k - 53*k - 103*k)*(-2 - 3 + 0)*(2*k + k + 2*k) to the form i*k**2 + w + d*k and give i.\nAnswer: 3900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -125*s + 120*s. Let t(z) = -z**3 + 12*z**2 + 5*z - 26. Calculate the remainder when 406 is divided by t(s).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 17. Let l be v(27). Suppose 68 = 5*x - l. Solve -4*c - x = -9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -980*x**4 + 3488940*x**3 - 76777685*x**2 + 10914840*x - 389180 = 0. Calculate x.\nAnswer: 1\/14, 22, 3538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = 7*m - 2*m. Suppose m*y - 3123 = 50*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 7:02 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5592480 and 146400?\nAnswer: 27962400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*((-6)\/9 - 0). Let k = 4 + -2. Let w be (q + 6)\/(4\/k). What is the closest to w in -2, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = 2*h - 183. Factor h*j**2 - 16*j - 555*j**3 + 560*j**3 + 6*j.\nAnswer: 5*j*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - w + 8. Let p(s) = -5*s - 2*s**2 - 6*s**w + 3*s**2 - 2*s. Let v(f) = 6*f**2 + 8*f. Determine -7*p(d) - 6*v(d).\nAnswer: -d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.56 * 139\nAnswer: -77.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 32*i + 12. Let t be g(0). What is the greatest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-1 - 1)) + -2. Let d(b) = 7*b**3 + 8*b - 2. Let x(m) be the first derivative of -m**4\/4 - m**2\/2 + 12. Calculate k*d(r) - 6*x(r).\nAnswer: -r**3 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 4:18 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {v: 1, k: 2, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 5, -4\/7, 1\/4, 0.4, -3 in increasing order.\nAnswer: -3, -4\/7, 1\/4, 0.4, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6750539*m*q**3 + 13*q**3 - 191654*q wrt m.\nAnswer: 6750539*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 + 337a?\nAnswer: 3357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t + 5. Let q be p(-5). What is the tens digit of 4 - (-2 + 0 + q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4, 874 = -4*s - 4*i + 870. Let p(a) = -a**2 + a. Let d(o) = 30*o**2 + 2*o. Calculate s*d(q) - p(q).\nAnswer: 31*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**6\/6 - 5*t**5\/2 + 115*t**4\/12 - 35*t**3\/3 + 4*t + 8. What is l in g(l) = 0?\nAnswer: 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41 - q**2 + 0*q**2 + 16)*(-q**2 - q**2 - 2*q**2 + (-q**2 - 5*q**2 + q**2)*(-3 - 2 + 4)) to t*q + v + s*q**2 + n*q**3 + z*q**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v)\/v*v*v)**(-1\/29)\/(v**5\/(v\/v**2)) assuming v is positive.\nAnswer: v**(-177\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5 - 4*x**3 - x + 5*x**3 - 3. Let m be j(0). Let n be ((-2)\/(-4))\/(3\/60). Solve 3*d + n = -m*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4404, -4398, -4388, -4374, -4356, -4334, -4308?\nAnswer: -4278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 - 110. Suppose -a = -q*a + 12. Calculate the remainder when 56 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + -0.3. Let y = d - 0.5. Let u = 0.2016 + y. Round u to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -116*p - 28, -5*u + 7*u - 5*u = -2*p + 21 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*u**3 + 425*u - 200*u - 225*u + 203*u**3.\nAnswer: 142*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1165 is divided by 528.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x = 11*x + 12. Suppose -14 = 4*h - 4*a - 6, 0 = 2*h + 3*a - 11. What are the prime factors of 100\/250*-185*(h - x)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Let s be -14*6\/(-84)*4. Suppose 5*z - u - u = 8, 2*u = -5*z + 12. Sort s, f, z in increasing order.\nAnswer: z, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.283 + -0.117. Let d be (-13)\/26 - 107\/(-2). Which is smaller: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1418527.\nAnswer: 11, 43, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10102 (base 3) to base 14.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 335438*0.5\nAnswer: 167719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147071 is divided by 354?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*c**2 + 12*c**3 + 15*c**2)*(3*c + 3*c - 4*c) + 4*c**4 + 4*c**4 + 0*c**4 in the form y + h*c**4 + r*c**2 + v*c**3 + b*c and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1977*v**3 + 3 - 3 - v**2 + 1974*v**3 - 3956*v**3.\nAnswer: -5*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 68b3 (base 12) to base 3\nAnswer: 120222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u + 22*u - 30 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.3 + 2.7. Let k = 18 - n. Let x = k - 11. Put 0, -0.1, x in descending order.\nAnswer: 0, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17850?\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 49 - 47 - (3 - -9 - 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -48. Which is the closest to -7? (a) -4 (b) n (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 1.7078434.\nAnswer: 5.7078434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 910*d + 21. Let a(x) = -7. Determine 3*a(p) + j(p).\nAnswer: -p**2 - 910*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**7\/840 - j**5\/120 - j**4\/12 + 5*j. Let s(d) be the third derivative of w(d). What is the derivative of s(n) wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5584 - -3?\nAnswer: -5581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717.7915 hours to minutes.\nAnswer: 43067.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17736820 - 3*m + 17736820.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t + 1955*t**2 + 72 + t + 1966*t**2 - 4224*t**2 wrt t?\nAnswer: -606*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 + 3092*z**2\/3 + 6181*z\/6 + 515\/2.\nAnswer: (z + 1545)*(2*z + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8127 + 8130 + (16 + 1 - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0 (b) -3\/2 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 885710850 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 451146333*g**4 + 143568*g - 3 wrt g.\nAnswer: 5413755996*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3317800 rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((1 - 0) + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-105)*-14*(27\/6 + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19887 - 19887.2. Which is the nearest to w? (a) 4 (b) -0.06 (c) -9 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1814, -3621, -5430, -7241, -9054?\nAnswer: -10869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13433001241 - -1?\nAnswer: 13433001242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 245 - 363. Let i = f + 119. What is the third biggest value in -1\/3, 3, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.03. Let v = 201.03 - 200. Let d = v - p. Which is the biggest value? (a) -1 (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499.7516mg in kilograms?\nAnswer: 0.0004997516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 13 (c) 1835\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2115940 is divided by 3509?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 5) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 457864 divided by -4.\nAnswer: -114466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 21*f + 118. Let s be a(-35). Let l = 450 + s. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*y - 1618 - 961 = -791 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 95722807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 17 - 11 = 0. Let t(a) = 2*a**3 - 3*a**2 + 4*a - 1. Let u be t(1). Suppose -2*k - 4 = -v - u*v, 0 = -v - 4*k + 6. Solve i - 3 = -v*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 17*x**2. Suppose 0 = 48*q - 58*q + 20. Let j(z) = 5*z**q - 5469*z + 5469*z. Give b(j(d)).\nAnswer: 425*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 41. Suppose -v = -5*v + n. Let j = 74 - 42. Calculate the remainder when j is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from saassas. What is prob of sequence aas?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*t**3 + t**2 - 4*t**2 + 4*t**2 - 2*t**3 as i + n*t + u*t**3 + w*t**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55, 140, 295, 556, 959?\n\"Answer: 6*k**3 - k**2 + 46*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3359.7721927 - -28.9722177. Let y = r - -3331. Let f = 0.2 - y. Round f to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3833649704?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -23448 <= -23449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 368 + -311. Let n = 50 - w. Suppose -4*b = 4*c + 8, 0*b + 18 = -3*c + 3*b. Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffjj when four letters picked without replacement from {f: 2, p: 4, h: 8, j: 5}?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -5. Let h be (-8)\/20 + k\/(-5). Suppose 5*w - 9 = -4. Which is the second smallest value? (a) -3 (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2389, -4317, -5325, -4951, -2733, 1791, 9083, 19605?\n\"Answer: 77*b**3 - 2*b**2 - 2461*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.048?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-85)\/20)\/(1\/12). Does 10 divide ((-4)\/(-16)*m)\/((-3)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -49*v + 2. Suppose 9*a - 4*a + 60 = 0. Let w be r(a). Let l = 1453 - w. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136150 (base 9) to base 4.\nAnswer: 110110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8291 + 348349\/42. Find the common denominator of q and -50\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-6))\/(2\/42). Let y be (-1)\/2*2 + 3. Let l be -5*(6\/15 - y). Calculate the highest common divisor of l and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**7\/2520 + r**4\/8 - 29*r**2. Let g(p) be the second derivative of d(p). Let w(o) = -12*o**2. Give w(g(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 529171 (b) 3\/41 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289077, 289120, 289163, 289206, 289249?\nAnswer: 289292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((585\/(-78))\/15)\/11.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, 2, 0, -2 in increasing order.\nAnswer: -116, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 + 3 - -14 - -9) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*l - 2*d, -2*l = d + 5 - 23. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 1273911932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1329 + 1354. Solve t + p = 31 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1946372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccncnncccc.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 589225 and 1198652.\nAnswer: 3367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034472 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 157*v - 15. Let f(y) = 9*y**3 + 10*y**2 + 14 + 5*y**2 + y - 5*y**2 - 8*y**3. Let k be f(-10). Is x(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*-5*(-8)\/(-60) + 6. Which is the closest to f? (a) 3\/2 (b) 4 (c) 9\/4 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-21)\/(-35)*(-200)\/(-30)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 46*b**2 + 44*b**2 - 3 + 0*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m = 321. Let v = 57 - m. Which is bigger: -51 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2. Let n(t) = 1. Let l(v) = v + 3. Let g(w) = l(w) + 2*n(w). Let p = -8 - -11. Determine p*g(a) - 7*q(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + 63. Let v = 105 - r. Suppose 2*b - l = v*l + 21, 0 = -4*b + 4*l + 24. Solve -5*x = c - 7, c - 1 = b*x - 2*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302839469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9099.093km?\nAnswer: 9099093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 118*r**3\/3 + 84. Let x(w) = 2*w. What is b(x(c))?\nAnswer: 472*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*n - 133 + 58 - 138 = 0. Let u(l) = -l**3 + 7*l**2 - 6*l - 3. Let y be u(6). Put n, -2, y in descending order.\nAnswer: n, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-560)\/2 - (-12)\/72*-30. Let t = d + 288. Solve t*r = 5 - 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -279894?\nAnswer: -1399470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*d - 4*b, -2*b - 9 - 9 = -4*d. What is the second derivative of 6*r**3 + 867*r**d - 4*r**3 - 175*r - 835*r**2 wrt r?\nAnswer: 12*r + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 7*k**3 - 2 - 8*k**3 + 47*k + 1345*k**4 + 1352*k**4 - 2698*k**4 to the form a*k + b + p*k**2 + z*k**4 + d*k**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 28*c - 128. Let f(n) = 2*n - 2. Let l(v) = 2*f(v) + i(v). Calculate the smallest common multiple of 7 and l(-5).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*t - 1713 = 547, 0 = 3*t + 3. Calculate the remainder when o is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 70. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6\/748877?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 210410 (base 6) in base 11?\nAnswer: 11853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + -7. Let k = d + 115. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-4)*o)\/o*o*o\/(o**(-12\/5)\/o) assuming o is positive.\nAnswer: o**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/(4\/(-96)). Let q be (80\/(-4))\/(2\/n). Let r = 210 + q. What are the prime factors of r?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 7*m + 123. Calculate g(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-3*sqrt(200))\/sqrt(10)*-5 - (2*sqrt(5) + 4 - (sqrt(5) - sqrt(40)\/(sqrt(56)\/sqrt(7))))))**2*-5.\nAnswer: -492000 + 28000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 3*l**2 + l + 5. Let x = -2 + 5. Suppose 3*k + 16 = 4*m, -5*k + m + x = 24. What is the tens digit of u(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 - 2371 = -28*i. Calculate the highest common factor of 407 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 + -106. Let h = s - -31.9. What is h rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10801.1 + -2518.\nAnswer: 8283.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 0*h**2 + 5*h**2)*(0*h - h + 2*h)*(-2 + 6*h + 2).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-7))\/((-40)\/(-70)). Let f = -0.2 + -0.3. What is the closest to a in 2, f, 2\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4378?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, -21, -1, -2 in descending order.\nAnswer: -1, -2, -4, -9, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 12 (b) 2060 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 2*k**2 - 2*k + 1. Let f be p(3). Let t be 1\/((-9)\/(-1620)*12). What is the first derivative of -t*m**f - 1280*m + 3 + 1280*m wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y. Let a(r) be the second derivative of 677*r**3\/2 + 68*r. Calculate a(p(i)).\nAnswer: -14217*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 717*i**4 + 756*i**3 + 22423659*i wrt i?\nAnswer: 8604*i**2 + 4536*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -675*o**7\/14 - 205*o**4\/4 + 1766*o. What is the third derivative of n(f) wrt f?\nAnswer: -121500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**3 - 136*c - 144*c + 418*c - 138*c + 8*c**3.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -766 times 259.4\nAnswer: -198700.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 4432*t + t**2 + 0*t**2 - 4357*t + 78.\nAnswer: -3*(t - 26)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (-6)\/(-9))*3\/(-2). What is the common denominator of 1 - 226\/(-24) - (0 - w) and 81\/26?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145595 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -5 + 0*k - 1\/3*k**3 + 0*k**2. Let l(o) = o**2 - 6*o**2 + 4*o**2. What is y(l(q))?\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 + 7910*d**3 + 39455*d**2 + 47310*d.\nAnswer: 5*d*(d + 2)*(d + 3)*(d + 1577)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3\/4 + 42513*t**2\/2 + 170049*t\/4 + 21256 = 0.\nAnswer: -85024, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3187269*a**2*v**2 + 6*a**2*v + 37*a**2 - 2*v - 10 wrt v?\nAnswer: 6374538*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000056441 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8677665 divided by -5?\nAnswer: -1735533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**2 - 2*j + 5. Let m(z) be the second derivative of -2*z**4\/3 + z**3\/2 - 3*z**2 + z. Let f be (13 - 5)\/(-4*4\/8) - 2. Calculate f*r(q) - 5*m(q).\nAnswer: -2*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -30, -29, -24, -15, -2, 15?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2 = 18. Suppose 5*j + 48 = 4*t, 2*t + 36 = 5*t + 4*j. Let n be (t\/(-5))\/((-2)\/r). Is n < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 o, and 1 c when three letters picked without replacement from kxiclclolikioxxx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8694 + -8689. Let i be ((-1)\/2)\/(2\/(-8)). Solve 5*k - i = -5*h + 18, 0 = q*h - 25 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d. Let s(t) be the third derivative of -13*t**7\/2520 - 13*t**4\/24 - 13*t**2. Let h(p) be the second derivative of s(p). Calculate h(r(c)).\nAnswer: -52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382, 764, 1146, 1528, 1910, 2292?\nAnswer: 2674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 4*r + 2. Suppose z + 5 = 1, -78 = -2*q + z. Suppose -2*v - 3 + 4 = -w, 5*w + 4*v = q. Determine t(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*q + 268 = 540 + 339 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j + 13 - 5*j + 7*j. Let z = 1884 + -1867. What is a(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 5, a: 2, o: 11, w: 1}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - n + 29. Suppose s + 4*s = 0. Let r be d(s). Let v = r - 20. What is the greatest common factor of 27 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 l, and 1 e when four letters picked without replacement from ervldreerpve.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/7 - 1\/21. Let i = -6.3 - -6. Let j = 0.4 + i. What is the nearest to j in 1, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 plus 2011.1?\nAnswer: 2010.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/162 and 80\/4179.\nAnswer: 225666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65599?\nAnswer: 65599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/8 and -47\/26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773920.\nAnswer: 2, 5, 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -60.6. What is d rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243 divided by -3\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 199487037\/406184 + 10\/50773. Let p = g + -502. What is the common denominator of 69\/16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-16)*((-2688)\/(-10080))\/(0 - 12\/10)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54 or -692067?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1073*u**4 - 14*u**3 - 3*u - 1801. Let q(l) = 538*l**4 + 8*l**3 + 2*l + 900. Let z(x) = 7*q(x) + 4*v(x). What is the second derivative of z(s) wrt s?\nAnswer: -6312*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 5*q + 5. Let f(p) = 3*p - 13. Let y be f(3). Let l = 1 - y. Calculate the remainder when 12 is divided by v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*q - 7*q. Suppose -q*h - 3 = -3*h. Let d(w) = w**2 - w - 3. Calculate d(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/42907 and 67\/1604?\nAnswer: 171628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2108\/5 + -422. Let w = -0.99 + -0.01. Let t = -4 - 0. Which is the second smallest value? (a) y (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**16*n**(2\/35)*n assuming n is positive.\nAnswer: n**(597\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/144576 and 109\/224.\nAnswer: 1012032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 59 + 59. Let b be (1\/1)\/(1\/3). Let h(a) = b*a - 4 + 4. What is f(h(y))?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 + 3*c. Let t(a) = -7*a**2 - 7*a. Let b(h) = -3*t(h) - 7*x(h). Let k(z) be the first derivative of 0*z - 1\/2*z**2 + 6. Give k(b(d)).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141093.1 millilitres to litres.\nAnswer: 141.0931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 2:17 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j + 28*j)*(0 - 1 - 1)*(2*j + 3*j**3 - 2*j).\nAnswer: -144*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 12:29 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -50*(10 - 1102\/95) and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*t + t. Let y(q) = 2*q + 2. Let c be y(-2). Let k be 90\/21 - c\/(-7). Solve -x - 21 = h + k*x, -t*x = -3*h + 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrw when three letters picked without replacement from {a: 4, h: 1, r: 2, w: 1, j: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3 - 5 + 165*h + 159*h - 111*h to the form i*h + d and give i.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 17*j**2 - 5*j - 20. Let k be q(17). Let z be 6\/14 - (-373845)\/k. What is z rounded to the nearest 100?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 7*j**2 - 6*j + 2. Let x be q(-7). Suppose -39*n + x*n - 30 = 0. Let v = -5 - -9. Solve -2*f = -5*u + 23, -4*u + n = v*f - 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233542 is divided by 77207.\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (79*d**2 + 172*d**2 + 163*d**2)*(3 + 20 + 7) to the form g*d**2 + n*d + r and give g.\nAnswer: 12420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 206*n + 205*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 986?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/82*(-1 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3 + 4)*-3 + -2)*5. Let j be 30\/(-75) - 27460\/q. What is the greatest common divisor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k = 61*k - 4*k + 924 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 23, 33, 35, 23, -9, -67?\n\"Answer: -i**3 + 5*i**2 + 4*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274*-43.\nAnswer: 11782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 + 0)*4\/(-12) + 0. Let f be (6\/28)\/((-5)\/(-20)*m). What is the closest to -0.7 in f, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.56923t to nanograms.\nAnswer: 58569230000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -62*j**2. Let g(f) be the first derivative of -5*f**3\/3 - 56. Calculate g(d(l)).\nAnswer: -19220*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/40 and -37\/36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/3*((-12)\/(-9) - 1). Suppose 3*t - 9512319 - 12687681 = u. What is t rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(7\/3))\/((x*x**18\/x)\/x))\/(x**(-1\/3)*x*x**12))**(-42) assuming x is positive.\nAnswer: x**1106","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 1:59 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1271590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -11 - -10 - (-7 + 4 + -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -5\/7 (c) 4 (d) 0 (e) -213 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + (sqrt(1900) - (sqrt(1900) + -2)) - sqrt(1900))*5 - -1*(sqrt(2299) - (sqrt(2299)*1 - sqrt(2299))))**2.\nAnswer: 220*sqrt(19) + 2399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 259244 (b) -5 (c) 2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1 (c) 1.09 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, z: 5}. Give prob of sequence zqqz.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -16.3. Which is the nearest to 0.1? (a) n (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 5, -0.5, -0.04?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 15 = 0, 0 = -2*u + 5*v - 554 + 537. Solve 5*m - t + 15 + 0 = 0, 0 = -2*m + u*t - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 97. Determine x(-14).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3119192?\nAnswer: 2, 19, 20521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 37*h + 42*h + 12 = 0, h + 8 = 2*m. Let l(b) = b + 63. Let p(o) = -21. What is m*l(x) + 7*p(x)?\nAnswer: 2*x - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2996593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1900 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10710*j**3 + 41815*j**3 - 9041*j**3 - 9664*j**3 - 9469*j**3.\nAnswer: 2931*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/22 - 24\/(-132). Let w(o) = -o**2 - o + 305. Let y be w(g). Let p = 236 + y. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 2814311\nAnswer: 25328799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 3 + 2*q**2 - 2*q**2 + 2. Let m be f(2). Solve 4*s + u + 11 = 0, s + 4 = m*u - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 o when three letters picked without replacement from fgzozzs?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16277.\nAnswer: 41, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 371412 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kli when three letters picked without replacement from {k: 9, b: 1, i: 2, e: 3, l: 4}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 w when four letters picked without replacement from {w: 8, p: 11, f: 1}?\nAnswer: 308\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 319053\/24 + (-15)\/8 + 76\/38. What is the highest common factor of c and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7245144 divided by -19269?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93 - -119) + -2 + -16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6*-18*(-16)\/576\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (104\/(-130))\/(-2*1\/25). Calculate the greatest common factor of 25 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(162) + 1 + sqrt(162)))**2 - (1 + (sqrt(162) - -2*sqrt(162)))**2)*-5 - (sqrt(2016)*-3)\/(sqrt(49)\/(sqrt(35)\/sqrt(5))).\nAnswer: -73830 - 4194*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 7*s - 8*s - s**3 + 2*s**2 + 1 + 3*s**3 to o + l*s + t*s**3 + f*s**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -10. Let y = 17112 - 17101. What is the closest to 0 in x, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -515*a**3*g - 63171*a**3 - 7*a**2*g + 3*a**2 + a*g - 3*g wrt g.\nAnswer: -515*a**3 - 7*a**2 + a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108804 is divided by 276812?\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3391890 by -3391890.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8931772386+-0.5\nAnswer: 8931772385.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 17*j - 8*j + 7*j - 16*j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26422720 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1836 - 1888 + a + 2*a. Let k be p(17). What is the common denominator of k*(-70)\/(-12) + 11\/44 and -83\/92?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - 11)\/((-2)\/(2\/1)). Is (-24 - -23)\/((-1)\/4*z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 greater than 672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17407153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1 + 0 - s + 3. Let x be (-1)\/(((-10)\/6)\/(-5)). Give q(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2605376?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 1 + 1 + 53. Suppose 18*v = 43*v - i. What is n in -18\/5 + 12\/5*n + 16\/5*n**v - 12\/5*n**3 + 2\/5*n**4 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(4 - -2)*-8. Let v(j) = j**2 + 19*j - 33. Let k be v(-21). Solve 3*g + g + 8 = -p*i, -3*g + k = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z = 27*z - 5*c, -2*z + c = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhvvvhhhh. What is prob of sequence hvvv?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1730 or 1?\nAnswer: -1730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 8:41 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5289?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 400 + -352. Suppose -5*s = -4*n + f, -60 = -5*n + s - 0*s. Solve 8 = n*r - 16*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 2137?\nAnswer: -2137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (9693*r - 3531*r - 3273*r)*(-1 + 0 + 3) in the form n + k*r and give k.\nAnswer: 5778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**4\/12 - i**3 + 5*i**2. What are the prime factors of k(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, 23, 44, 69, 98?\n\"Answer: 2*c**2 + 11*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000986 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 0.1 (b) 60 (c) 0.2 (d) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -1\/2*y**2 + 0*y**4 - 60 - 28\/3*y**3 + 0*y - 7\/5*y**5. Find the third derivative of g(h) wrt h.\nAnswer: -168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + 99. Suppose 7*v = 8*v - r. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3660 (b) -4 (c) -18 (d) -5 (e) -2\/3 (f) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-60)\/288)\/(0 + 1 + -2)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 j when three letters picked without replacement from jjjjjjmjjjmmjjj.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96\/13 - 2\/13*m**4 - 8*m + 24\/13*m**2 + 6\/13*m**3 = 0.\nAnswer: -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/4 + 6 + (-45)\/6. What is the greatest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44)\/(-33) - (-56)\/(-6). Let o be (2 + 0)*20\/q*-3. Let r = 8 + -3. Solve -o = 5*s + r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45533027.\nAnswer: 613, 74279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216717 and 4561021?\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*x = 37*x - 154 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - 1. Let z = -10.7 - n. What is the biggest value in -1, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**3 + z**2 - 2*z - 3. Let j(l) = l**3 - l**2 + l. Let m(s) = 5*j(s) + x(s). What is m(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 115*p**2 - 1170*p + 25200.\nAnswer: 5*(p - 24)*(p - 14)*(p + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*r - n, 3*n + 7 - 26 = -5*r. Suppose -s + 4 = -5*x + 12, 0 = -r*x + 2*s. Put 4, x, 5 in increasing order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29561\/12669*(-180)\/(-14)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 + -59301.\nAnswer: -59355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-12 - (-5 - -13))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 342234 divided by -9\nAnswer: -38026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m - 6. Let a(y) = 4*y**2. Determine p(a(z)).\nAnswer: 36*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 16 = 2*r + q, -3*r - 4*q = -28. Calculate the least common multiple of r and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*q - 23302652 + 23306585 for q.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -213*o + 506133 - 150423. What are the prime factors of o?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 152*n + 810. Let i(d) = 17*d + 85. Let u(z) = 19*i(z) - 2*p(z). Let m(x) = 1. Give 3*m(b) + u(b).\nAnswer: 19*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g - 1080000. Round g to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 6*z + 6. Let x = -23 - -27. Let i be s(x). Let k be (-1 - i)\/(7\/21). Solve -f - 2*y = 2*f + 9, -k*f = y + 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 348*d + 346.\nAnswer: 2*(d + 1)*(d + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + 5. Suppose 0 = -4*y - w + 11. Let s be -1 - (-4 - (-136)\/40). Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 115 = -15*q, 283633*q = 4*p + 283636*q + 107 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**2 + 0*h + 69 - 68 - h)*(-27*h**2 - 22 + 22) - 23*h**4 + 12*h**4 - 6*h**4 to the form a*h**4 + v + t*h**3 + k*h**2 + m*h and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34335 and 1662795?\nAnswer: 11639565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.9209 + 5.9209. Let l = 0 + 0. What is the third biggest value in l, 5, -4, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1695*o**2 - 149160*o - 119. Calculate m(-88).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 - 0) + (196 - (253 - 62)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/67? (a) -2\/7 (b) 1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146816126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -34, -49, -90, -169, -298, -489?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = -h, 5*h + 7 = -3*m + 38. Let q(p) = 12*p**2 - 3*p + 11. Let x(i) = 9*i**2 - 4*i + 11. Let w(a) = -2*q(a) + 3*x(a). Does 28 divide w(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3 + 22*g - 32 + 974*g**3 - 972*g**3 - 11*g**2. What are the prime factors of s(6)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - -12) + 9\/(-3). Suppose -j*r - 3 = 2*f + 1, f + 1 = -r. What is the nearest to r in -2\/3, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4059086619 to the nearest integer?\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -239*h - 2190. Determine n(-8).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2947 + 1362. Let n = u + 1584.99998714. What is n rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**7\/2520 + k**4 - 13*k. Let w(f) be the third derivative of h(f). Let b(s) = -2*s. What is w(b(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 11:16 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 5408728\nAnswer: -2163491.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*sqrt(170)*2*-3)\/(2*sqrt(640)*4 - sqrt(640)).\nAnswer: 3*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2 - 7378658*g - 13611148470241 = 0. What is g?\nAnswer: -3689329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1288)\/(-2208))\/((196\/8)\/(-7))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by -12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60\/2779? (a) 0 (b) 1\/131 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*c - 14*c + 4*c)*(0 + 0 - 2)*(5 - 3 - 4)*(3*c - 3*c - 3*c) in the form m*c**2 + p + i*c and give m.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*l**4*x**3 - 7*l**4 - 3*l**2 + 6*x**3 wrt l.\nAnswer: 240*l*x**3 - 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -6)\/((-1)\/(51*1)). Is -50 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 44*n**2 + 363*n + 540. Give p(-5).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(500) - ((sqrt(500) + 0 + sqrt(500))*-6 + sqrt(500))) + 0 + 4 + sqrt(500)*4*2)**2.\nAnswer: 3200*sqrt(5) + 400032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/73 - -83\/365. Let y = -0.72479 - -0.82479. Which is the smallest value? (a) h (b) y (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/1801?\nAnswer: -14\/1801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -43. Let p = 0.1 + 0. Which is the nearest to p? (a) 2\/7 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1882560 and 115440?\nAnswer: 24473280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/120 and -61\/8418636.\nAnswer: 84186360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = h - 4*o - 3, -h + 3 = -2*o. What is the third derivative of -h*b**4 + 0*b**2 + b**4 + b**4 - 2*b**2 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3279670 and 60.\nAnswer: 19678020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -163*d - 3075*d + 457*d in the form u + v*d and give v.\nAnswer: -2781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58*360\/4176*(-16)\/4*(-1)\/(-9)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Let s = -0.01 + 32.01. Let i = 35 - s. What is the second biggest value in b, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2)*(-19)\/95)\/(9\/3480*20)\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2545 and 40.\nAnswer: 20360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2882462 and 4246.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 34*d**2 - 23*d + 47. What is r(35)?\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -26, -41\/26, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - 1. Suppose -1056*c = -1058*c - 8. Let w(a) = -3*a**2 + a - 1. Give c*j(r) + 3*w(r).\nAnswer: -r**2 + 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 4\/(24\/237) - 60\/40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5729910133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**4\/4 + 2*t**3\/3 + t**2 - 2*t + 2. Is c(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112786686 divided by 27422.\nAnswer: -4113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236498626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1457291 to 4 decimal places.\nAnswer: 0.1457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 364\/(-483) + (-4)\/(-46).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (520\/(-6))\/(-5) - 2 and -24\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 7. Let k(c) = -2*c - 8. Let n be (-4)\/2*3 + 0. Let q be k(n). Let b(w) = 0*w + 7 - w - q. Determine -5*b(d) + 2*l(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(-j**3 + 2*j**2 - 2*j**2) - 13*j**3 + 24*j**3 - 24*j**3.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4967 is divided by 34.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7231283*z - 6259*z**2 - 1 - 7231283*z to l*z + q + g*z**2 and give g.\nAnswer: -6259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7532 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27634307*s**2 - 10*s + 267689 wrt s.\nAnswer: 55268614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3105\/90)\/23*(-56)\/6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 6*p**2 + 5*p + 4. Let f = -3 + 7. Give o(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + r. Let t(j) = 13*j**2 + 92*j + 1. Let s(d) = -6*h(d) - t(d). What is the derivative of s(f) wrt f?\nAnswer: -2*f - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5\/9 + 2272*t**4\/3 - 24916*t**3\/3 + 47264*t**2\/9 + 332906*t\/3 = 0?\nAnswer: -3, 0, 7, 3397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.5 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + -10110202?\nAnswer: -10111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2, -5*m - 5*s + 16 = -s. Suppose -b = m*b - 15. Suppose b*n + 0 + 3 = 0. Let y(x) = -8*x**2. What is y(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 32*u - 1. Let s = 1 - -1. Suppose -3*p - 2*p + 3*g = -23, s*g = 2*p - 10. Is f(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3722377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119918*o - 120020*o + 13770 = 0 for o.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 8077?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/13590 and 101\/30.\nAnswer: 13590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79020 + -54781. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.73183 meters to kilometers.\nAnswer: 0.01773183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -0.05, -0.037, 0.3 in descending order.\nAnswer: 0.3, -0.037, -0.05, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7 = s, -3*s + 2*n - 8 = -0*s. Let v = 3 + -3. Let x = v - -2. Sort x, 1, s.\nAnswer: s, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**2 + 283*z + 568. Give l(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-288)\/320)\/(3\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-36)*2\/(1*(-2)\/2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102102121220120 + 1020?\nAnswer: -102102121212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 5*p + 40. Let j be 190\/6 - (-10)\/(-15). Suppose 5*h = 106 - j. What is the remainder when h is divided by l(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s - 21. Calculate the remainder when y(9) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4542 + 12319. What are the prime factors of r?\nAnswer: 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 36. Let w = r + -14. Sort -1, w, 1\/3.\nAnswer: w, -1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 17 = -5*o + u, -4 = u. Let m be 2\/7 + 24\/14. Let d be (m - -3) + o - -2. What is d rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(((-70)\/4)\/5)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 16 - 208 = 0. Suppose y = -2*y + o. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -13*o**4\/4 + 15*o - 39. Differentiate w(k) wrt k.\nAnswer: -39*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 1 + 5. Let y be (v - (45\/(-40))\/3) + 2. What is the closest to -0.1 in 0, y, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.006419 minutes to seconds.\nAnswer: 180.38514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25007377 divided by 1\nAnswer: -25007377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*o + 2338*o + 267330 = -553*o - 45*o for o.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0 = -3*i - 7, -4*i - 2*p = 2. Let b = i - -6. Suppose -31 - b = -4*s. Solve 16 = 5*d - s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810 divided by 5?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/(17\/(-51))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74514.\nAnswer: 2, 3, 11, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlsd. Give prob of picking 1 s and 1 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**5\/20 + 5*h**4\/12 + 3*h**2 + 5*h. Let o be ((-10)\/(-4))\/(3\/6). Determine g(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 481842065*w - 481842067*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -35*m**2\/2 - 24*m + 69. Let v(t) = 105*t + 70. Let n(p) = -3*v(p) - 8*w(p). What is the derivative of n(c) wrt c?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 3328847.\nAnswer: 3328851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 81224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Suppose 0 = x + 2 - 3. Suppose 0 = -0*p - p + x. Let l(a) = -4*a. Calculate p*l(f) + 5*n(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdc when three letters picked without replacement from bbcbddnxbdxenbbnbex?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5 + 2178*n**4 - 142686*n**3 + 1960246*n**2 + 4357272*n + 2252160 = 0. What is n?\nAnswer: -1, 23, 48, 1020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, y: 2, e: 2}. Give prob of sequence ete.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 8350.\nAnswer: 4175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 5*g**2 - 8*g - 8. Let n(v) = -v**3 - 4*v**2 + 3. Let m be n(-3). Let d be i(m). What is the units digit of 2\/(-8) - (-33)\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5181227, 5181222, 5181217?\nAnswer: 5181212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 903041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4521 (base 6) to base 7.\nAnswer: -3040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = 0, -4*i - 2*m + 18 = -48. Calculate the greatest common factor of i and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*l - 840707 = -421*l - 2420*l - 7964*l for l.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 o, and 1 g when three letters picked without replacement from orozoogrgzgor?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) -5 (b) -369 (c) -249 (d) 1\/4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.06 (b) 5 (c) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 313103 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -98\/3105 and 7\/18.\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 2*f**7\/21 + 7*f**6\/120 + 131*f**4\/4 + f**3\/6 - 282*f**2. What is the second derivative of h(n) wrt n?\nAnswer: 240*n**2 + 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 30*k - 90. Let w be o(-10). Let l be (2 + -3)\/((-1)\/3). What is the derivative of 54 - 37 + w*j**l - 29 wrt j?\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198305990 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (-1656)\/135)*(-6825)\/(-130).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {f: 1, j: 1, i: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-31)*x))**20)**(-27) assuming x is positive.\nAnswer: x**(-16740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 357222 and 24636.\nAnswer: 714444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*(21 - -2)*1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -25*j**4\/12 - 21*j + 1. Let w(p) = -2*p. What is w(f(z))?\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 204520 to the power of 1\/2, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 93.23882 centimeters?\nAnswer: 932388200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 10*l**2 + 17*l - 13. Give y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -30?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g - 21 - g + g**2 + 4*g + 16*g. Let y be o(10). Suppose -2*a + y = 59. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1668.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/(-64)*((-352)\/28)\/11.\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Let u(k) = -k - 2*k + b*k. Let w(f) be the second derivative of f**4\/6 - 3*f. What is u(w(c))?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - b + 12. Let d(l) be the second derivative of -l**4\/12 - l**3 - l**2 - 101*l. Determine d(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103857220483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6194779360 and 427.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32459, -32415, -32351, -32273, -32187?\nAnswer: -32099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*q**2 + 2*q**4 + 11*q**2 + 107*q**2 + 26*q**3 wrt q.\nAnswer: 48*q + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -463753 or -463673?\nAnswer: -463753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 540.600003019 + -540.6. What is o rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 23. Suppose 4890 - 16475 = -o*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 960982.\nAnswer: 288294.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -189, 7, -2\/1559 in descending order.\nAnswer: 7, -2\/1559, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 70? (a) 2\/17 (b) -8.63 (c) -1\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2836 + 5869\/2. Let n = d + -100. What is the third biggest value in -1.2, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 85602?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-1)*((-80)\/(-6) + -14). Which is the smallest value? (a) -5 (b) j (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/12*(24\/(-75))\/((-220)\/(-50)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -1502 = -1502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*l - 1848 = 2970 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*l**2 - 137*l**2 + 97*l**2.\nAnswer: -170*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 634356 by 105726.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2598*g + 1810*g - 2429*g + 3332*g.\nAnswer: 5311*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -1131, -3788, -8963, -17496?\nAnswer: -30227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 7*o - 7. Determine p(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 8*a - 6. Suppose -2*r - 7 = -3*m, -5*r + 4 = 2*m + 12. Let k be 2 - 0 - (r + -1). Put -5, 14, k, a in ascending order.\nAnswer: -5, a, k, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/180 and 19\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -58, -210, -508, -1000, -1734?\nAnswer: -2758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*s - 49 = 0, 0*c - 65 = -2*c - s. Let b = -11 + c. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 7:47 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*m - 2 = 16, 0 = -5*u + 3*m + 162. Suppose 2*x - 7*x + u = 0. What is the third derivative of -6*k**x + 6*k**2 + 82*k**3 - 82*k**3 wrt k?\nAnswer: -720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878504322?\nAnswer: 2, 3, 6173, 23719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5760 and 502144?\nAnswer: 22596480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/5 (b) -4003\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -130 and 28.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.87, 1, 4\/7, 3 in ascending order.\nAnswer: 1\/4, 4\/7, 0.87, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2))\/((-6)\/8). Suppose -3*r + 5*r = -2*y - 8, 2*r + 9 = -y. Differentiate v**2 - 2*v**2 - h + y with respect to v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q + 50*q + 105 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*f**2 + 2 + 141*f**2 - 2.\nAnswer: -142*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**3 + 3*g**2 + 20*g. Let d(f) = -10*f**3 - 10*f**2 - 59*f - 1. Determine -2*d(j) - 7*q(j).\nAnswer: -j**3 - j**2 - 22*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3735?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 763\/1782272 or -1?\nAnswer: 763\/1782272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005121398918 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 8*m + 2. Let g be f(-8). Let s be 2\/((-24)\/(-10) + -2). Suppose -s*k = -4*n + g, -3*k = -n + 2*k - 7. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003724582 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 56*i + 2 - 23*i - 6.\nAnswer: -79*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88710.98mm to nanometers.\nAnswer: 88710980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -199*u - 251. What are the prime factors of k(-6)?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4082*r - 48526 + 59268 + 146338 = -512*r for r.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5269 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-143)\/330*2 + (-1)\/(-5). Let h = -0.3 - -0.4. Which is the second biggest value? (a) p (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 181803501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + t = 18, 4 = x - 4*t - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -291, -219 in descending order.\nAnswer: -4, -219, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -381*o**2 - 4179*o + 132.\nAnswer: -3*(o + 11)*(127*o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 15 = -30, -654*f + 658*f - 7*m - 97 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -8*a**3 - 2*a**2 - 5*a - 3. Let o(w) = -7*w**3 - 2*w**2 - 4*w - 3. Determine 4*k(r) - 5*o(r).\nAnswer: 3*r**3 + 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-78)\/(-4) + (-1)\/(-2). Suppose 0 = w*f - 23*f. Solve h = -f*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 5*j - 1. Let x be m(3). Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 880 and 704?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122528147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -112*k + 30*k - 23*k + 3*k + k + k + (2 + 3 - 3)*(-6*k + 2*k + 5*k).\nAnswer: -98*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 11 - 10 = 0. Let n be (q - -2)\/(-4 + 76\/16). Factor -2\/3*a**2 - n*a - 2\/3.\nAnswer: -2*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**4 - 2*l. Let q(v) = -6*v**4 - 3*v + 1. Let m(w) = 3*n(w) - 2*q(w). Differentiate m(s) wrt s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -50707.3719.\nAnswer: 50707.0719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035*k - 16 = -1039*k + 4*n, 0 = 3*k + 4*n + 23 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247.5996518 - 247.6. What is u rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37106219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Let p = -1 - -1. Let l = p + n. Which is the biggest value? (a) l (b) 1\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:56 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 100178 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 2. Let g(j) = -3*j - 6. Let q(n) = -2*g(n) - 5*v(n). Suppose 5*m - 28 = -2*x, 2*x - 2*m = -0*m. Calculate q(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*q**2 - 30*q**2 - 22*q**2 + 73*q**2 - 205*q**3.\nAnswer: -205*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1258 divided by 34?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - c5d356?\nAnswer: -c5d34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 2736410?\nAnswer: 2736411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*j = 0, 0 = -k - 2*k - 5*j. Is k greater than or equal to -1\/2024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9559 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -172, -137, -84, -7, 100?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/41052247?\nAnswer: -8\/41052247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 3. Let a be g(0). Suppose 5*t + a = 13. What is the first derivative of t - 4*o**3 + 3 - 4 wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*(3 + (sqrt(468) - sqrt(468)*-2*5 - sqrt(468)) + sqrt(468)))**2.\nAnswer: 9900*sqrt(13) + 1415922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 25 = 4*d, -3*j + 150024 - 150028 = -d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54068 is divided by 1317?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*g**2\/7 - 16934122*g\/7 + 2822354\/7.\nAnswer: -2*(g + 1411177)*(6*g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 16 + 34 + 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/10)\/1 - (8 - 1677\/130). Let z(h) be the second derivative of 0 - 25\/6*h**3 + l*h**2 - 20*h. Differentiate z(j) with respect to j.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l**3 + 237*l**2 - 4*l + 2. Let z(i) = 11*i**3 + 473*i**2 - 10*i + 5. Calculate 5*x(f) - 2*z(f).\nAnswer: 8*f**3 + 239*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (4 - (2 + (-1 - -3))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5)*(-2*j + j - 2*j)*(-4 - 2 - 2) - 7*j + 5*j - j.\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(4\/13)*m**(-3))**(-38)\/((m**(1\/4)*m)**(-39))**(-48) assuming m is positive.\nAnswer: m**(-30078\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181658.\nAnswer: 2, 3, 31, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -8*r - 18. Which is the third smallest value? (a) -3.3 (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, q: 3}. What is prob of picking 2 s and 2 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758103830 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3\/5))**(1\/2)\/(a\/(a*a**(2\/21)))**22)**(-36) assuming a is positive.\nAnswer: a**(-2892\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 + -0.34. Let o = 0.6 - 0.2. Let k = o + m. Put k, 5, 2 in descending order.\nAnswer: 5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47590 - -334.27?\nAnswer: 47924.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2625 is divided by 58.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -14*o**3 + 3*o**2 - 6*o - 16. Let t be s(-2). Calculate the common denominator of 182\/t - (-35)\/(-10) and -173\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**8\/420 + s**7\/210 + s**6\/90 - s**5\/30 - s**3\/6 + 4*s**2. Let c(w) be the first derivative of k(w). Factor c(o).\nAnswer: -4*o*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6280 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -2\/17, -3\/4 in increasing order.\nAnswer: -23, -3\/4, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a + 3. Let h(w) = -13*w + 5. Let f(n) = -4*h(n) + 9*z(n). Let l be 2\/(30\/69) - (-10)\/25. Suppose t + 4*j - 1 = -7, 4*j + 42 = l*t. What is f(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/2)\/(t**2*t))**(-12\/5)\/(t\/(t\/t**(-4))*(t\/t**4*t)\/t*t\/t**3*t*t**(-1)*t) assuming t is positive.\nAnswer: t**(94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 8*g + 84 = 0. What is the remainder when 36 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 781\/(-142)*(63\/(-165) + (-4)\/(-20)). Let v be 29\/77 - 2\/7. Which is the nearest to -2? (a) y (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -25*p - 2. Let v be g(-2). Suppose 3*f = 9 + v. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1691*p**2 + 445 + 522 - 155 - 129 + 682 wrt p?\nAnswer: 3382*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197*j**2 - 85*j wrt j.\nAnswer: 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + sqrt(7) - (sqrt(252) + -1 - sqrt(7)).\nAnswer: -4*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3, -10329 + 2550 = -5*p - 3*x. Suppose p = 8*z - 1654. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 355\/2617?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -2. Let l(v) = -3*v**3 - 6*v**2 + 9*v - 1. Let j(c) = c**3 + 3*c**2 - 4*c + 1. Let d(q) = t*j(q) + 2*l(q). List the prime factors of d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 13*l**2 - 2*l - 1. Let d = -9 - -8. Let f be h(d). Suppose -3*w = -22 - f. Solve 2*q = -2*m + 6*q + w, -4*q = -m + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 235 + -232. Solve u*b - 6 + 21 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47.3? (a) -2\/7 (b) 2 (c) -1\/4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + z - 56, -2*z + 84 = 3*g - 7*z. Solve 0 = 3*l - 25 + g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 13) to base 3\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7622.\nAnswer: 2, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 37622\nAnswer: 37610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -57, -315, -751, -1371, -2181, -3187, -4395?\n\"Answer: -r**3 - 83*r**2 - 2*r + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1149842, 1149839, 1149836, 1149833, 1149830?\n\"Answer: -3*s + 1149845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40.5 - 15312.605.\nAnswer: -15353.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -18, 20, 2, 1 in decreasing order.\nAnswer: 20, 2, 1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -45165.2872 rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142591 is divided by 124?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1952178 divided by 57417?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -27741d (base 14) to base 13\nAnswer: -38a158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98300 = -25*d - 14350. List the prime factors of d.\nAnswer: 2, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139420 is divided by 139.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/5 + -52 + 4. Let w = k - -46. Solve -w*m + 6 = -3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*s, 2*d + 0*d - 3*s = 1. Which is smaller: d or 3\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484)\/(1*sqrt(1584)))**2 - -6*sqrt(220)\/(sqrt(5)*-1).\nAnswer: -12*sqrt(11) + 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 5. Suppose -3*c = -4*c + 6. Suppose -2*m = -c*m + 24. Let p be (-102)\/(-24) + (-12)\/(-16). Let d(g) = -g + 6. Determine m*q(l) + p*d(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 2:48 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**4 + 4*r - 2*r**2 - 1 - 2*r + 8*r**4 in the form b*r**2 + u*r**4 + k*r + h + j*r**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 + 27*t + 22. Calculate the least common multiple of 84 and q(5).\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*z - 69, -4*k + 3*z - 45 = 2*z. Let w be k\/(-45)*10\/(-4). Are -2\/13 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + 26*m**2 + 0*m + 8*m.\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*11\/14 - 1. Let v be (2\/(-7))\/(2\/2). Put -2\/5, v, q in increasing order.\nAnswer: -2\/5, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9455?\nAnswer: 5, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.30079 millennia in years?\nAnswer: 68300.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -215.2495 + 215. Round s to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + sqrt(108) + 2 + -4)**2.\nAnswer: -120*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**15*i*i*i**(-1)\/i)**(-2\/69) assuming i is positive.\nAnswer: i**(-10\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 44*h - 366. Let i be x(9). Suppose -74 = -2*p + 4*p. Let o = p + i. Let b(s) = s**3 + 8*s**2 + 7*s + 3. Calculate b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913238.\nAnswer: 2, 23, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -199 bigger than -1388\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 13464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2877 + -2877.1. Put m, -1.2, 2\/7, -2\/3 in decreasing order.\nAnswer: 2\/7, m, -2\/3, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**2 - 56*m**2 + 3*m**2 + 5*m**2.\nAnswer: -35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80062291*s**4 + 53432441*s?\nAnswer: 960747492*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = 5*c + 5*b, 5*c = b - 11. Let u(z) = -z**2. Let d(w) = -w**2. What is c*u(i) + 6*d(i)?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**1*u**(1\/4))\/((u**(-4)\/u)\/((u\/(u\/(u\/(u*u\/((u\/(u**(-3\/4)\/u))\/u)))))\/u)) assuming u is positive.\nAnswer: u**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**7\/d*d**(-3\/19) assuming d is positive.\nAnswer: d**(111\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 9. Let b be i(6). Suppose -264 = 3*r - 7*r. Suppose b*f = f + r. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 + 4*p**2 + 4*p**3 - 8*p**2 in the form y*p**2 + z + o*p**3 + c*p and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u + 25 = -5*h, -u = 4*h - 5. What is the remainder when (-4 - h) + (174 - -8 - 4) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 2 - 10*y**2 + 3 + 3*y**2.\nAnswer: -7*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*f + 16 + 21 = 0, -4*d - 35 = -5*f. Let c = d + 10. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2513 - 17594\/7. Let q = 1 + 1. Which is the nearest to -20? (a) q (b) n (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 44*k + 12. Calculate y(15).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.3 (b) -0.69 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 4*q - 1. Let b be x(-5). Let v(f) = f**3 + 12*f**2 + 18*f - 19. Let r be v(-10). Suppose -4*a = 21 - r. Is a greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o - 48. Let q = -29 - o. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(3\/5)\/(i*(i*(i**(-2\/5)\/i)\/i)\/i)**(2\/31) assuming i is positive.\nAnswer: i**(-79\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*q**2 + 4 + 0 - 3*q**2 - 10 + 104*q**2 in the form c*q**2 + m*q + w and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/7 (c) 3.8 (d) -1\/4 (e) -4\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5519*y + 42102*y + 31668*y.\nAnswer: 79289*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1*-2 + 0. Let g = -108 - -112. Is (147 - h)*(g + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, l: 1, r: 1}. What is prob of picking 2 j?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 142118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2360, -9617, -21712, -38645, -60416?\nAnswer: -87025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfik when four letters picked without replacement from kfmkjkki?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (563 - 562) + (-45)\/(-6)*6\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -2\/19 (c) 382\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a day?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -19*n - 5*n**2 + 9 - 8*n**2 - 25. Let c(u) = -8 - 6*u**2 + 9*u - u - 20*u + 2*u. Let m(f) = 5*c(f) - 2*h(f). Factor m(x).\nAnswer: -4*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -5 (c) -164 (d) 0.04 (e) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*m**5 - 66*m**4 + 50*m**2 - 13*m wrt m.\nAnswer: 840*m**2 - 1584*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3143 (base 12) in base 9?\nAnswer: 7336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 9}. Give prob of picking 3 j.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1403, -1396, -1391, -1394, -1411, -1448?\nAnswer: -1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429494?\nAnswer: 2, 13, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136390 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -5 + (25 - 25) + 4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19518143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 65*l**3 + 742*l**2 - 4992*l + 8. Let v(t) = 41*t**3 + 494*t**2 - 3328*t + 5. Let m(j) = -5*a(j) + 8*v(j). Find the second derivative of m(w) wrt w.\nAnswer: 18*w + 484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(sqrt(704) - (sqrt(704)*-2 + sqrt(704))) - sqrt(704)) + sqrt(704))\/(sqrt(24)\/(sqrt(6)*1*1)))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15780 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 - 5)*(1 + 3*u**4 - 1) + (6 - 6 + 19*u**3)*(0*u - 2*u + u) to s + r*u**3 + k*u**4 + a*u + j*u**2 and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-392)\/70)\/(-14))\/(2\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 26*g**2 + 8*g + 4. Let r(a) = -81*a**2 - 22*a - 11. Let k(z) = 12*r(z) + 33*v(z). Let l(f) = 15*f. Determine l(k(y)).\nAnswer: -1710*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z**4\/11 - 9918*z**3 - 298024090*z**2\/11 + 223606716*z\/11 + 74526480\/11 = 0. Calculate z.\nAnswer: -9858, -3780, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -209*b - 157. Is q(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*x + 6 = 0, -17 = -2*w + 2*x - 13 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 - -273. Let x = 206 - m. What is the greatest common divisor of 712 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 3*v**2 + 4. Suppose 5*s + 3*g - 22 = 0, s + 0 - 2 = -3*g. Suppose -u + s - 2 = 0. What is the units digit of n(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmjkkrimjumkjjm. Give prob of sequence rk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 410\/50 - (-2)\/(-10). Solve -u - u = -i - z, 0 = -4*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5 + 31820*q**4 + 4866576*q**3 = 0. Calculate q.\nAnswer: -7799, -156, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34)\/(-7) + (-10)\/(-70). Suppose -7*u + 48 = -k*u. Calculate the remainder when 45 is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20c + 43?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 921506647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451200 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 3*o**3 + 7*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-14 - (-558)\/54)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 132*w**2 + 0 - 97*w**2 as c*w**2 + g + y*w and give c.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -61, -123, -223, -373, -585, -871?\nAnswer: -1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.91224l in millilitres?\nAnswer: 97912.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5901 or 0.1074?\nAnswer: 5901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2739210058?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 181357504 divided by 90678752?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47.0288 - 0.8748. What is x rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**4 - r - 2*r**4 - 2*r**4 + 2 + 18*r + 2*r**4 as f*r**4 + q + v*r**3 + n*r + d*r**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 1, 6 = 4*b - 4*x - 6. Suppose b*i = -3*i + 14. Suppose -v = 5, -i*o - 3*o = v - 1180. What are the prime factors of o?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + b = l - 7, -5*l = 4*b + 10. Is l > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r + 93 = -72 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**(-47)\/((o\/(o*o**(3\/5)*o))\/(o*o\/(o\/(((o*o**(-7))\/o)\/o)))))**43 assuming o is positive.\nAnswer: o**(2881\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*q + 6. Let j = -375 - -373. Sort 5, q, j.\nAnswer: q, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(1100) + -5*(-1 + sqrt(1100)))**2*3 + 4.\nAnswer: -2700*sqrt(11) + 267379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 89*m**3 + 4*m + 138. Let s(n) = n - 1. Let l(q) = a(q) - 5*s(q). Find the first derivative of l(t) wrt t.\nAnswer: 267*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -421, 2, -1, 13, 1.2 in decreasing order.\nAnswer: 13, 2, 1.2, -1, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fntpnpwnxnfp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4 + 387*x**3 + 1532*x**2 = 0.\nAnswer: -383, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2691 <= 2691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((4 - 13) + 1 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.185 and 1.768.\nAnswer: 0.32708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -11*r**3 + 5*r**2 - 5*r + 5. Let j(z) = 39*z**3 - 18*z**2 + 18*z - 18. Calculate 18*i(w) + 5*j(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 253739245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(0 - 1\/14). Let f(r) = 4*r**2 - 38*r - 21. Suppose 10 = 35*l - 34*l. Let u be f(l). Is v bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57802.\nAnswer: 2, 28901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112211 (base 4) to base 10.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 8*g + 11. Let p be c(3). Suppose -2*z = n + 4*n - 25, -p*n = -5. Put -2, z, 4, -1 in increasing order.\nAnswer: -2, -1, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5, -371, -6 in descending order.\nAnswer: 3, -3, -5, -6, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 16. Let d = -48 - -94. Let f = 46 - d. Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1927 and 615?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 426 and 5808.\nAnswer: 412368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 + 11*z**2 - 8*z + 10. Let a be j(7). Let t = -191 - a. Solve 0 = -h + t*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**4\/12 + 4*w**3\/3 - 3*w**2\/2 - 5*w. Let j(z) = z**2 - 6*z - 33. Let x be j(10). What is t(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 + 3. Which is the biggest value? (a) j (b) -2\/7 (c) 0.1 (d) -0.3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.73519917 rounded to 3 dps?\nAnswer: -0.735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 - 38. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -4. Let h = -346 + 346. Suppose 2*v - 12 - 2 = h. Calculate the remainder when v is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -2 - (-2 + 6 + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 21489000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15203511 + -334?\nAnswer: 15203133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 19*l + 12. Let a be d(-19). Suppose -2*n = -4, 15*n + 1619 = 5*t + a*n. What are the prime factors of t?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45a (base 14) to base 10.\nAnswer: -864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 36*h - 1071 = -39*h for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401216, 802433, 1203650, 1604867, 2006084, 2407301?\nAnswer: 2808518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(1\/24)*q\/((q**(-10\/11)*q)\/q) assuming q is positive.\nAnswer: q**(757\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 595429 to the power of 1\/2, to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -701244 (base 9) in base 8?\nAnswer: -1451102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) -3 (b) 2\/7 (c) 5.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:55 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 516, 883, 1268, 1677, 2116, 2591, 3108?\nAnswer: 3673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 500\/3*(-22600 + -2). Round y to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5 - 926*w**4 + 14222*w**3 + 306476*w**2 + 1003857*w + 712530 = 0. Calculate w.\nAnswer: -9, -3, -1, 29, 910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z + 3*z + z + (z - 2 + 2)*(1 + 0 + 0) - 2*z - 4*z + 4*z + 289*z + 74 + 24 - 291*z in the form h*z + p and give p.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from uml?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.7 + 0.3. What is the closest to -0.2 in -1\/5, u, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/94610, 1\/2, 1, 4, 39 in descending order.\nAnswer: 39, 4, 1, 1\/2, 1\/94610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 1.2973\nAnswer: -5.1892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:43 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1123*n**3 - n**2 - 768*n.\nAnswer: 6738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45317 or -226588\/5?\nAnswer: -226588\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 11*t - 14*t - 5, -3*j + 5 = -4*t. Let u be (j - 1499)\/(8 + 7435\/(-930)). Round u to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/(-3) + 12\/18. Suppose 0 = 3*l + x, 20 = 4*p + l - 4*l. What is the lowest common multiple of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60076.\nAnswer: 2, 23, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*h - 398*h = -2. Does 7 divide -18 - -14 - (-225 - 0\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 133430*f. Let a(r) = -r**2. What is b(a(w))?\nAnswer: -133430*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12\/25 of a gram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33233304 + 1?\nAnswer: -33233303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/5, 1, 103?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjjkkxjkkkjjjjjojk. What is prob of picking 3 j?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 6 + 5 - 6*z + 4. Let y be c(6). Let m be y\/(-15)*0*1. Solve 2*j = -3*a - 1, j + 2*a = -m + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 2*y + 29238. Let s(h) = -2*h. Give d(s(k)).\nAnswer: 4*k**2 - 4*k + 29238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -239502, -480358, -721214, -962070?\n\"Answer: -240856*x + 1354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25919 - -35476. List the prime factors of n.\nAnswer: 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/9 - 206*k**2\/9 + 560*k\/9 + 362600\/9.\nAnswer: -2*(k - 37)*(k + 70)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/17, 1200, 41, -4\/3, 1\/6.\nAnswer: -4\/3, 1\/6, 8\/17, 41, 1200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 13014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2*j**5*j)\/((j\/j**(-1\/4))\/j*j*j*j**(-3)\/j))\/(j**(-2)*j**(-1\/2))**(-36) assuming j is positive.\nAnswer: j**(-321\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from beaeyggy. What is prob of sequence eygg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-32))\/((-3)\/132))\/((-2154)\/(-14360)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -222 times 51420\nAnswer: -11415240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, -3\/5, -0.2, 20, 1\/4, -1.45?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2061 and 2061?\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 + 155. Suppose -4*w = w. Suppose w = -2*r + 4*r - y. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007616538 to 4 decimal places.\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -3455, 3, 32\/15?\nAnswer: 32\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 0)\/(4\/4). Let y(p) = 5*p - n + 3 + 4*p. Is y(2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 = -z. Let x(o) = o**3 + 3*o**2 - 5*o - 2. Determine x(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9 + (7 + 82\/(-10))*-5. Suppose 5*j - 2*c = 36, c + 5 = 2. Suppose -j + 2 = -4*o + 3*m, -8 = 2*m. Put 0, g, o in decreasing order.\nAnswer: 0, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 1)*(104*x + 66*x + 44 - 140*x).\nAnswer: 180*x + 264","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -3*m + 18*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-11 + 47 + -9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16\/15, 0.1, 3.\nAnswer: 0.1, 16\/15, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-4)))\/d*d*d*d**(2\/9))\/(d*(d*(d**(-1\/7)*d)\/d*d)\/d*d*d**(2\/11)*d)*(d*d*d**5)\/(d*(d\/d**6)\/d)*d**(-3)*d**0 assuming d is positive.\nAnswer: d**(1513\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 11) + 5 + -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 14310 = -38*c. Calculate the highest common factor of c and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -362733*k - 231. Let j(p) = -6254*p - 4. What is 231*j(o) - 4*y(o)?\nAnswer: 6258*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28995 - 388305. Round v to the nearest 10000.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 75. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21028*-28.\nAnswer: 588784","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 59754536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1066*k + k**2 - 1066*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/7, -0.87, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226 + 142 - 5*c + 84 + 26*c.\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 7. Let i(k) = k**3 - k**2 - k + 1. Let z(t) = -4*t**3 - 2*t**2 + 2*t - 4. Let l(q) = -q**3 + q - 1. Let o(s) = 5*l(s) - z(s). Give d*i(n) - o(n).\nAnswer: -2*n**3 + n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122\/7 - 18. Suppose 0 = -d, 0*c = c - 2*d. Which is bigger: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 9*g**2 + 478*g - 4693. What is z(10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -116 (b) 9 (c) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33557109 smaller than 33557109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 5*m - 33 - 46 + 61 = 0, -3*k = -3*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/11 or 226742?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**2 - 2*a - 2. Let v = -275 + 274. Let h be j(v). Let b = 3.2 - 3. What is the third biggest value in h, 0.1, -2, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 - 2*x**4 - 3*x**4 + (-5*x**4 + x**4 - 8*x**4)*(0 - 1 + 0 + (2 + 0 + 0)*(-3 + 2 - 1) - 78 + 49 - 48).\nAnswer: 982*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 88205, 87649, 87093, 86537, 85981?\n\"Answer: -556*l + 88761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 994765861\/131202 - -23\/7289. Let l = k + -7584. Calculate the common denominator of 2\/(-7)*(-43)\/(-4) and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -12*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170 - -325. Let o be (-1)\/(-5) - (-434)\/f. Solve 2*q - 1 - 2 = a, -5*q + 9 = -o*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 2*v + 0*v)*(-2 - 2 + 2) + v - v + 2*v + (2 + 2*v - 2)*(19 - 15 + 685) - 3 - 2*v + 3 to s + k*v and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*k**3*z**3 - 15*k**2*z**3 + 5*k**2*z**2 wrt k?\nAnswer: 456*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.124988092 + 0.12493. Round x to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37108522.\nAnswer: 2, 11, 23, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxbxbxxbxxbxbxxxxx. Give prob of sequence xxxb.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 33 + (1 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/2*(-16)\/12. Suppose -j*s - 3*s = -20. Suppose -s*r = r - 20. Solve -k + r*k - 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 10*z + 3. Let r(l) = 10*l + 11. Let f(y) = -13*y - 9. Let g(d) = 3*f(d) + 2*r(d). Calculate 11*a(x) + 6*g(x).\nAnswer: -4*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 129 and 4508162.\nAnswer: 4508291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/8)\/(2\/(-24)). List the prime factors of p - (6\/3 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v - 4. Let z(s) = -7*s + 5. Let k(c) = 6*m(c) + 5*z(c). Let n be k(6). Solve 0 = -5*d + n + 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 26, 40, 58, 80, 106, 136?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 68*u**2 - 3*u + 2*u - 57*u**2 - 115*u**2.\nAnswer: -104*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 0.0463.\nAnswer: 0.6945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + 5)*8\/36. What is the closest to -2 in -0.3, m, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*f + 27, 0 = -d - 2*f - f + 11. Suppose -8*b = -6*b - 14. Calculate the least common multiple of d and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -120556.7, -4\/7, -1, 0.4 in ascending order.\nAnswer: -120556.7, -1, -4\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 1)*(-1 - 5 + 2)*(2*o + 0*o - 4*o).\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*j = 1176, 1992 = 2*z + 3*z - 3*j. What is the greatest common factor of 36 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, m: 4, h: 3, w: 9}. Give prob of picking 1 h and 3 x.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 543 - 280 - 275 + 8*n. Calculate z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 2003230?\nAnswer: 2003216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 22770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -29. Let j = -9 - a. Suppose t = -4*o - 1, -j*t = 5*o - o - 13. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102757 divided by -18.\nAnswer: 102757\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*v + b, -9*b - 9 = -12*b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 - 5*a**3 - 2*a**3 + 0*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -425*w**4 - 2*w**3 - 2*w**2 + 2*w + 540. Let s(o) = o**4 + o**3 + o**2 - o + 1. Let d(f) = -j(f) - 2*s(f). Find the first derivative of d(p) wrt p.\nAnswer: 1692*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 1, a: 1, m: 1, v: 1}. What is prob of picking 1 a and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.2, -5, 8, 1\/3 in ascending order.\nAnswer: -5, 1\/3, 5.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. What is the third derivative of 5*x**2 - i*x**3 + 0*x + x**2 + 0*x wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3186, 6364, 9542, 12720?\nAnswer: 15898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52382651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from tfxaaaaxax.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27*(3 - (98\/(-21) + 6)). What is the highest common factor of y and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 114*x**3 + 272*x**2\/7 - 530*x\/7 - 4\/7 = 0?\nAnswer: -1, -1\/133, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*p + 48*p - 2 + 4*p wrt p?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 731 and 45135.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 25. Suppose 5*k + 2*h = 23, 2*k + 3*h - y + 4 = 0. Suppose k*g = 7*g. Solve r - 4*r - 15 = g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1172, 4, -4, 5 in increasing order.\nAnswer: -1172, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 3*g - 3. Let v be w(-2). Do v and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(280) - -1*sqrt(280) - sqrt(280) - sqrt(280))*-5)\/sqrt(5))\/(-6*1*sqrt(392)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 23*n**2 - 22*n**2 + 0.\nAnswer: n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -3 (b) 76 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9396, 9407, 9432, 9477, 9548, 9651, 9792, 9977?\n\"Answer: y**3 + y**2 + y + 9393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -9208?\nAnswer: -920d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1) + 3 + -4. Let b be (-3 - -2)\/(-1 + j). Is b\/2 + 17\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w + 3*l + 3, 2*w + 5*l = 23. Suppose -2*p = -5*v - 120, -w*p + 102 = -v - 120. What is the greatest common divisor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -8, -64.\nAnswer: -64, -8, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-55))\/(5\/(-55))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3 = -d + 2*g, -2*g + 2 = 4*d. Let l be d - 11\/9*1. Suppose -6*k + k = 0. Which is the second biggest value? (a) k (b) -1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - 6*n**3 + 2*n**3)*(0 + 2*n**2 + 0) - 4*n**4 + 6*n**4 + n**5 - 2*n**5.\nAnswer: -7*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.459 + -10.4. What is o rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.6 (c) 985 (d) -4 (e) 5 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f - 9. Let x(n) = -n + 2. Let c(d) = -4*j(d) - 18*x(d). Let s(p) = 6*p + 5*p - 18*p - p. Calculate c(s(h)).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 7.9999966. What is t rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -1 - 2. Let s(j) = -25*j + 1. Let u be s(1). List the prime factors of 1 - (u + -1 + m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2366684300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*c**2 + 183*c**2 - 10526*c**3 + 178*c**2 - 10939*c**3.\nAnswer: -21465*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72 - -4608?\nAnswer: 4546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.7 + -0.3. Let a = 3.9999994 + l. Round a to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 6 = 3*v, 2*v - 11 = 4*v - t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 58663570?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(sqrt(11) - (-4 + sqrt(11) + -3)) + sqrt(121)\/((-2*sqrt(44))\/sqrt(4))).\nAnswer: sqrt(11) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i + 60. Let t be z(12). Suppose -31*c + 28*c + 1023 = t. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70855 or -70856?\nAnswer: -70856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/(15\/(-1050)). Let g be (-11)\/b + 1 + (-126)\/315. What is the closest to g in 2, 1\/5, 1\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -t - 1 + 4, 5*t - 28 = 2*x. Calculate the remainder when 11 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*x**2 + 57*x**2 - 113*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 888, 1652, 2444, 3276, 4160, 5108?\n\"Answer: 2*o**3 + 2*o**2 + 744*o + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/10 + 1080\/25. Let g = c - 28. Let x be (-301)\/(-63) - 3\/(27\/(-2)). What is the highest common divisor of g and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 381701\/210 + -12711\/7. Let f be (-17882)\/40 - (-4)\/(-6). Let h = f + 2249\/5. What is the common denominator of g and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 f, and 1 b when three letters picked without replacement from {f: 2, b: 5, u: 4, z: 2}.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/((-4)\/(-52)*(-79)\/79)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 10:05 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + 151\/2. Put 1\/23, 1\/2, j in increasing order.\nAnswer: 1\/23, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 217712097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 275959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -977, -978, -983, -992, -1005, -1022?\n\"Answer: -2*i**2 + 5*i - 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 5:45 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -587, -586, -585, -584?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 3211054?\nAnswer: 1605527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 434 - 428. Suppose r*w = -38*w + 4928. Calculate the highest common factor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*4*3 - (sqrt(102) - (4*sqrt(102)*1 - sqrt(102))))\/(((sqrt(768) + sqrt(48))*4)\/(sqrt(200)*-6)).\nAnswer: -21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/190? (a) -1\/4 (b) 53 (c) 0.5 (d) -5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/42)\/((-12)\/(-126))*50\/(-75)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -3)*17\/(15 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8019 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184186603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*2\/(-8) - (2 + -2). Suppose 4*k - 5*m - 114 = 0, -m + 33 = i*k - k. Calculate the remainder when 52 is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-66)\/18 - (-18)\/(-27).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10976767, 21953532, 32930297, 43907062, 54883827?\nAnswer: 65860592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 11) to base 16\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y**2 - y)*(2 - 2 - 2*y + 5 - 3*y - 5 + (-2*y - 3*y + 4*y)*(4 - 3 + 0) + y + 3*y - 2*y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o + 5035 - 5035.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 82*v - 4. Let q be y(1). Let f = -66 + q. Let s be (-4)\/22 - (-12 + f). Which is the fourth smallest value? (a) 0.1 (b) 2 (c) -3\/4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*a*p**3 + 13*a*p**2 + 378*a with respect to p.\nAnswer: -54*a*p**2 + 26*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -30. Suppose -4*q - 5*l = -5, i*l - 3*l = -q - 20. Put 0, q, -3 in increasing order.\nAnswer: q, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10335?\nAnswer: 3, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 3*b**2 + b - 11. Calculate the lowest common multiple of 6 and x(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**3 - g**2 - g. Let u be t(-1). Suppose 2*w - 9 + 25 = -4*b, -3*b - 12 = -u*w. Solve q = 5*h - q + 14, 5*h + 3*q + 29 = w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11010000011110110001101?\nAnswer: 11010000011110110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2814.\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 0 + 2*a**2 - 13*a - 12 + 12.\nAnswer: 4*a**2 - 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -23.434. Let i = 0.4 + o. Round i to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -15*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0 + 10 = 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3057*o + 16*w = -3058*o + 469, -3*w + 92 = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2. Let u(i) = 2*i + 0*i + 4*i - 4*i. What is r(u(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4888, -4761, -4568, -4309, -3984?\nAnswer: -3593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*p + 15, -2*p + 6 = 4*o - 6. Suppose -4*c + 25 = c. Suppose p = 4*a + 4*n - 76, -4*a + c*n = -0*a - 67. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*c**2*w**3 + c**2*w**2 - 408*c*w**3 - 237053*w**2 wrt w.\nAnswer: -132*c**2 - 2448*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/2))**(1\/9)\/(u**7*u\/u**(-6)) assuming u is positive.\nAnswer: u**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -7*f**5\/60 - f**2. Let j(y) be the first derivative of -4*y**2 - 74. Calculate p(j(d)).\nAnswer: -448*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/20*-3*45\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1949664 to the nearest 10000.\nAnswer: -1950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -304 * -0.9\nAnswer: 273.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31661*0.02\nAnswer: -633.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -51. Suppose 2*d = -2*d + 5*f + j, f = -1. Factor 0 - 2\/7*a**5 - 2\/7*a**4 + 2\/7*a**d + 0*a + 2\/7*a**3.\nAnswer: -2*a**2*(a - 1)*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2*b = 4 + 8, 0 = -4*k - 2*b + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**3 - 4 + 0*a - 1\/2*a**4 + 0*a**2. What is the third derivative of c(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 19. Let l be a(6). Let r(g) = -10*g**3 - 5*g**2 - 5. Let m(h) = -h**3 - h**2 - 1. What is l*r(q) + 5*m(q)?\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (32 - -10) + -32 + (-3 - 10) + (1 - -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.7 - -3. Let i = 0 + j. Let d = 204 + -199. Put d, 7, i in descending order.\nAnswer: 7, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2310748?\nAnswer: 2, 11, 52517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*9\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10. Suppose 2*k - 11 - 7 = o. Suppose 2*b = -5*f - k, 2*b + 2*b + 5*f = -3. Solve 4*w - b*w = -2*x, 0 = -3*w - 3*x - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}