diff --git "a/data/dm_maths/full_data_1/10581_11255.jsonl" "b/data/dm_maths/full_data_1/10581_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10581_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 2*j = -6*r - 88, 5*j - 1020677 = -r - 1020701 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 + 486. Let l = -370.99602 + f. What is l rounded to 4 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1424, -1362, -1276, -1178, -1080, -994?\n\"Answer: -2*l**3 + 24*l**2 + 4*l - 1450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2862, 6429, 10000, 13575, 17154, 20737, 24324?\nAnswer: 27915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from {y: 2, p: 1, h: 2, e: 1, z: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**4\/3 - 14630*z**3 + 219780*z**2 - 1186990*z\/3 + 190515 = 0. What is z?\nAnswer: -8793, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95429 - 8*c + 95429.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 45*m**2 + m**2 + 6 - 8*m**2 + 1.\nAnswer: -52*m**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and -7.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 take away -24978?\nAnswer: 25403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - u**2. Let q(w) = w**2 + 7*w - 1. Let s be q(-7). Let y be f(s). Suppose -40 = -3*m - y*m + i, 25 = m + 2*i. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 0 = 6*u. Suppose -8*c + u*c + 426 = 2*a, a + 81 = c. What is the smallest common multiple of 6 and c?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4812, -4792, -4772, -4752, -4732, -4712?\n\"Answer: 20*s - 4832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 1. Let a(f) = -3*f**2 + 5*f - 25. Let c(i) = -a(i) + 5*r(i). Is c(4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -473 - -409 - (0 - 39).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27, -71, -141, -231, -335?\n\"Answer: m**3 - 19*m**2 + 6*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z = w + 50, 3*w = -5*z - 66. Let s be 0 + -1 + z\/(-3). Let v(p) = -s*p - p + 0*p - p. Let r(n) = n**2. Calculate r(v(a)).\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 6*b + 22. Suppose -464*t + 230*t + 230*t + 20 = 0. Determine o(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 72*z - 18287 = -733*z - 67489 for z.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -766*b + 221. Does 35 divide w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 415 - 415. Let r(a) be the first derivative of 5\/4*a**4 + 0*a - 6 + w*a**3 - a**2. Find the second derivative of r(g) wrt g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 2. Let a = -41 - -40. Let z = a + u. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*m + 15 = -5, 5*k - 12 = -3*m. Let j(t) = 5*t - 1. Let y be j(2). Let c = k + y. What is the remainder when 25 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12634849.\nAnswer: 127, 99487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 13 + 0)*(4*x - 4*x + x + (-1 + 4 - 2)*(4*x - x - x) + x + 7 - 7 + (-4 + 4 - 1)*(2*x - 3*x - x) + 0*x - 4*x + 3*x).\nAnswer: -65*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2)*b)**(-50)\/(b*b**(-1\/3)\/b)**(4\/5))**48 assuming b is positive.\nAnswer: b**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 29*w**3\/3 + w + 2. Let h be k(1). Calculate the highest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 17*p - 11. Let o(u) = -33*u + 21. Let t(r) = 9*k(r) + 4*o(r). Let n be t(-7). Let h = -103 - n. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (34\/85)\/(1\/60). Suppose 5*g = -3*v + 32, -5*g + 24 = v - 0*v. Let i be -4 + v + (-144)\/(-2). Calculate the highest common factor of z and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -239*o**2 - 421*o wrt o.\nAnswer: -478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**6\/120 + t**5\/60 + t**4\/8 + 2*t**2. Let c(v) be the second derivative of q(v). Calculate c(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 8*n - 3. What is the units digit of a(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2219 (b) -4\/7 (c) -2\/25 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*c - 107\/3*c**3 + 1\/3*c**4 - 36*c**2.\nAnswer: c**2*(c - 108)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2654663616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4645 = 5*w, -6*r + 8*r - 2*w = 1838. Suppose 5*g = 8*g - r. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 591724 and 4522.\nAnswer: 191126852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y + 2. Let k(w) = 13*w + 3. Let f(i) = -5*k(i) + 7*r(i). Let c(v) = 0*v + 2*v + 3*v + 1 - 3*v. Suppose -12 = -3*a + 3. Determine a*c(n) + 4*f(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*u + 36. Suppose -5*v - 2*i = -15, u*v + 8 = 2*v + 2*i. Solve -9 = 2*k - 3*h - 2, -4*k = -h - v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than or equal to 5928\/925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18307?\nAnswer: 18307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 4*h + 218. Suppose 4*a - p = 16, 3*a - 3*p - 30 = -9. Suppose 3*g + 6 + 14 = 5*q, 4*g - a*q = -12. What are the prime factors of c(g)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15259086 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 14550 to the nearest 100.\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 311330132330 (base 4) in base 14?\nAnswer: 1c417c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20781049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6306 and -0.06528.\nAnswer: -6306.06528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -23*j + 22*j - 375, 1127 = 3*l - 5*j. Let p = 465 - l. Solve p - 103 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/5))**(-9\/8)*k**(5\/3)\/k*k*k*k\/k**(-7) assuming k is positive.\nAnswer: k**(1307\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/180 + 5*b**4\/4 + 225*b**3\/2 + 76*b**2. Find u such that i(u) = 0.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 471, 4347, 10793, 19809, 31395, 45551, 62277?\nAnswer: 81573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*p + 17 = -0*d, 5*d - p - 25 = 0. Solve -m - 3*t + d = 0, 8 = -m + t + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 - 4*r**2 + 4*r - 4. Let h be p(2). Let i be 1 + 2 - 4\/h. Suppose -i*k = 2*k. Solve 4 = -4*x - k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + 3 + sqrt(605) + sqrt(605) + 0.\nAnswer: 3 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41736 and 41736?\nAnswer: 41736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (364\/3458)\/((-45)\/(-41895))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {b: 5, n: 13}.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 1640.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 6. Suppose 0 = c + c - 3*l - 65, l = -4*c + 109. Let t = 30 - c. What is the remainder when y is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34266138 by 580782.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 8*p. Let z(n) = n**2 - 7*n. Let g(s) = -2*r(s) - 3*z(s). Suppose 5*f + 27 = 7. What is g(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/900*5)\/(4\/((-96)\/4))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.21 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 3*c - v, -121*c = -249*c + 119*c - v + 3 - 112 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7172082, 7172078, 7172074, 7172070, 7172066, 7172062?\n\"Answer: -4*i + 7172086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.82 - 0.38. Let p = 15 + g. Which is the closest to 0? (a) p (b) 1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 282108528 - 4?\nAnswer: 282108524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.8 + -16. Let y be (-12)\/(-15) - 18\/(-15). Suppose -y*k - 16 = -4*x, -4*x - k + 24 = k. Sort -2, 4\/3, x, f in descending order.\nAnswer: x, 4\/3, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-8 + (7 - -10) - 24)) + (-32 - -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 12*j - 28 + 9*j to the form u*j + n and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 323*u - 325*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 13 = -12. Let f = 0.2 + -0.4. Is f at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-30)*45\/36\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492618 to the power of 1\/2, to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.53 + 0.03. Let q = -0.104 - -2.104. What is the second smallest value in q, 0.01, x?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -0.5, -0.4, 6\/5, -3\/514 in ascending order.\nAnswer: -0.5, -0.4, -3\/514, 6\/5, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 222*q - 5132. Calculate d(22).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*u + 1, 2*u = 4*h + 6*u. Let f be (-26)\/((-2)\/h) - 2. Suppose -3*g = -5 + 2. What is the highest common divisor of f and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j = 12. Let c(p) = p + 2. Let d be c(18). Suppose 0 = 5*i - d, -3*g - i = j*i - 85. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*z + 2 - 1 - 1.\nAnswer: -80*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.01 - 9.81. Is b smaller than 19.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2269, 2271, 2273?\n\"Answer: 2*t + 2267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -2*k - 592. Is 6 a factor of (k\/4)\/(24\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4898 + 9733\/2. What is the common denominator of r and 91\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*a + 90, 10*v + 60 = -2*a + 13*v. Is (10\/a)\/(2\/(-12930)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387747360 divided by -34320?\nAnswer: -11298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1175000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-3)\/30*85\/(-51)*(-125)\/(-1375)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122990117*a**5 - 2*a**3 + 14*a**2 + 52*a + 1340.\nAnswer: 7379407020*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 5. Let n = -26 - -45. Suppose y*g - 32 = -2*t, 4*g - t = 1 + n. Calculate the smallest common multiple of 16 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8604\/27)\/(-2)*3\/(-2)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -84536, -169025, -253410, -337643, -421676, -505461, -588950?\n\"Answer: 8*j**3 + 4*j**2 - 84557*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 218*b + 23*b**3 - 127*b - 113*b + (-2*b - 2 + 2)*(-16*b**2 + 18*b**2 - 3*b - b) in the form p*b + w + n*b**2 + k*b**3 and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 243\/274852 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -695339?\nAnswer: 556271.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 12*y - 56. Solve y*v - 10*v = -6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = j + 11*k - 3300, 0 = 3*j + 3*k - 9876. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11 (b) -0.142 (c) -1\/3 (d) -224 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 + 32 = -9*s - 4*y, 3*y + 15 = 0 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.527 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3*l\/l**(-1\/3)*(l\/((l*l**(1\/3))\/l))**(-46))**(-50) assuming l is positive.\nAnswer: l**(3950\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -597, -1379, -2719, -4617, -7073?\n\"Answer: -279*t**2 + 55*t - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2, 4, 6 in descending order.\nAnswer: 6, 4, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 11. Let a be j(-6). Let l be (-7)\/((-21)\/(-45))*3\/a. Solve 5*o + 18 + l = -3*t, 0 = -t - 3*o - 13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/12 and 35\/128?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(208) + 1)**2*-3 + sqrt(208) + 1*(3 + sqrt(208))**2 + 0.\nAnswer: 52*sqrt(13) + 844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351631072 and 292.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddg. Give prob of picking 1 g and 2 d.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*y - 534 = y + 106 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 294970 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14995 - 15000. Let i = -1870\/13 + 144. Put i, -2\/11, x in decreasing order.\nAnswer: i, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {i: 1, j: 1, g: 7, y: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 213217 divided by 5?\nAnswer: 213217\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55059485 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Calculate prob of sequence bb when two letters picked without replacement from ofrfbbbbbfiobb.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(77)*-2 + sqrt(77)) + sqrt(77))\/(sqrt(448) + sqrt(448)*-2) + 3.\nAnswer: sqrt(11)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48264228 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -800 - -1501. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/18)\/(6\/(-12))*3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/2 (b) 5\/6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 105.9.\nAnswer: 317.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/896 and -29\/12.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/113736 and 65\/9681?\nAnswer: 52432296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2, -0.4, 1.18, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 11. Let m = 19 - l. Let z = m + -22. Which is the nearest to 1\/3? (a) -3 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -99*b + 97*b. Let n be (4\/(-6))\/((-1)\/9). Suppose 4 - n = 2*o. Put -2, o, b in decreasing order.\nAnswer: o, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-76)\/19 - 162\/(-39). Which is the closest to -16? (a) 0.5 (b) 1\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128*n**2 + 70*n**2 - 3*n + 2*n**3 + 68*n**2 - 2*n wrt n.\nAnswer: 12*n + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 686838 - 435267. Let g(o) = -x + 251571 - 5*o. Let w(b) be the second derivative of b**3\/2 - b. Determine w(g(q)).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-6)\/32)\/((-102)\/68)*34.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htkh when four letters picked without replacement from whkkwhkkwwktwkkwtk.\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/((-3)\/(-4)))\/((-3)\/(-6)). Suppose v*b = 377 + 247. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:52 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3\/6 - q**2\/3 + q\/2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3005758 - 3005758 + 2794*w.\nAnswer: 2794*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1115301 is divided by 3189.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 0*l**5 + 5\/168*l**8 + 0*l**3 + 0 + 0*l**7 + 0*l**6 + 0*l + 1\/12*l**4 + 9*l**2. What is the second derivative of v(t) wrt t?\nAnswer: 200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -50, -102, -142, -164, -162, -130?\n\"Answer: m**3 - 59*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 1. Let l(w) = -6*w**2 - 12*w - 12. Let b(g) = -l(g) - 12*o(g). Let d(c) be the second derivative of 0*c**2 + 0 + 1\/3*c**3 + 6*c. What is d(b(n))?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 5*q + 30, -a = -2*q + 1 - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*t**3*v*w + 211*t**3 - 2*t**2 - t*v*w**2 - t*v - v*w**2 with respect to w.\nAnswer: 18*t**3*v - 2*t*v*w - 2*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*m - 32. Let k = 2 - 12. Let l be 24\/20*k\/(-4). Solve -l*t + 5 = m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*x - 3*o - 14, 0 = 3*o - 12. Solve -3*c - x = 2*q, -5*c + 2 = -2*q - 0*c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 = -7. Let f be (d\/4)\/((-34)\/8). Let w = -0.05 + -1.95. Put f, -4, w in descending order.\nAnswer: f, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 2\/5, -46, 4, -1721, 1, 3\/37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -3 - 0\/(-3). Suppose -4 = -k, -k + 21 = 3*f + 5. Let n be f\/22 + (-104)\/88. Put o, -5, n in descending order.\nAnswer: o, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015446278?\nAnswer: 2, 7, 11, 17, 37, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20094*q**4 - 3235*q**2 + 1202674136 wrt q?\nAnswer: -80376*q**3 - 6470*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*b - 27*b + 2777 = -7521 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 5*j - 7 + 1 + 6.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/110*3*(-6)\/(-9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 12*d**2 + 23*d + 41. Calculate the remainder when 4\/10 - 426\/(-10) is divided by u(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15637\/642 - 270\/107. Let r = s - 22. Which is the closest to 2\/9? (a) r (b) 0.2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -700*z**2 + 4*z - 4040. Let h(g) = 352*g**2 - 2*g + 2017. Let n(s) = -9*h(s) - 4*j(s). Find the first derivative of n(k) wrt k.\nAnswer: -736*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Suppose -p*b - y = 2*y - 10, 4*b = 3*y + 22. Is b smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - 54\/(-4))*-4*3\/(-18)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10100001?\nAnswer: 10100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*x + 4*o, 0*x + 3 = x + 3*o. Let z(w) = -2*w + 2*w + 14 - w + x*w. Let l be 1\/(-6) + (-215)\/(-30). Calculate z(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 4 = 11*c. Let i be -71 - (2 + 27\/(-12))*c. Let g be i\/(-14) - (-1 + 4). Solve s - g*s = 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203516440?\nAnswer: 2, 5, 307, 16573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 0\/(-1 - (2 - -1)). Calculate the common denominator of (c - 14\/10)\/(1488\/2015) and 28\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299144 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -30*v + 65. Let m be s(-3). Let i(p) = 15*p - m - 151 + 309. Calculate i(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = t - 25 - 32, -2*t = 0. Let h(n) = -l*n - 2*n**2 + 6*n + 12*n. Determine h(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * -0.185.\nAnswer: -3.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-2565))\/(24\/(-18))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -716 and 901.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 264 - 309. Sort -2, b, 1.\nAnswer: b, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45665*s**3 + 2221*s**2 - 12*s?\nAnswer: -273990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13216 and 2963806.\nAnswer: 331946272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 3*d**2 + 3*d - 7. Let m be a(-5). Suppose -3*i = -5*i + 64. Let p be (-2)\/(-3) - i\/(-6). Solve 0 = 2*n + p, n = 5*w - 0*n - m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by (9 - (6 + 2)) + (0 - -40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6*r**4 - 254*r + 254*r)*(0 - 3 - 1).\nAnswer: -24*r**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 373, 1016, 2479, 5080, 9137, 14968, 22891, 33224?\nAnswer: 46285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 192724574*g**3 + 166221871*g**2?\nAnswer: 1156347444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -160 (base 14) to base 9.\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 11:58 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**5\/20 + 2*z**4\/3 + z**3 - 3*z**2 + 3*z. Let s be j(-7). What are the prime factors of (-24)\/(s\/(1\/(-1)))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16e76 (base 15) to base 12.\nAnswer: -36aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 140687?\nAnswer: 140687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2012 = 2*w, -5*o + 1618 = 2*w - 397. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31 + 0.3. Let f = -528.99 - -526. Let d = k + f. Put 0.4, d, -5 in ascending order.\nAnswer: -5, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3307202*a**3*u + 114*a**3 + 51*a**2 - 2*a - 25 wrt u.\nAnswer: -3307202*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and -149?\nAnswer: -20.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -10) + -7 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -615, -603, -577, -531, -459, -355?\n\"Answer: y**3 + y**2 + 2*y - 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h**2 - 5*h. Suppose 0 = 8*n + 16*n + 48. Let c(u) = 6*u**2 - 2*u. Calculate n*m(q) + 5*c(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19124034947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5437 + -4.5437. Let l be (-4)\/6*1\/6. Let p = -0.2 - -0.1. Sort l, z, p in decreasing order.\nAnswer: p, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 21*m - 20*m - 11, -2*m = -3*g + 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 15. Let o(j) = j**2 + 4*j - 16. Let g be o(-6). Let p = 18 - 9. What is the remainder when p is divided by h(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10873, -0.02, -3, -16?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17001*s**3 - 6 - s + 1 + 17004*s**3)*(-11 - 4 + 1).\nAnswer: -42*s**3 + 14*s + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k - l + 49 = 0, -2*k = -4*l - 56. Let c be 6 + 2\/18*0. What is the highest common factor of c and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 0.08?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 49. Let y(f) = 4*f + 9. Let p be y(u). Let h be -3 + (-7)\/(14\/(-18)). Solve 5*w = -5, p - h = -2*r + w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -45*p**3 - 54*p**2 - 54*p + 54. Let s(f) = -4*f**3 - 5*f**2 - 5*f + 5. Suppose -7*d + 12*d - 25 = 0. Determine d*n(x) - 54*s(x).\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -6\/1597, 2 in ascending order.\nAnswer: -6\/1597, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/72 - i**5\/3 + 10*i**4\/3 - 4*i**3\/3 + 12*i**2. Let d(l) be the first derivative of b(l). What is v in d(v) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 times -10348?\nAnswer: -1158976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115550 (base 15) to base 13.\nAnswer: -22cbb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - ((-21)\/4)\/(30\/(-24)). Which is bigger: c or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 r when three letters picked without replacement from {q: 3, g: 4, r: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -21 - 5*n + 21. Let h(z) = 12*z**2. Give o(h(g)).\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.28 - 12.78. Which is the nearest to 0? (a) 0 (b) -2\/177 (c) -0.3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 7382?\nAnswer: 7377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**3 + 290*q**2 - 149*q - 356. Give l(-42).\nAnswer: -1154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 67, 159, -0.9 in descending order.\nAnswer: 159, 67, 0.5, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1428241 - 986532. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2 = -4*g + 22, -5*a - 3*g + 15 = 0. Let b be 2*(-2)\/4 + a - -3. Let b - 2 + 7*d**2 + 4*d - 5*d**2 = 0. Calculate d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -3, -7\/2 in decreasing order.\nAnswer: 2\/17, -3, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 7*o + 8. Let b be f(-8). Factor 0 + b*c**2 + 2\/11*c**3 - 4\/11*c**4 + 0*c + 2\/11*c**5.\nAnswer: 2*c**3*(c - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**3\/11 - 2062916*o**2\/11 - 1063905605764*o\/11 = 0?\nAnswer: -1031458, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1915463483 to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.51083682 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*x + 17 = -5*x, 0 = 4*o - x - 33. Solve 2*p - 2*n - 3 = -o, -3*p - 18 = n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/2)\/g*g)**(-1\/53)*(g**5*g*g)\/g*g*g*g**(2\/9) assuming g is positive.\nAnswer: g**(7871\/954)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + w**3 + 0*w**3 + w**3 + 2*w**3 + 3*w**3 + (-84*w**2 + 10*w**2 - w**2)*(2*w - 5*w + 4*w) as o*w**3 + v*w**2 + a*w + n and give o.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 33*g**2 + 5*g - 22. Let w(k) = -16*k**2 + 0*k + 7*k - 9*k + 11. Let a(f) = -2*t(f) - 5*w(f). Differentiate a(s) wrt s.\nAnswer: 28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8088 and 0.0103.\nAnswer: -83.3064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 3*p**2 + p)*(6*p - 3*p - 2*p)*(p - 6 - 7 + 14) to n + f*p + w*p**2 + o*p**3 + d*p**4 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15245*c - 133 = 15264*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25633 (base 10) to base 13.\nAnswer: -b88a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42452354\/77 + 15\/(-55) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 17 = p - 23, 80 = -5*q - 5*p. Let f = 17 + q. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/26, 879, 0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 0*p - p - 7, 2*g + 3 = -p. Let x(r) = r**2 - 1. Let m be x(0). Put m, 1, g, 4 in descending order.\nAnswer: 4, 1, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 12. Let v be k(14). Let t = -12 - -22. Solve v*r - t = -0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/18436 and 83\/3352.\nAnswer: 36872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d**2 - d**3 - 19*d**2 - 1 - 6 - 13*d. What is the remainder when 65 is divided by s(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248\/569 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*t = -52*t - 36. Let j = 21 + t. Let d(r) = -r**2 + 7*r + 4. Let o be d(7). Solve j*q - q = -o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 8 = 3*g + 5, -3*g - 5*t = -22 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03017 + -0.86983. What is the nearest to 1 in q, -4, 0.4, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 85 = 2*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-2 - 165\/10). Let o = l - -43. What is the lowest common multiple of o and 69?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75315 + -376576\/5. Let r = -0.7 + 1. Let t = 0.7 + r. Which is the nearest to y? (a) -4 (b) -1\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 780 - 2469. Is ((-6)\/(-4))\/(-2 + f\/(-540)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2724598 years?\nAnswer: 0.02724598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/141892 and 9\/38?\nAnswer: 141892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -2, 3, -3\/11378, 0.4, 0?\nAnswer: -3\/11378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/9906 and 77\/3302.\nAnswer: 9906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**0\/r*r)\/(r*r*r**1))\/(r**1*r\/(r\/(r*r\/(r**2\/r)))) assuming r is positive.\nAnswer: r**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 22083.23 millennia?\nAnswer: 2208323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**4*x + 246*m**2*x + 125430*x wrt m.\nAnswer: 12*m**3*x + 492*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-231))\/((-154)\/(-98)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*m - 56*m - 50*m in the form l*m + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-2 - 2)) + (2 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169550 = h - z, -h - z = -98209 - 71327. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -4, 3 in ascending order.\nAnswer: -54, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by -3.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - s = -51 + 226, 86 = p + s. What is the highest common divisor of p and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25131528?\nAnswer: 2, 3, 19, 18371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 527.3906ns to microseconds.\nAnswer: 0.5273906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4726 is divided by 2185?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -290.14.\nAnswer: 3771.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28038.8513 rounded to the nearest one hundred?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*x - 11*x - 19*x)*(x + 0*x - 2*x + (2*x - 2*x - 2*x)*(1 + 2 - 1) + 1 - 1 + 2*x) in the form n*x**2 + c + j*x and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 64*c + 40 + 55*c - 185*c + 63*c. Calculate the remainder when 180 is divided by u(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*w**3 + 4467*w**2 + 9610*w.\nAnswer: -18*w + 8934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 578\/(-153) + (-4)\/(-1)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3806189 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 n when three letters picked without replacement from {h: 2, w: 1, z: 3, n: 4, y: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 10*f**2 + 11*f + 12. Let p be m(9). Calculate the remainder when 5 is divided by 40\/p*1*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2627 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x**4 + 665255*x**3 - 10*x**2 - 665255*x = 0 for x.\nAnswer: -133051\/2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - o**3 + o**2 - 2*o)*(-17*o + 6*o + 2*o)*(15*o - 10*o - 11*o).\nAnswer: -54*o**5 - 108*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from oqqaoavaoa.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 127*g**2 + 1526*g + 179060. Calculate p(-128).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1176.3 (b) -4 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29292 take away 188.7?\nAnswer: 29103.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than 21\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - k + 45. What is the remainder when 69 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27459 and 231537.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.219 and 76186728?\nAnswer: 76186727.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -520*x. Let q(u) = -4*u. What is d(q(a))?\nAnswer: 2080*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0405 - 117.5405. Let z = m - -117. Suppose 2*i - 5 = -2*i - 5*j, 3*i + 3*j = 3. Which is the nearest to 1? (a) z (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.144 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 7*b**5\/9 + b**4\/9 - 7*b**3\/3 + 11*b**2\/9 + 2*b\/9 = 0.\nAnswer: -2, -1\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -942*w - 24023 = 25735 + 21239 + 2479 for w.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtti when four letters picked without replacement from iopiqpqttttupqi.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*((-252)\/8 + -2). Let b = m - -222. Solve 2*p + 14 = 5*d, p = -3*d - 2*p + b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c*z**5 - 4*c*z**2 + 7*c*z + 3*c + 11*z**6 + z**3 wrt z.\nAnswer: 300*c*z**2 + 1320*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4640, -7472, -10354, -13310, -16364, -19540, -22862, -26354?\nAnswer: -30040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -41663 (base 12) in base 3?\nAnswer: -11100102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 420\/(-20)*23\/(-69)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 223574.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46578 by 6.\nAnswer: 7763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 7*g + 2. Determine u(4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 298435571*m**3 - 188687605*m**2?\nAnswer: 1790613426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y - 30. What are the prime factors of h(19)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/205 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2795 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8717*z**2 + 2903*z**2 + 2889*z**2 + 2924*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4\/8 + k**3\/2 - 1729*k**2\/8 + 575*k\/4 = 0 for k.\nAnswer: -25, 0, 2\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 - -3 - -1 - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122651627 + 18765481069\/153. Let v = n - -1424. Is 0 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvv when three letters picked without replacement from rrorrvpxrvrrrp.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30378534*x**2 - 6784198 with respect to x.\nAnswer: 60757068*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 - 4*x - 3. Let c be q(-5). Let v(f) = 2366*f - 20. Let b be v(1). Suppose -65*d = -48*d - b. What is the greatest common factor of c and d?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 357.404 to the nearest integer.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 76, 139, 206, 283, 376, 491?\n\"Answer: s**3 - 4*s**2 + 68*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 147*w**5 - 170*w**2.\nAnswer: 8820*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 2 + (15 - (-2919 + 6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 178 + 182 = 0. Solve j*x = -0*x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**2 + 28044*n - 28040 = 0 for n.\nAnswer: 1, 7010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2368644 and 10928?\nAnswer: 9474576","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {u: 1, p: 6, v: 10}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 14, e: 1}. What is prob of sequence cce?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -643 = -178*k + 108 + 1207 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/4)\/((-12)\/16). What is the first derivative of p**2 + g*p**2 - 7 - 1 wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -1 + 5. Suppose -2*k - 6 = -d + 2*d, 8 = -4*d - z*k. Suppose -d*b = -25 - 11. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/((-288)\/(-1920))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93.4 greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/290 - ((819\/52)\/(-21))\/(5\/(-716))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.09 - 2.49. Let f be (-4)\/(-8) + (-18)\/(-4). Let l be -3 + 2 - f\/(-7). Which is the closest to l? (a) 1\/3 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26027 - -6202. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/90 + 308*u**4\/9 - 379456*u**3\/9 + 2*u**2 + 1634*u. Determine s, given that t(s) = 0.\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-2 + -2)*1*22. What is the derivative of -4*a**3 - c - 5*a**3 + 18 - 10 wrt a?\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48276 (base 9) in base 3?\nAnswer: 1122022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 65 = 115. Is y greater than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*a - 6075 = -283*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 620726 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by -1238.\nAnswer: 41\/1238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k - 3. Suppose -3*a - 4*d = -a - 8, 5*d - 40 = 5*a. Let t be (a - -1)\/((-3)\/(-4)). Which is bigger: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/495)\/((-68)\/(-102))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6772 + -2601. What is the greatest common factor of s and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q - 11*q + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 5:44 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 2.9, 7, -2\/7, 2, 2\/7, -1229?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 3 - 4 + 4 + 24*r.\nAnswer: 25*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:38 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p - 4. Let w(n) = 28*n + 19. Let v(x) = -11*i(x) - 2*w(x). What is v(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-22)\/(-11)))\/(78\/208).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115538366?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 + 2.04. Let g = 17 + -13. Which is the second biggest value? (a) w (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Calculate ((-20)\/26)\/(1206\/7839).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341170433 is divided by 1166.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, 2\/9, -1170670?\nAnswer: -1170670","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 2. Let i(u) = -1. Let h(n) = -1. Let g(m) = 5*h(m) - 6*i(m). Determine 3*b(t) + 6*g(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 55\/4783 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y. Let t(v) = -12992*v - 9. Give a(t(i)).\nAnswer: -116928*i - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 12 + -8 + -20 - -52.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/21 - (-581823)\/(-567). Which is smaller: -1026 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10 + 5\/(200\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 101462259?\nAnswer: -101462258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 212.9\nAnswer: -851.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 106733 equal to 2\/165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1622 and 139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*q*s**2 + 270*d**2*q*s - 172*q*s**2 wrt s?\nAnswer: -2*d**2*q - 344*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, x: 9, a: 1}. What is prob of sequence ixx?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2 + 3414*v - 76076 = 0. What is v?\nAnswer: -1729, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.03 times 227?\nAnswer: 233.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 + -1 + (0 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = y + 8, -y = 2*y - 5*d + 19. Differentiate 3*r**y + 2 - 1 - r**2 with respect to r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-83 - -4)\/(-2 + 3). Let p = -8 - o. Suppose p = 3*c - 10. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 11585*q**2 - 23155*q + 11575.\nAnswer: -5*(q - 2315)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*k + 335 = -81*k - 209 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 1\/2*f**3 + 3*f + 0*f**2 + 0. Let q(k) be the second derivative of -k**4\/6 - k - 19. Give a(q(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (468\/(-15))\/(2 - 33\/15). Let c be (7\/(-3))\/((-52)\/r). Solve 8*y + 1 = c*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 13 - (-11 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8182.834ng?\nAnswer: 0.000000008182834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1396944537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 2*n + c + 8, -5*c + 28 = -2*n + 29 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 - 2)*(3*m - 97*m + 40*m).\nAnswer: -432*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-4 + (2 + -5 - 4))) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 2:06 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(25))\/sqrt(5) - (sqrt(10)\/(sqrt(2) + sqrt(2)*-2))**2) + 1 + 2 + -2.\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a + a - 2*a)*(a**2 + 1 - 1) + 35*a + 52*a**3 - 35*a as p*a**3 + t*a**2 + k*a + m and give p.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 3.5, -2 in increasing order.\nAnswer: -2, 0.6, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452573 + 541854 = 703*q for q.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*h**5 + 5180952*h**4 - 13321656*h**3 + 6343584*h**2 - 845808*h = 0 for h.\nAnswer: 0, 2\/7, 2, 35242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 422 - 240. Let b be (52\/o)\/(2*2\/56). Solve -y + 13 = 5*l, 13 = -b*y - y + l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t - 12 = 0. Let a = 12 + t. Differentiate 10 - 1 + 1 + a*s**3 wrt s.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/15)\/((-3)\/(-27)*3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 27*a - 24*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 3) to base 15\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 21*d - 11. Let s(a) = a**2 - 11*a + 6. Let o(c) = 7*s(c) + 4*w(c). Let j(p) = p**2 + 14*p + 38. Let u be j(-11). What is o(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -856 - 1704. What is the highest common divisor of 80 and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + j = -36. Differentiate j*c - 33*c + 7 + 5 with respect to c.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*v**2 - 23100*v - 16*v**2 + 3*v**4 - 6 + 13*v**3 + 23098*v as q*v**2 + m*v**4 + c + h*v + l*v**3 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00231 - 18441.1216?\nAnswer: -18441.11929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + k**3 + 3*k**3 + 35*k**2 + 0*k**3.\nAnswer: 2*k**3 + 35*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + -2 + 0 + sqrt(275) + 4))**2.\nAnswer: 20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - 1.6. Suppose -6*m + 13*m = 35. Let x = 108 - 108.3. Which is the second biggest value? (a) n (b) m (c) x (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4935 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 101?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/36 - ((-160)\/9 + 2). Suppose 0 = 11*i - 6 - u. Suppose 5*v - i*z = 24, 4*v + v = -5*z + 10. Solve 3*c + v*y = -13, -5*y + 1 = 21 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1066, 3\/4, 2\/9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 463551 and 726.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 3*c - 9*c**2 + 3*c + 0*c + c**3 + 13. Let y be b(8). Let h(s) = -3*s + 4. Determine h(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/4*(-232580)\/(-18045)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18812165 times 0.5?\nAnswer: -0.094060825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17250, 17236, 17200, 17130, 17014, 16840, 16596, 16270?\nAnswer: 15850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.305 + -0.205. What is the second biggest value in w, -0.8, 5, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((5 - 0) + 1) - 4 - -12 - 85.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 12, 32, 70, 132, 224?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502624 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 21884\/22017?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millisecond in microseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 553822547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 520 (base 6) to base 12\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 9. Suppose j*z = -z + 25. Suppose p + 2*k + z = 6*p, -4*p + 3*k + 11 = 0. Is p > -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*b + 5 = 0. Let n = 33 - b. Let t = -20 + n. What is the lowest common multiple of t and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14739667.\nAnswer: 1499, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 716345 and 23625.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 3)*((0 + 0 + 2)*(5 - 4 + 0) + 5 - 2 - 4)*((n + 1 - 1)*(2*n**2 - n**2 + 0*n**2)*(1 + 3*n - 1) + (-2*n**4 - n**4 - 2*n**4)*(-7 + 4 + 0)).\nAnswer: 108*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2375 + -1408. Suppose -17*i + 6887 = -o. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92676282 and 66.\nAnswer: 1019439102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 4*a + 3 - 6, -5*y = -5*a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 253454 a multiple of 353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -7 (b) 3\/2 (c) 25\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 114*w**2 - 331*w + 226. What is k(-111)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 10:24 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120.98 - -121.9649. Round h to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 7*n**2 + 5*n - 1. Determine p(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**3\/2 - a - 2. Let p(b) be the first derivative of o(b). Suppose 81*k = 61*k + 80. Determine p(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 718800 to the nearest 10000.\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((65\/10)\/(3\/(-6)))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-6))\/((-44)\/66))\/((-1)\/(-6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/(-430) - 2\/((-40)\/38)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 664451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (89 - -2)*(5 - 4). Suppose f + 0*f = i. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/85*1821\/(-9). Let i = r - 8831\/204. Let h = 53875\/6 - 9004. Find the common denominator of i and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuunundunnuduudnu. Give prob of sequence uuu.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 - v**2 - 2*v - 36. Let h(q) = -2*q**3 + q + 19. Give 3*g(p) + 5*h(p).\nAnswer: -4*p**3 - 3*p**2 - p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.2. Let a(u) = 2*u**3 - 22*u**2 + 18*u + 21. Let s = -916 + 926. Let v be a(s). What is the second biggest value in -7, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1687 - 478. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 3*j - 6, -5*v + 2*j + 34 = 0. Calculate the common denominator of (-15)\/(0 + (-8)\/(-3)) and (-3)\/(-9) - 93\/v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d - 2. Let j be z(1). Factor -4*g**2 + 2*g + 4*g**2 - 4*g**j + 2*g**3.\nAnswer: 2*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 679052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1253*y**4 + 41*y**3 + 186592*y**2.\nAnswer: 30072*y + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 4*s - 13*s in the form m + y*s and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (54\/135 + (-23)\/20)\/((-18)\/48). Let l(z) = 10*z + 12. Calculate l(v).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**3 - k**2 - k + 1. Let g be m(1). Let p = 4.9063 - -0.0937. Which is the closest to 2\/5? (a) g (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 5*h - 3. Let p be n(4). Suppose 2*j = 6*j - 96. Let m be (-10)\/35 + j\/(-14). Which is the nearest to 1? (a) p (b) m (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5\/3 - 52*g**4\/3 + 32*g**3.\nAnswer: 2*g**3*(g - 24)*(g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**4 - 3*z + z - 6 + 2*z**4 + 2*z**2 - 6*z**4 - 2*z**3 in the form y*z + b*z**2 + u*z**4 + j*z**3 + w and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/(((-8)\/(-120))\/((-4)\/(-12)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/4)\/((-2688)\/(-13824)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = 0, 0 = g + 4*w - 14. Let j be (3\/g)\/((-3)\/(-4)). Which is bigger: j or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) + (-65)\/(-25). Let d be 1 - 1\/(-1)*2. Suppose d*f + 12 = 4*f. Solve -4*y = -n + 16, -n - l*y - f + 0 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*v = 12633 - 5131 + 12449 for v.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 1. Suppose -27 = -3*t - l. Let k = t + -4. What is the remainder when 11 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065831 + -2922359993?\nAnswer: -2922359992.934169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1379 and 931.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34 (b) -7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 243129249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3ce8 + 0?\nAnswer: 3ce8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 4*v + 18. What are the prime factors of (-2 + (-176)\/12)\/(3\/v)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44691 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeezjzfezeej. What is prob of picking 2 j and 1 z?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -172*w - 30316. Give z(-177).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/5 - 12404*n**3\/5 - 1584072*n**2\/5 - 66827376*n\/5 - 937657728\/5.\nAnswer: 2*(n - 6328)*(n + 42)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 22. Let a be 255 - ((3 - 0) + -6)\/m. Suppose 12*f - 8*f - a = 0. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 + 58 + 2*p - 123 + 5*p**2 to the form q*p + w + x*p**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11155 - -11154. Which is the second smallest value? (a) -2 (b) m (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hth when three letters picked without replacement from hhgttgghgem?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225 by 27638.\nAnswer: -225\/27638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 3*g + 90 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12b8 (base 16) to base 8.\nAnswer: 11270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2056, -2054, -2052, -2050, -2048?\n\"Answer: 2*g - 2058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2. Suppose 17*a = 9*a + 64. Let p(o) = 6*o - a*o - 5*o. What is q(p(k))?\nAnswer: -49*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 132 (c) -1 (d) 2 (e) -2\/7 (f) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 1. Let y(o) = -2*o + 2. Let b be 8\/6*30\/(-4). Let k be (-2)\/b - (-16)\/(-5) - 1. Calculate k*v(j) - 3*y(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a2 - 18?\nAnswer: -1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94537873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.6 + 2.88. Let w = v - -1.4. Let y = -0.3258 - w. Round y to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 6:08 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -15*o + 1. Let j(f) = 620*f - 8. What is -5*h(m) - j(m)?\nAnswer: -545*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 3*l - l)*(-2 - 33120*l + 32975*l + 2).\nAnswer: -145*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*s, j + 3*s - 16 = -3. Suppose j*f + q - 20 = 3*q, 0 = f - q - 6. Suppose -4*g = 36, 3*r - 13 = 5*g + 38. Put f, 0, 3, r in descending order.\nAnswer: f, 3, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {p: 6, g: 7, f: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 204043 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10080 divided by -2517\nAnswer: 3360\/839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8232*v + 2*n + 3*n - 38 = 4115*v + 4118*v, 5*v + 5*n = -40 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12858363 + 5250363. What is a rounded to the nearest one hundred thousand?\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -241*v**2 - 541*v + 4. Let d(w) = -486*w**2 - 1081*w + 7. Let j(u) = -4*d(u) + 7*z(u). Find the second derivative of j(c) wrt c.\nAnswer: 514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + sqrt(153) - (-1 + sqrt(1377))) - (2*sqrt(425) + sqrt(17) - 5*(2 + sqrt(17))**2).\nAnswer: 3*sqrt(17) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24612 to 2 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1629\/362*2\/18\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 1132*z + 25. What is i(0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.56249*-0.1686.\nAnswer: 0.263435814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1025*a**5 + 26560*a**4 + 31040*a**3 - 24130*a**2 - 30015*a - 2430 = 0. What is a?\nAnswer: -1, -18\/205, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 12*y - 26*y. Let j be ((-6)\/(-2))\/((-4)\/(-4)). What is the greatest common divisor of y and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + (2 - -10 - (-28 + 64 + -33)) + -21?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 243452*o + 1 + 238533*o.\nAnswer: -4919*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (2 + (-2 - (4 - 1))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/10 + 55\/((-1925)\/(-3038)). Which is smaller: j or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/(-15)*(-3)\/(-2). Suppose z = 2*r - 4*r + 25, -g = 4*z. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17767574 + -1?\nAnswer: 17767573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 51*f + 1276. Determine b(-15).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.27\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**4 - 3 - 5*v**2 - 5*v**4 + 2 - v**3 + 5*v**4 in the form a + b*v**2 + q*v + n*v**4 + j*v**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + 3\/6*-6. Suppose b*t = -t. Solve -3*n + t*n = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.4078705?\nAnswer: 0.4078705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2135.347 weeks to hours.\nAnswer: 358738.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23312053 - -14?\nAnswer: -23312035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**6\/420 + 2*x**5\/105 + x**4\/84 - 4*x**3\/21 + 3*x**2 + 47. Find n, given that k(n) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**5 + 23*u**3 + 2524*u**2 + 194638*u + 2.\nAnswer: -20*u**3 + 138*u + 5048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-34))**(-6\/7) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p + 6. Let n(k) be the third derivative of 0*k - 1\/24*k**4 - 40*k**2 + 0*k**3 + 0. Give n(o(r)).\nAnswer: -4*r - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033541723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -0.4, -0.07, -0.32, -22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k\/(k*k\/(k*k*k**3*k)))*k*k)\/k)**(3\/32) assuming k is positive.\nAnswer: k**(-3\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1717*f**2 - f + 3. Let h(m) = -3435*m**2 + 2*m - 6. Let p(s) = 2*h(s) + 5*u(s). Is p(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/3 + 5*g**2 + 14*g + 3. Let c = 35 + -24. Calculate the lowest common multiple of 1 and p(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 4. Let a(d) = 4*d - d - 2*d + 2. Determine 13*a(i) + 6*p(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 423, -1, 0 in descending order.\nAnswer: 423, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/4)\/1*4*11\/((-99)\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**2 + 6 + 7*q**5 + 4 - 10 wrt q.\nAnswer: 420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -9 - 10) + (-3 - -3) + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 2567208*p + 71879472.\nAnswer: 3*(p - 855708)*(p - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1854760 or -3709521\/2?\nAnswer: -3709521\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4989 - 4989 - 22085*n - 3377*n as h + x*n and give x.\nAnswer: -25462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*b = -17 - 44, 3*b = -3*i + 63. Suppose -i*f = -22*f + 99. Calculate the remainder when f is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/5 (b) -13977 (c) 4 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 + r**3 - r**2)*(134*r - 1453 - 8645 - 1006 - 5047 - 133*r) to y*r**2 + s*r**3 + m*r**4 + v + h*r and give s.\nAnswer: -16151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1257225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3302387\/1995 + 4966\/3. Let f = s - 3331\/3990. Let t = 0.34 + -0.44. Sort f, t, 0.1 in decreasing order.\nAnswer: 0.1, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*l + 120*l - 58*l + 92*l**2.\nAnswer: 92*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 70 - 32*j.\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1069*n - 1069*n + 22 - 7 + 2139*n.\nAnswer: n + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 11 - 15. Find the common denominator of -1 + (i - 0 - -55)\/(-4) and 40\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000745189628 to five dps.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16485, -16483, -16481?\n\"Answer: 2*w - 16487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 + 27*c**4 + 118*c**3 + 180*c**2 + 88*c.\nAnswer: c*(c + 1)*(c + 2)**2*(c + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eep when three letters picked without replacement from zzmgggegggep?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = h + 81, j - 2*h = 49 - 1. What is the remainder when j is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d + 5 = -3*f, 0 = 5*d - 3*f + 23. Let p = d + 4. Let g = 0.7 + 0.3. Which is the nearest to p? (a) -1\/9 (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 79557.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:59 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.6 (c) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 2:02 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2*w + 4)*((-4*w + 0*w + 2*w)*(6 - 2 - 2) - w + 3 - 3) to a + k*w + d*w**2 and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a7 (base 14) to base 4.\nAnswer: -2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5791*k**2 - 23152*k - 175. Give i(4).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 - 48. Calculate the greatest common factor of w and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5402 is divided by 1757.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52247*o - 55086*o - 164561*o + 385*o**3.\nAnswer: 385*o**3 - 271894*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 840 is divided by 46.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*y - 88*y = -672 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + -6 + (2 - 4) + 348 + -344?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f**2 - 1. Suppose -4 = -2*j - 2*j. Let n = 135 - 127. What is the lowest common multiple of q(j) and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + 0.5. Let x be 0 + (-87)\/24 + 4. Which is the closest to -2? (a) s (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g**3 + 499*g**2 - 34267*g + 158755. Let z(w) = 10*w**3 - 750*w**2 + 51401*w - 238133. Let j(o) = -7*m(o) - 5*z(o). Let j(r) = 0. What is r?\nAnswer: 5, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -359888?\nAnswer: -359883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, 246, 386, 608, 936?\nAnswer: 1394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16882 + 0.4.\nAnswer: 16882.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 0 + 0 - 0) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11620154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 2 - -2)*2\/36?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 12:24 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*z + 2 + z + z + (2 - 5 - 7)*(-1 + 2 + 3*z - z).\nAnswer: -26*z - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -119, -182, -247?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8*y + 8 = 0. Suppose -3 + 4 = i, 5*i + 7 = 2*k. Calculate the lowest common multiple of k and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3323 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**3 + l - l)*((0 - 1 + 3)*(0 - 2 + 4) + 4 - 5 + 2 - 1 - 5 - 2 - 4 + 3 + 5) to i + x*l + z*l**2 + a*l**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65958835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.59126 - 0.19126. Is l >= -2502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -773*h + 1538*h - 140*h**4 - 2 - 35*h**3 - 5*h**2 + 3*h**2 - 770*h + 31*h**3 to the form a*h**3 + x*h**4 + n + v*h**2 + r*h and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 5*z**2 - 7*z - 9. Let n be t(-6). Let b be 1718\/6*n\/77. Let c = 66\/7 + b. Calculate the common denominator of -32 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Let b(h) = 7*h - 6. Let y(z) = -b(z) + 6*o(z). Let f be 19\/7 + 2\/7. Let s be y(f). Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o - 2*o)*(-2*o**2 + o**2 + 5*o**2)*(108 - 108 + 17*o).\nAnswer: -136*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0079781 rounded to five dps?\nAnswer: -0.00798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1493*n**2*t**2 - 26*n**2 - 3*n*t**2 - 860000*n*t - 14283*t**2 wrt t.\nAnswer: 2986*n**2 - 6*n - 28566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -11 - (8 - (18 + (11 - 21)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = -25*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 23 + 7. Let u(h) = -2*h**2 + 3*h. Suppose w - 5 = -3. Let n(v) = 3*v**w + 8*v - 3*v**2 - 6*v**2. Give t*u(l) + 3*n(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5120)\/(-24)*474\/2528.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 112 = 5*b, 7*b - 6*b - 23 = x. Let g be (44\/(-9))\/(b\/(-99)). What is the greatest common divisor of g and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eketddiewtiwwewtiiei. What is prob of sequence it?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Suppose 2*r - 5 = -5*w, 4*w + 2*r = -r - g. Suppose w = n + 5*m - 2*m, 4*n - 2*m + 2 = 0. Which is bigger: n or -2\/17?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 + 0*l**2 + 3*l**2 - 7*l**2 - 4*l**2. Let p(h) = 6*h**2. Give p(k(r)).\nAnswer: 726*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c1d3 - 5?\nAnswer: 2c1ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 1 - 71. Let d be 2\/(-3) + (-44)\/u. Let v(i) = i**2 - 6*i + 2. Determine v(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -177 + 86 + 3*i**2 + 91. Let f be (((-5)\/5)\/(-1))\/(-1). Calculate a(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1959080707*h + 2*h**3 - 1959080707*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 36*n - 19. Let l(h) = 37*h - 20. Let v(a) = -3*l(a) + 2*p(a). Is v(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, a: 2}. Give prob of sequence lla.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5903 and 2.\nAnswer: -11806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 0 + 17\/24*t**4 + 5*t**2 + 0*t**3 + 0*t. Let x(z) be the second derivative of z**3\/3 - z. Determine x(p(a)).\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*f - 10*f**2 - 47*f.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(405))**2*-4 - (sqrt(40) + sqrt(320)\/sqrt(8)*-4)\/sqrt(8).\nAnswer: -1684 - 285*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10121472 a multiple of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + a + 1292. Let u(c) = -2*c**2. Give k(u(i)).\nAnswer: -8*i**4 - 2*i**2 + 1292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2561 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 79\/33? (a) -0.367 (b) -1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1242 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.3 + 6. Let k(r) = -r**3 - 7*r**2 - 10*r + 8. Let f be k(-4). Suppose 5*s + f*s = -4*p + 47, s + 4*p = 19. Sort -5, s, 4, b in descending order.\nAnswer: s, 4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2 = -n - 2*b, 12 = 4*n + 3*b. Suppose 0 = 4*x - 147 + 147. Suppose -y = -x*y - n. Calculate the remainder when 12 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**2\/7 - 2509*i + 211620\/7.\nAnswer: -(i - 12)*(6*i + 17635)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4*(13 - -7 - -8). Which is the third smallest value? (a) 0.02 (b) t (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 83252, 332996, 749236, 1331972?\n\"Answer: 83248*o**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*y + 768, -4*y - 5*c - 1105 = -92. Let f = 387 + y. Suppose 0 = 3*l - l - 3*v - 87, -3*l + 5*v = -f. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -89670857, 4 in ascending order.\nAnswer: -89670857, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**3 - 454*x**2 - 6078*x + 862. Give b(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 13*f + 16. Let g be l(14). Let c = 6 - g. What is the lowest common multiple of 18 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*s + 26*s**2 - 30*s + s + s**2 - s + (1 - 1 + 2*s)*(-s + 4*s - s))*(-4 - 5 + 0).\nAnswer: -279*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -300 - 9?\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-24)*((-30)\/(5\/1))\/1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 93990 + 92?\nAnswer: 93a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10\/7 (b) -106 (c) 0.18 (d) 4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11080 - 3060768589\nAnswer: -3060779669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/((-3)\/((-1314)\/4)). Let x = j + -12. Let h = x - 50. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 14 = -58. Let q be t\/(-27)*78\/(-208). Which is the nearest to 239? (a) q (b) 0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5300467 decades in years?\nAnswer: 5.300467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 10*p - 8*p - 26, 0 = 5*p - 3*a. Suppose -p*u + 756 = -264. What is the greatest common factor of u and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -35 - -87 - (-14 + 24).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -22*s + 15*s + 44 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - -1*(-3 + 3). Suppose -4*p - d = 12. Let q = 5 - 3. Which is the biggest value? (a) q (b) p (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -682169 and -3.55?\nAnswer: 682165.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/5 (b) 3 (c) -2.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 211*y + 1\/3*y**3 - 21*y**2 + 187. What is the derivative of q(w) wrt w?\nAnswer: 2*w - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 58\/8 + (-2)\/8. Let h be 2292\/(-5157) - ((-28)\/(-18))\/7. Which is the second biggest value? (a) 1 (b) -2\/11 (c) h (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhhjjhfhzzhjhhjjzf. Give prob of picking 1 f, 1 j, 1 l, and 1 h.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608 and 359514352.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(0*m + m + m)*(-3*m + 3*m + 2*m**2).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence laes when four letters picked without replacement from qaleseqaaaqa?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*z - 0*j - 34, 4*j + 16 = 0. Let h(u) = -37*u - 107. Is h(z) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 7 (c) 0.4 (d) 3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + -403 - (-6)\/(-2). Let s = -233 - w. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -3*o - 474. List the prime factors of o.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-274)\/(-2) - -8 - 8 is divided by 37?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3037 + -3033. Let f(r) be the first derivative of -4*r**3 - 42*r**2 + 26 - 1\/7*r**p - 196*r. Determine n, given that f(n) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5586688363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + p - 55 = -65, 4*p = 20. Solve -3*y - 3*i = 48 - 51, 3*y - 5*i - v = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/(s\/(s\/((s**(1\/11)\/s*s)\/s))*s))\/(s**(-2\/7))**36 assuming s is positive.\nAnswer: s**(631\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/132 and -75\/568.\nAnswer: 18744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, a: 5, y: 3}. Give prob of picking 2 n and 1 a.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(6\/5)*x*x*x**(2\/31)*(x\/(x**(3\/13)*x))\/x**(9\/4))**(3\/4) assuming x is positive.\nAnswer: x**(43131\/32240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345 (base 11) in base 8?\nAnswer: 3317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 281367 divided by 36?\nAnswer: 31263\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 154.5 and 3.\nAnswer: 463.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/45, -0.07, 1.2, -11 in descending order.\nAnswer: 1.2, -2\/45, -0.07, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 9. Suppose -2*p + 16 = 3*o, -p - t = -4*p + 3*o. Suppose 4*s - 136 = 2*w, s = -s + p*w + 76. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 14*z**2 + 12*z - 6. Let h be w(-14). Let r be ((-145)\/h)\/((-1)\/(-6)). Solve -2*y + u = 1 + r, 4*u - 20 = 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4516278047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 9:07 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Let x be -65*(0 + z + 0). Let d = 121 + x. What is the greatest common divisor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 = p - 8, p = -4*t - 17. Suppose 0 = -3*l + 4 + 29. Suppose 1 = -2*c + h + l, 5*h - 10 = -5*c. Solve 0 = p*n - c*n - 5, 4*o + 3*n = 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1258460480.39 and -721?\nAnswer: 1258461201.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*x**2*z + b**3*x*z + 5*b**3*z + 112541*b**2*x**2*z + b*x - 46*b*z + b + 2*x**2*z wrt x.\nAnswer: 2*b**3*z + 225082*b**2*z + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*f - 5*t, 3*f - t - 32 = -5*t. Solve -12 = f*y, -3*j + 5*y + 6 + 12 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) 0.5 (c) 0.4 (d) 0.0603 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13059831 and 33?\nAnswer: 143658141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/6 - (0 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4*i + 29 + 67, 4*q = 5*i + 91. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.341207 weeks in microseconds?\nAnswer: 5649561993600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*x + 3 - 16*x**2 + 38*x**2 + 14*x + 5*x to c*x + l + n*x**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55, -64, -69, -64, -43, 0, 71?\n\"Answer: x**3 - 4*x**2 - 4*x - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3483.9 - -3484. Do n and -2239 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-8)*(1 - -17). Let l = d + 9. What are the prime factors of (l - -9) + 3 - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42539 and 217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 846.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 9 = 1. Calculate the greatest common divisor of z and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + v - 6 = 0, -5*o + 2*v - 8 + 1 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-15))\/((-2)\/(-6)). Let m be -3 + (98 + 2 - l). What is the highest common factor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 a factor of 12090022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*c + 7223, n = 2*c - 4*c - 1814. What is the hundreds digit of 6\/9 - n\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21, 19, 17, 15, 13, 11?\n\"Answer: -2*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -13*h - 63. Calculate r(5).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.706 - -0.7. Let o = -276 + 273.006. Let a = o + f. What is the nearest to 2\/7 in 3, 0.6, a?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + j = -6, -p + 5*p - 3*j - 8 = 0. Let s be (3\/(-2))\/((-4)\/(-8)). Sort s, 3, p.\nAnswer: s, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 190 and 89903.9?\nAnswer: 89713.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g**2 + 495*g - 8298. Let m be n(13). Suppose -2*j + 3 = -13. Put -2, j, -1, m in descending order.\nAnswer: j, -1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 2*z + 2. Let g = z - -4. Suppose 40 = -w + g*w. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20238 is divided by 6735?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76 + (2 + -3)*4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -11f?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 32\/(-4) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 292 = -2*f, -68 = -p - 5*f + 3*f. Let s be (-2)\/9 + 297360376\/p. Suppose t - x + 2*x = -4129995, t = x - s. Round t to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*sqrt(4320))\/(-2*sqrt(24))*6 - 1*(((-1 + sqrt(720))**2 - sqrt(720))*5 - (sqrt(720) - (sqrt(720) + 0)*-2)**2)).\nAnswer: 216*sqrt(5) + 2870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5961*c*v**3 - 79*c*v - 131*c + 2*v**4 wrt v?\nAnswer: 35766*c*v + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 8*o - 5. Let l be k(7). Suppose -x + 35 = 4*x - 2*q, x = -4*q - 15. Solve 3*z + j - 9 = 0, -z + 3*j - l - x = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3 + 87*g**2 - 498*g + 408 = 0.\nAnswer: -34, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 11*d**2 - 65*d - 367. What is g(-7)?\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 14. Is 10 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 5 - 2)*(-2*r - 2*r + 2 + 27*r).\nAnswer: 253*r + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -117. Let k = z - -147. Suppose -x + 3*x - 130 = -2*p, 3*x - 5*p - k = 0. Calculate the remainder when x is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1197, -179, 849, 1893, 2959, 4053, 5181?\n\"Answer: n**3 - n**2 + 1014*n - 2211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t**2 - 1. Suppose -13*v = -16*v + 12. Suppose 2*i = -2*i + v. What is k(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -16)\/((-62)\/31). Suppose -2*u = -3*k - d, -u + 12 = 2*k + 2*u. Solve 0 = 2*q + 2, 0 = -k*r + r - q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/26, -4, -2581?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 + -58. Suppose -122*q = -166*q + 4488. What is the greatest common divisor of q and a?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128 - -133. Suppose v*c = -4*g + 1280, -6*g = -c - g + 227. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1641 + -2?\nAnswer: -1643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, -2, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -3, -18, -0.2, -2\/25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.0138, 0.2, -0.3, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5117*x - 5. Let y be w(5). Let v(l) = -15*l**3 - l**2 + 17*l + 5. Let p be v(15). Let h = y - p. Round h to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 divided by 83?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4256 and -125\/62776.\nAnswer: 251104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 38052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36218*z**2 + 19*z**4 + 8*z**3 - 36216*z**2 + 136*z**4 to q*z**2 + f*z + s*z**4 + t*z**3 + c and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + u + 29, -11*d + 7*d + 5*u = -33. Suppose 0 = -20*o + d*o + 7553. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110221202012221 + -11?\nAnswer: -110221202020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -75819 divided by -3\nAnswer: 25273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g**3 + 136*g**2 - 1182*g - 12162. Determine m(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43659\/17 - -2569. What is the third smallest value in w, 1.2, -3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15097 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -12*k + 16*k - 153, -4*j + 156 = 4*k. Calculate the remainder when k is divided by (-15)\/10*44\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6886040 divided by -196744\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 502528196 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-1814)\/(-8) + 12\/16. Let c = 227 + b. Sort -0.03, c, 1\/4.\nAnswer: -0.03, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*f**3 - 45*f**3 + 17*f**3)*(-1 + 4 - 2) to the form l + b*f**2 + u*f**3 + x*f and give u.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.012 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -a93687 (base 13) in base 5?\nAnswer: -2004241240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and (8\/(-7))\/(6\/(-21)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + sqrt(5)*-1)**2.\nAnswer: -6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 0.09, -5, -2\/3, 58?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53461?\nAnswer: 193, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(12 + (-1 + -1 - -3)). Let u = x - 1. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 8:32 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4720, -18867, -42452, -75475, -117936?\n\"Answer: -4719*i**2 + 10*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -25. Let a = 25 + y. Suppose -2*t + 67 = -f, -2*t + 5*f + 111 = t. What is the remainder when t is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42, 16, -26, -84, -158, -248?\n\"Answer: -8*o**2 - 2*o + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**4\/4 - d**3 + 3*d**2 + 3*d - 1. Let w be ((-1)\/4)\/(-1) + (-34)\/8. Give s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)*k*k\/k**(-2\/11))**(-2\/95)*((k**(3\/2)\/k)\/(k\/(k*k**(2\/15)*k)))\/(k*k**(-6)*k**(-1\/8)) assuming k is positive.\nAnswer: k**(61967\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -24751.38.\nAnswer: -12375.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/42551 or -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 15 = 5*x + q, -q = -3*x - 17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.5, 4\/6177, -57, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -6. What are the prime factors of 26 + (-3 - i)*-1?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40931 or -180?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2026*((60 - 0) + 29 + -39). Round r to the nearest 1000.\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-3))\/14 - 118\/(-7). Calculate the smallest common multiple of 7\/(-4)*x\/(17\/(-12)) and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-3.5602.\nAnswer: -53.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1933 = w, 3*w - 9246 = 4*m - 3485. List the prime factors of w.\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4 + 1 - 24*k**2 + 64*k**2 - 25*k**2 - 16*k**2. What is s(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7142 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2709.7, -4 in ascending order.\nAnswer: -4, 0.2, 2709.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126 - -130. Let c(z) be the second derivative of -z + 0*z**2 + 0*z**5 + 1\/6*z**6 + 0 + 0*z**3 + 5\/12*z**h. Find the third derivative of c(t) wrt t.\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 258*t + 1286. Let g be b(-5). Sort 201, g, 5 in descending order.\nAnswer: 201, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*m + 20, 0 = -56*k + 61*k - 35. Put -3, -4, 3, 4, m in increasing order.\nAnswer: -4, -3, m, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 7*t - 5. Let d be u(9). Suppose 0 = q - 4*o - 6 - 16, d = -q - 3*o. Solve q*i = i + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 36 - 2*p - 5 + (-5 + 4 - 1)*(p - 3 + 3) + (0*p - 4*p + p)*(-1 + 1 - 2).\nAnswer: 3*p + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3380 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1266 - 1252. Solve 24 = -38*v - w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222888 is divided by 1990.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 10.76. Let h = 0.076 + 0.099. Let d = u - h. Round d to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -268 or -147227?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -15*y**2. Let m(c) = 8*c**2. Determine i(m(n)).\nAnswer: -960*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -773, -787, -801, -815?\n\"Answer: -14*p - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21 from -7173283616532.\nAnswer: -7173283616511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1330 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.93 and -2887?\nAnswer: -17119.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - d + 2627 = 0, 2*y + 4*d = -d + 2615. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -913*y - 11088. What is r(-12)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + 24\/6*-34. What is l rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from itmtttitmm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**5 + 2422*q**3*v - 771*q**2*v + 162245*q*v + q wrt q.\nAnswer: -20*q**3 + 14532*q*v - 1542*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*k - 17 = -93, 0 = w + 4*k - 22. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 - 3*b**2 + 3*b + 1. Suppose -d + 46*l - 44*l = -3, 0 = 5*d - l + 12. What is h(d)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + -4*(-3*sqrt(228) + sqrt(228)) + sqrt(228) + sqrt(228))\/((sqrt(12) - -2*sqrt(48)) + sqrt(12)) - -5*(1*(sqrt(2736) - sqrt(2736)*-2*5))**2.\nAnswer: 11*sqrt(19)\/6 + 1655280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3600240 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5472 - 12*i - 5408 + 16275 - 5395.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(2 - (-20)\/(-15)) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -134, -154, -174, -194, -214?\n\"Answer: -20*a - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38518, -154085, -346702, -616369?\n\"Answer: -38525*l**2 + 8*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000179724 rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 29. Let k be q(-15). Let n be 1*-2*(-1 - -2). Sort 2, k, n in increasing order.\nAnswer: n, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155 + 156 - 15*t - 12*t + 13*t**5 + 46*t**5 wrt t.\nAnswer: 1180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*x - a, 0 = -4*x - 5*a + 38 + 46. Let i = x - 21. Let s(v) = -v**2 - v - 1. Let l be s(0). Sort -3, i, l.\nAnswer: -3, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010 - -101000101100?\nAnswer: 100111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -781*c + 62. Let k be d(-6). Suppose 3*x - 8*y = -9*y + 2846, -5*x - 4*y + k = 0. List the prime factors of x.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5533\/8 + -2883\/8. Let u = n - 327. What is the common denominator of 23\/8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, -2\/7, 3\/5, -2992, 2\/3 in increasing order.\nAnswer: -2992, -2\/7, -0.12, 3\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*(3 + -2*(-3 + sqrt(1573)) + sqrt(1573) + -4*1*sqrt(1573) + sqrt(1573) + 5))**2.\nAnswer: -10296*sqrt(13) + 228033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2026112441 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4975033709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3728 is divided by 844.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3754723663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 485 + -113. Let o = b - 366. Solve -o*s = 10 - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 4. Suppose 0 = -2*m - 1 - 3. Let a = 0.6 + 2.4. Sort i, a, m in ascending order.\nAnswer: i, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 4. Let v = -8 + z. Does 9 divide 11 + v*(-4)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-5))\/((-3)\/12*4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((-181)\/1086).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2556*d + 712*d + 625*d - 936 wrt d.\nAnswer: -1219","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45405, 91156, 136907, 182658, 228409, 274160?\nAnswer: 319911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -5, -1\/5, -1, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101987197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**6*r)\/r)\/r**(4\/9))**(-5) assuming r is positive.\nAnswer: r**(-250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + 2. Does 30 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 44 = 4*p - 0*n, -5*p - 2*n = 34. Let u = p - -37. Let m = u + -37. Let t(b) = b**2 + 7*b - 11. What is t(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 18 - 5 = 0. Suppose 2*c + 2*q - 16 = 0, 0 = -2*c - 3*c + 4*q - 5. Suppose -21 = c*r - 2*r. Which is smaller: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-4)\/(-3)*1\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 343 + -222. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usbuusussusususssssu. What is prob of sequence uu?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2 - 6206*q - 320896. Determine v(-49).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b + 4. Suppose 0 = 5*q + f - 6*f, -f = -3*q + 6. Let m = q + -7. Let a(t) = -1. Let x(c) = m*a(c) - n(c). Let l(h) = h**2. What is x(l(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 60*g - 4. Let h be r(4). Suppose 6*b - 2*b - h = 0. What is the second derivative of -59*i**3 - 5*i**4 + 4*i - 18*i**4 + b*i**3 wrt i?\nAnswer: -276*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -8 (b) -2 (c) 3\/25 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2677659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 1 = 2*x + 3*y, -4 = -x + 4*y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -5, 41.\nAnswer: -5, 41, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 963.499 - 497.4669. Let b = -466 + u. Round b to 3 dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 966 = 5*p - 0*p - m, -m - 772 = -4*p. Let b = p - 15. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 9. Let u = -513 + 533. Solve -k*m + u = -4*c + 2*c, 2*m + 2*c - 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108994*d + 4*f - 80 = -108998*d, -4*d + 48 = -4*f for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*f = -6 - 7, 3*l - 3*f - 3 = 0. Solve -2*s + 0*s + l = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4011229317 a multiple of 2198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*k - 479*k + 3*k**3 - k**3.\nAnswer: 2*k**3 - 276*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/15)\/((-3)\/45*-1). Suppose n*f = 5*j + 5*f - 20, 0 = -f. What is the highest common factor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2116*p**2\/3 + 92*p + 3 = 0.\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by (-9)\/12 - 62\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(6)\/sqrt(3)*-3)**2 - sqrt(2))*-2.\nAnswer: -34 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*b - 225, 205 = -5*b + 6*l - l. Let h = -46 - b. Which is bigger: 1\/44 or h?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -9*q + 4*q. Let c = q - -406. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14757458, 14757452, 14757446, 14757440, 14757434, 14757428?\nAnswer: 14757422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 100 - 2. Let c = 28 - 21. Calculate the greatest common factor of x and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6841 - -10584. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/7 - 6*i**3\/7 - 4*i**2 + 96*i\/7 - 64\/7 = 0. Calculate i.\nAnswer: -4, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -816*x**3 + 22*x**2 - 6*x - 2. Let u(t) = -1631*t**3 + 43*t**2 - 12*t - 5. Let v(m) = 5*j(m) - 2*u(m). Find the third derivative of v(z) wrt z.\nAnswer: -4908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 6 = 0, 10*o + 49 = 3*f + 5*o. Suppose 1 = -3*w + f. Solve -2*t + w*y = -4 - 8, 2*t + 16 = -3*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -116, -969, -3286, -7799, -15240?\n\"Answer: -122*d**3 + d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8557, 17113, 25669?\n\"Answer: 8556*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -12. Let b(o) = o**2 - w + 2 - o + 4*o - 2*o. Determine b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**4 + 18*a**4 + 4*a**4 + (-469 + 469 + 5*a**3)*(0*a + 5*a + a) to the form k*a + y*a**4 + p*a**2 + s*a**3 + q and give y.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12.50824 millilitres?\nAnswer: 0.01250824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -329 + 332. Suppose p*s = 4*b, 12*b = 8*b + 5*s. Solve b = 6*t - 7*t + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.225 + -16.295. Which is smaller: -733 or o?\nAnswer: -733","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 - 2732*g - 203*g**4 + g**2 + 1366*g + 1366*g as o*g + p*g**3 + t*g**2 + r*g**4 + d and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b*p + 2*b - 7*p**3 + p + 19 wrt p?\nAnswer: b - 21*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n - 2*n = -2450 + 3275 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2807 is divided by 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) -8 (c) 2 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.1, -10\/7, 52, -3 in descending order.\nAnswer: 52, 3\/7, 0.1, -10\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*m - 22 = 0, 3*l - 4*m + 7720 = 15322 - 7658 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 62*h**2 - 61*h**2 - 102*h**2 - 30*h**2 + h.\nAnswer: -131*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 536*h + 57737. Determine w(-149).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 272843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 78*q - 121. What is the remainder when p(35) is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(34) - (sqrt(34) - (sqrt(170)\/sqrt(5) + sqrt(34))*-5) - sqrt(34))\/(-1*sqrt(288)).\nAnswer: 11*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 42, 59, 76, 93?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 + 2772?\nAnswer: 2770.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105\/10*20\/30 and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i + 477 - 113 = -28*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 803430822 to the power of 1\/2, to the nearest integer?\nAnswer: 28345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 2. Let w(x) = -x + 5*x + x**2 + 5 + 0*x. Suppose 13 = -21*b + 118. Let u(s) = b*q(s) - 2*w(s). Factor u(n).\nAnswer: -2*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 * 6\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*j + 6, 3*t - 4 = -3*j - 16. Let g(n) = -12*n**2 - n. Let s be g(-1). Does 12 divide t\/s + (-524)\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u + 8. Let f be p(-3). Let n be (-1)\/((7\/(-87))\/f). Let v = 126 + n. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 31*m**2 + 6*m - 4. Is i(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/3 + 57069400*u\/3 - 203557276022500\/3.\nAnswer: -4*(u - 7133675)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 50*v.\nAnswer: -2*v*(v - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 4. Calculate the remainder when 41 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (118915754\/(-3766))\/((-1)\/7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5580)\/(-945) + -5 + -1. Let i = 0.5 + -1. Which is the nearest to -1? (a) h (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-22)))**(23\/3)*v\/(v\/(v**(8\/5)\/v))*v**1 assuming v is positive.\nAnswer: v**(-2506\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*f - 392, 3*l - 811 = -5*f + 185. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 8 - 2. Let o(l) = -8 + 18 + 2*l - 3 - 5 - l**2. Let k be o(x). Let h(u) = 4*u**3 + 6*u - 2. Let i(c) = c**3 + c. What is k*i(s) + h(s)?\nAnswer: -2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 635, 675, 741, 833?\n\"Answer: 13*k**2 + k + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.03966 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 452 = -4*n - 312, -2*o = 2*n - 758. What is the highest common divisor of 38 and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(704)*-1)**2 + -4*(sqrt(99) - (sqrt(99) + (sqrt(99)*-1 - sqrt(99))))\/sqrt(9).\nAnswer: -8*sqrt(11) + 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2670460304 to the power of 1\/4, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*y + y, 5*n - 13 = -y. Let w(r) = -r**3 + 32*r**2 - r + 5. Let u(o) = -o**3 + 37*o**2 - o + 6. Let k(p) = -5*u(p) + 6*w(p). What is k(n)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/90*1\/38*-6?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4996101 >= 4996102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/3 and -43\/19365.\nAnswer: 19365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 3*x = 2, 4*o + 15*x - 6 = 32*x - 16*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 22*t - 3*t. Is t at least -1\/148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23085905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, 362 in descending order.\nAnswer: 362, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -226*k + 1562. Let u be l(7). Let v(b) = b**2 + 18*b + 1. Calculate v(u).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5480 = -185*t + 84290. What is the highest common divisor of 10011 and t?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**2\/2 - t - 1. Suppose -1971*k + 380 = -2161*k. Let o(i) = -3*i**2 + 7*i - 7. What is k*o(y) + 14*c(y)?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2308 + 2323.29. Let x = 16 - o. What is x rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 19\/(-1)*(34 + -40) - 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6435647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*a = 37, 6*a = 2*f + 3*a - 22. Suppose 0 = 10*w + f*w - 1080. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 3*b - b)*(-b + 2*b**2 + b) - b**3 - b**2 + b**2 - 3*b**3 + b**3 - 10*b**3 in the form d*b**2 + q*b**3 + r*b + g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from {z: 1, j: 1, d: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gllg when four letters picked without replacement from {l: 2, g: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 15*n - 11 + 21\/4*n**4 - 11\/3*n**3 - 11\/2*n**2. Let q(z) = -4*z**3 + 2*z**2 + 2*z - 3. Determine -2*j(x) - 11*q(x).\nAnswer: 2*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -191 - 1?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1543, -6151, -13797, -24475, -38179, -54903?\n\"Answer: r**3 - 1525*r**2 - 40*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -433642, -433610, -433578?\n\"Answer: 32*m - 433674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -958087658\/21 + 45613212. Let c = t - -10014. Find the common denominator of -31\/120 and c.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 - 0.3. Let s = x - 0.5. Let a = -1.2 - s. Is a less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.48 (b) 1 (c) 0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545655153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2020*i = 2016*i - 36, 5*k = 5*i + 76280. Is k a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7+-16.57\nAnswer: -17.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 4. Let u be r(-3). Solve u = -m - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 + 4*l**2 + 318*l + 6. Let i(u) = -u**2 - u - 1. Give 6*i(p) + q(p).\nAnswer: 2*p**3 - 2*p**2 + 312*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - 2*sqrt(77)*3)\/(sqrt(704) + (sqrt(704) + (sqrt(704)*-1 - sqrt(704)) - sqrt(704)) + sqrt(704) - sqrt(704)).\nAnswer: 5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -104*h**3 - 851*h**2 + 2*h + 6134.\nAnswer: -312*h**2 - 1702*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 18*q**2 + 3*q + 57. Let d be t(-18). Sort -32, 4, d, 2 in ascending order.\nAnswer: -32, 2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 328bbb3 - 1?\nAnswer: 328bbb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 223146 and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32211111133 (base 4) in base 7?\nAnswer: -44331415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*r + 22, -4*r - r + 5 = -2*h. Suppose 0 = -3*u - 7 - 2, 2*a + h*u = -19. Are -2 and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/33 + (-74)\/(-44)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*(3 - 76\/28). Let v be (-2 + -6)*g\/(-540). Let c = -1687\/270 - v. What is the common denominator of 69\/16 and c?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (136\/12)\/((-1)\/(-3)). Let w = m + -18. What is the highest common factor of 64 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/11)*c)**20\/(c**36\/(c**31*c*c)) assuming c is positive.\nAnswer: c**(147\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-2 - 4 + 5)*(-28*t + 1 - 44*t**2 + 5*t**2 + 3*t**3 + 30*t).\nAnswer: 6*t**3 - 78*t**2 + 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/85044 and -1\/60381240.\nAnswer: 60381240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -17\/12*x**4 + 2*x + 0 + 0*x**2 + 0*x**3. Let t(k) = -k**2. Determine t(g(y)).\nAnswer: -289*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (51 - 52) + -1 + 1 + -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18 + 0 + 16 - 39*d**2 + 11*d**2 with respect to d.\nAnswer: -56*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8642.74 + -8501. Let d = 0.74 - x. Let k = 141.0000091 + d. Round k to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**5\/60 + 3*k**4\/8 - 3*k**3\/2 + 9*k**2. Let h be p(7). Let a = 4 - h. Sort 3, 2, a in ascending order.\nAnswer: a, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 7, q: 6}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -8*g - 21, 0 = -5*x - g - 7. Put 5, 721, x in descending order.\nAnswer: 721, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23\/7, -9, -0.03?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11*l**3 + 4*l**2 - 31*l + 24. What is the hundreds digit of k(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40\/(-30))\/((-4)\/(-6)) - -57. Calculate the highest common divisor of x and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.07, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 + -0.9. Let w = -1 + n. Let f be ((-6)\/(-10))\/((-2)\/10). Which is the smallest value? (a) f (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 - 7*c**3 - 12*c**2 + 4*c + 16.\nAnswer: -(c - 1)*(c + 2)**2*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 2*k - 4042 = -21*b, -3*b + 3034 = 4*k. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74875.\nAnswer: 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 4*v**2 - 55*v - 45. Determine r(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5342752 centuries in years?\nAnswer: 53.42752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 - (7 - -1) - (-13 - 6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -752*q**3 - 189*q**3 + 653*q**3 - 423*q**3.\nAnswer: -711*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-756)\/324)\/(49\/(-6)*(-17)\/(-238))*11\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 + (-35)\/(-98)*-2. Let t be (30 - 33)*l\/9. What is the smallest value in 2, -13, t?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 0*k + 530. Let n be (-3 + 0)\/((-3)\/(-4)). What is the remainder when k is divided by (-5 - -9)*(-27)\/n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 23. Suppose 0 = -x*q + 11*q - 34. What is the remainder when 48 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 3*t**2 + 4*t - 3. Let u be d(-4). Suppose y - 1 = -5. Put y, u, 5 in decreasing order.\nAnswer: 5, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2\/3, 1\/241, 1.5, -3, -5.\nAnswer: -5, -3, -2\/3, -2\/5, 1\/241, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1524 - 130243?\nAnswer: -124315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 2*sqrt(180)*5 - 5*(sqrt(180) - (sqrt(180) - (-1 + sqrt(180)))))**2 + -4 + -5*(sqrt(180) + 1 - sqrt(180)).\nAnswer: 360*sqrt(5) + 6496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**5\/20 - k**4\/2 - 7*k**3\/6 - 5*k**2\/2 - 6*k. Is w(-5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -5*j**4 + 13*j**2 + 0 + 0*j + 7\/3*j**3. Is o(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -5*l**2\/2 - l + 4. What are the prime factors of z(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(245)*-4 - (sqrt(245) + -1 + 3)**2) + -2.\nAnswer: -251 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*a = 3*u + 9, -2*a - 4*u - 14 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 1. Let x(r) = 3*r - 5. Let j(k) = -x(k) + 5*y(k). Let g(f) = 77*f + 112*f - f + 353*f + 12*f - 142*f. Give j(g(w)).\nAnswer: 822*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19435 + -19551 + (23 - 0).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139 - -139. Sort -1\/10, -2\/15, -4.1, t in decreasing order.\nAnswer: t, -1\/10, -2\/15, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-2 - (-7 + 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -624*x**6 - 4552*x**2.\nAnswer: -74880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 29*h**2 + 57*h - 57. Give f(27).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + -4. Let b be h\/(-22)*(-2 - -4). Suppose -2*x + b*x = 171. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)*y**5*y*(y*(y\/(y\/y**(-2\/3))*y)\/y*y*y)**(-4\/3))**2 assuming y is positive.\nAnswer: y**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.887 - 21.153. Let h = l - -0.04. Let n = 27 + h. Which is the nearest to 0? (a) 0.4 (b) n (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1870 and 1.\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8521 - -1.8521. What is the third smallest value in 34\/7, 4, u?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((82\/(-8))\/(17\/((-136)\/6)) + -9)*-1?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125.352 - 58.3876. Let f = -67 + j. Round f to 3 decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126 - 126 - 2*o**2)*(26 + 7*o - 26) - 5*o**2 - 2*o**3 + 5*o**2 + (4 - 2*o - 4)*(0*o**2 + o**2 + 0*o**2).\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/(3\/30). Suppose -4*l + 2*c - p*c + 14412 = 0, 4*c - 18016 = -5*l. What is l rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c9 (base 13) to base 15.\nAnswer: -6b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 236326030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*h - 45 = -82*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:26 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 2*z + 0*z**3 - 1\/2*z**2 + 0 - 1\/5*z**5 + 1\/6*z**4. Let u = 2 - 3. Determine c(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1850, -1719, -1498, -1187, -786?\n\"Answer: 45*h**2 - 4*h - 1891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.2 (b) 0 (c) 1\/5 (d) 0.187 (e) -0.08 (f) -4 (g) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 12:52 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.3 - -0.3. Which is the third smallest value? (a) -0.1 (b) k (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 10 = -g - 2*y, -y = 5. Solve 5*r + 6 = 2*r - 5*l, 3*r + 4*l + 6 = g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2)*2 - ((sqrt(162)*1)**2 + sqrt(162) + sqrt(2))) + (2 + -1 + sqrt(2) + -3)**2.\nAnswer: -160 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0*b**3 - 1\/5*b**6 - 1\/6*b**4 + 1\/21*b**7 + 0*b**2 + 0 - 2*b + 3\/10*b**5. Let n(v) = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3568 and 0.4?\nAnswer: -1427.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilini. Give prob of sequence illi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4005\/25 - 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(88) - sqrt(88)*2)*-6 + sqrt(88))\/((sqrt(64) + 1*sqrt(64))\/sqrt(8)))**2.\nAnswer: 28*sqrt(11) + 603\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 278550202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from ngnnnggggg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d**3 - 83*d**2 + 27*d + 88. Let b(s) = -13*s**3 - 124*s**2 + 40*s + 131. Let w(n) = -5*b(n) + 7*f(n). List the prime factors of w(-19).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42.3 - 41.889. Round o to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, m: 11, s: 5}. Give prob of sequence wsss.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55971 and 346191.\nAnswer: 2073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (12\/20*-1)\/((-3)\/15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.08 (c) 364 (d) 3\/2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122 - -199. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*g = 0, -5*g = -8*m + 9*m + 6. Which is the nearest to -2\/7? (a) m (b) -1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 366. Let t(g) be the second derivative of -g**3\/3 + 2*g - 132. Determine f(t(d)).\nAnswer: 4*d**2 + 366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m + 2*m**2 + 14 - 3*m**2 + 0*m**2. What are the prime factors of l(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112494869?\nAnswer: 112494869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 36*o**2 + 30*o + 73. What is w(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-2 + 6 + 3 + (2 - 7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 - 33. Let r = 67.931 - y. What is r rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/6)*y)**28\/(y**(4\/9)\/y**(1\/6)) assuming y is positive.\nAnswer: y**(583\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -30) + -23 - (19 + 1 + -1)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 13*p**2 - 9*p - 19. What is the units digit of v(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 121?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.672341 millennia in years?\nAnswer: 4672.341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9370032*u - 46850153. Calculate y(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9823*z**2 - 212*z + 9823*z**2 - 42*z**5 wrt z?\nAnswer: -840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((186372\/144)\/167)\/(1\/(-4))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-27) + (-61)\/(-9). Suppose 0*b = -b + 4*w + g, 0 = 5*b - 5*w - 20. Find the second derivative of 4*f - 2*f**2 + 2*f**2 - b*f**5 + 16*f**5 wrt f.\nAnswer: 260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16187 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: Is (5\/5 + (-543)\/6)\/((-26)\/96044) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -663\/523 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((5 - (5 - 3)) + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*v - 9 - 5, -2*v + 13 = 3*q. Let o = 2.7 - 2.83. Let l = 0.27 - o. Which is the nearest to q? (a) -2 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256822.\nAnswer: 2, 128411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**20\/f)*f**7\/f*f**4\/(f\/(f\/(f\/(f**(2\/7)\/f)))*f) assuming f is positive.\nAnswer: f**(-75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oiio when four letters picked without replacement from {i: 5, o: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 4815.\nAnswer: 38520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -3. Let n = 5 + j. Suppose 0 = n*o - 2 - 10. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*c + 38*c = 75*c. Let d(f) be the first derivative of -4\/5*f**5 + 0*f + 22 + c*f**2 - 28\/3*f**3 + 0*f**4. Find the third derivative of d(w) wrt w.\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l, -u + 4*u + 4*l - 12 = 0. Let h(x) = -x**2 - 8*x + 3. Calculate the remainder when h(-7) is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*t = -0 + 10, -5*w + 5 = t. Let h(z) = -z**3 - 34*z**2 - 35*z - 50. Let c be h(-33). Sort -1, w, c in descending order.\nAnswer: c, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/36 + (-3 - 0).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (6 - 12 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6)*213\/142.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 43815*p - 13368888.\nAnswer: 3*(p - 14904)*(p + 299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 17034979990 to the nearest one million.\nAnswer: 17035000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:37 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -1. What is the lowest common multiple of a and ((-9)\/18)\/(3\/(-90))?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17017 - -46?\nAnswer: -16751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-8)\/5)\/((-72)\/180) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -76, -75, -74, -73?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + b = 78358, -4*l = 4*b - 5641 - 98823. Let r = 835771\/32 - l. Calculate the common denominator of r and -67\/20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -15*n**4\/2 + n**2\/2 - 16. List the prime factors of w(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njnnjjnjjnjjcccjc. What is prob of sequence jn?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3298 and -33\/9316.\nAnswer: 903652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43061, -86119, -129171, -172217, -215257, -258291, -301319?\n\"Answer: 3*r**2 - 43067*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**(-15)*(h**(3\/2))**(-36))**34 assuming h is positive.\nAnswer: h**(-816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/16, 3, -0.2, -5, -26.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3723235 (base 10) to base 8\nAnswer: 16147743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7257 and 1779031?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43294, -43298, -43316, -43354, -43418, -43514, -43648?\n\"Answer: -p**3 - p**2 + 6*p - 43298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -0.3. Let s = -6552\/29 + 226. What is the third smallest value in s, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (3\/(-5))\/(-1 - (-40)\/50) and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/20095800 and -13\/60.\nAnswer: 20095800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -0*z - 4*z + 31, 0 = -z + 4*p + 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddeekxdeeddekdmdxe. What is prob of picking 2 e and 2 x?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 41. Let k(a) = -2*a**2 + 9*a + 6. Let d(y) = 2*y**2 - 8*y - 5. Let u(x) = -5*d(x) - 4*k(x). Give u(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1118957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**3*w**5 + 2*v**3 - 1563*v**2*w + 553*v*w**5 wrt w.\nAnswer: -20*v**3*w**3 + 11060*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - 5*i**3 + 3*i**3)*(2 + 1 - 2)*(-i**2 + 2*i**2 + 2*i**2 + (0*i**2 + 3*i**2 - 2*i**2)*(2 - 3 + 3) + 0*i**2 - 7*i**2 - 2*i - 8*i**2).\nAnswer: -10*i**5 - 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*t + 458*t + 488*t + 462*t - 1029*t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 701146*b**3 - 2316842 with respect to b.\nAnswer: 2103438*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 736191.4ml?\nAnswer: 736.1914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5243 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u - 56. What is the units digit of o(36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52308 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m - 6 = 0. Let j be m\/(-9)*(2 + 1). Let d = 9 + -46\/5. Which is bigger: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 - 13*a - 16. Let c(w) = -14*w**2 - 38*w - 50. Let b(s) = -4*c(s) + 11*h(s). Calculate b(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 6*j**2 + 8*j + 11. Let i be t(-7). Suppose -3*g - 5*a = 0, -i*g = -5*g + 3*a. Suppose g = l - 56 + 1. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6) + 1)\/(1\/9). Let u be 652\/12 - (-2)\/v. Suppose 3*j = p - u, j - 2*j = 4*p - 220. What are the prime factors of p?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from dqqffx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/162*(-1406259)\/30. Let p = b - 5210. Calculate the common denominator of 32\/27 and p.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955016 != 955020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 19381226?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**2 - 39*d - 66 = 0.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*3\/(-96)*-12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 - 16 - 8*j + 10*j + 44)*(6*j + 2*j + j)*(6*j - 2*j - 2*j) as q*j**3 + v + a*j**2 + k*j and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*u**2*y**2 - 88*k**3*u + 2*k**2*u**2*y - 2*k**2*u*y**2 + 411*y**2 wrt k?\nAnswer: -12*u**2*y**2 - 528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m + 0*m - m)*(21 + 208 + 119).\nAnswer: 2088*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 0. What is the second derivative of s**5 - 2*s**5 + 2*s**5 + w*s wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52084846063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 15*y**2 - 15*y + 15. Let c be h(14). Let l be (6 + 0\/c)\/((-12)\/(-232)). Calculate the greatest common divisor of l and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 1801 + 1648 = -5*i, -4*y + 4*i - 108 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 964.\nAnswer: -5, -1, 964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/9? (a) 2\/443 (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -68, 2\/3, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Let h = -1 + d. Find the third derivative of 5*u**h + 0*u**2 - 3*u**2 + u**4 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 6*r + 4*v, -2*v = 203*r - 202*r + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = -h + 55. Let u be 222\/h + -3 + (-76)\/(-20). Which is smaller: -1\/2 or u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/13))**24*i*i\/(i\/(i*i\/(i\/i**(-2\/43)))*i)*i*i*i*i**7\/i assuming i is positive.\nAnswer: i**(17948\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 2. Let t be d(4). Suppose -4*o - 3*z = 0, -t*o + 4*o + 4*z + 10 = 0. Suppose o*v + 14192 = 4292. Round v to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 59?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.731298 milligrams to tonnes.\nAnswer: 0.000000001731298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 14) in base 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4335.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*f - b, -4*b + 7 = -5*f + 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2. Let v(i) = 4*i. Let f be v(1). Let o(u) = u + f*u - 4*u. Determine l(o(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63163 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8976607 is divided by 1633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1218*n**3 - 322 + 593 - 271.\nAnswer: 1218*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4657? (a) -0.5 (b) 1\/6 (c) -9\/2 (d) 3 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 62 - 6 = 0. Let v be (-8)\/(-20) + a\/5. Find the common denominator of (-12)\/240*(-625)\/v and 15\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18045 = -343*q + 744*q for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*w - n, -4*w - n + 3*n - 12 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76439 is divided by 90?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78133 is divided by 39026?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13640*t = -13685*t + 1125 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*w = -136*w - 43 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*w + 4*y, 3*w + 2*w + 5*y = 15. Let u = w + 5. Let g = 8 + 4. Calculate the greatest common divisor of g and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 - 15 - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.85 + -4. Let i = -0.55 + 0.7. Let n = i + x. Which is the second smallest value? (a) n (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1627 - 1607. Solve -4*v - 23 = -5*r - 68, -5*v - r + l = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9728, -9727, -9726, -9725, -9724?\n\"Answer: q - 9729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 4:25 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 260.83 + -260.885784. What is w rounded to four dps?\nAnswer: -0.0558","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 24. Which is bigger: p or 11\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**4\/24 + p**3\/2 + p**2. Let l be z(-3). Solve -j + 5*k - 32 = -8, -3*j - 4*k + 4 = l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79000 divided by 500?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 2*s**2 - 2*s**3)*(-1 + 1 + 4*s)*(s + s - s).\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6052)\/1424 - (5\/(-4) + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/((-2*sqrt(60))\/sqrt(6)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 21990340*r - 43980700.\nAnswer: 5*(r - 4398070)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h - 6. Let d(z) = -13*z**3 - 2*z**2 - 3*z - 3. Let f be d(h). Let x = f - 62. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*n - 94*n - 112*n + 323*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 445, 410, 353, 274, 173?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294188402.\nAnswer: 2, 147094201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128443530 is divided by 183229.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 44, 79, 128, 191, 268, 359?\n\"Answer: 7*i**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - -3. Let r = -2.9786 - -25.9496. Let z = q - r. What is z rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttyy when four letters picked without replacement from yttyyiiyv?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 326291.3 decades?\nAnswer: 39154956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12082663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/10 + 16\/40.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-7)*(-7020)\/3159*42\/(-32)*6.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 3084?\nAnswer: 33924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-5)*80\/(-6). Calculate the smallest common multiple of 9\/6*r\/(-2) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42\/29 + 623\/290. What is the common denominator of 97\/140 and v?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25865.\nAnswer: 5, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23.5 - -563.5. Let t = c + -539.557. Let b = t + -0.42. Round b to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**4 - 42*a**3 - 75*a**2 - 36*a = 0.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 50 = 28. Suppose 2*a - 7 = 5*u - 83, 0 = 5*u - a - l. Suppose -13 = -p + u. Calculate the remainder when 112 is divided by p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -442 + 640. What is the smallest common multiple of 99 and f?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*w = -1497 - 2397 - 1020 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -9, 13, 12, -31 in decreasing order.\nAnswer: 25, 13, 12, -9, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*c + 40, 3*c - 16 = 2*i + 4. Let w be (0 + c)\/(-1 + 2). Let a(r) = r**2 - 6*r + 2. Determine a(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-8))\/3 - 31103\/(-76). Suppose 0 = 2*r + 4*d + 143 - q, -4*d + 135 = r. Calculate the remainder when r is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - 11\/33?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -582 divided by -974\nAnswer: 291\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - n - 25313 + 25337, 0 = -5*h + 3*n + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*p + 13*p - 3*p - 9)*(-3*p**2 + 4*p**2 + 3 - 2*p**2) to f + a*p + r*p**3 + l*p**2 and give a.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*r + 2 = 0, 6*m - 5*m - 2 = -r. Let t be -8 - (m + (0 - 1)). What is the smallest common multiple of (-1)\/t + -2 + 357\/18 and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 + 155 = 10*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24915 - 24919. Sort -6, -3, p, 2, 75.\nAnswer: -6, p, -3, 2, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5719, 5713, 5707, 5701, 5695?\nAnswer: 5689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3 + 130*r**2 - 1164*r - 11232 = 0?\nAnswer: -72, -6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14015403.\nAnswer: 3, 519089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2211*t**3 + 2*t**2 + 9*t + 85842 wrt t.\nAnswer: -6633*t**2 + 4*t + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 10:49 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 7\/179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k + 10903. Is n(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faxdxxxfaf. What is prob of sequence xaff?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.016 + 56.016. Let d = u - 53. Let x = 3.032 - d. What is x rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 29*c**2 - 9. Let n(h) = 7*h**2 - 2. Let z(v) = -9*n(v) + 2*u(v). Let k(g) = 6*g. Give z(k(x)).\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8440205 greater than 25320614\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 1. Let f(j) = 4*j. Let u(h) = -f(h) + 5*g(h). Let r be 8\/(-3) + (-6)\/(-9) + 7. Suppose r*a + 9 = -6. Let m(t) = -2. Determine a*u(b) + 8*m(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1239 minus -435.7936548?\nAnswer: -803.2063452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 151366368211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48323*g**5 + 2*g**3 + 51409*g**2 wrt g.\nAnswer: -2899380*g**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6590512 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 5*x**2 + 68*x - 1. Let g be p(-6). Let v be (1\/(((-18)\/(-4))\/9))\/g. Which is the fourth smallest value? (a) v (b) 0.4 (c) 6 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -67, 0.176?\nAnswer: 0.176","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 1937?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -248\/111 - -21\/37. Sort -3, -4, h, 0.53, 2\/13 in increasing order.\nAnswer: -4, -3, h, 2\/13, 0.53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167661 is divided by 2704.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*s - a + 11, 3*s - 2*a - 3 = 0. Let l(p) = -p. Let k(d) = d**2 + 2*d - 1. Let f(c) = k(c) + 4*l(c). Determine f(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9031238 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4417911.87 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152 + -148. Solve 10 = z - n + 3, -l*n = 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/((4515\/(-63))\/(2\/2))?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 2*y - 2. Let a(c) = -35*c**2 + 80*c + 80. Let x(k) = 3*a(k) + 120*p(k). Let i(v) = -v**2. What is i(x(s))?\nAnswer: -225*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 1. Let f be h(-7). Let g(n) = -n**2. Let o(u) = u**2 - 5*u**2 + 8*u**2 + 8*u - 8. Let l(x) = f*g(x) + o(x). Find m such that l(m) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72664 is divided by 71924.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.478007+-15.529685\nAnswer: -16.007692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -17*z - 8. Let v(d) = -9*d - 4. Let b(p) = -6*i(p) + 11*v(p). Give b(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 41*m + 16*m + 9*m + 3*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(1088) - sqrt(136)\/(sqrt(56)\/sqrt(7))))**2.\nAnswer: 28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 95, 236, 505, 944, 1595, 2500?\nAnswer: 3701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 299903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11748.94061 + -11749. Let v = 0.059 + r. Round v to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 24. Let f = y - -28.9. What is the nearest to 1 in 0, f, -0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 j, and 1 q when three letters picked without replacement from {x: 2, b: 4, q: 3, i: 1, a: 4, j: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8396 = -6*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*g + 6 = 0, -y + 2*y - g + 2 = 0. Let d(j) = -2 - 1 + 3 - 13*j + 1. Is 14 a factor of d(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j - 5. Let p(s) = 4 + s - 7 + j*s. Does 5 divide p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5 = -4*f + b, -7 = 5*f - b. Let c be -2 - -1 - (f - 0\/4). Suppose k + 40 = 6*k. Solve -3*q = -k - c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-40))\/(1\/(-30)*(-24)\/12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -764633 (base 10) in base 4?\nAnswer: -2322223121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 180 + -178. Is ((-54)\/(-15) - 4)\/(b\/(-580)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4700856.\nAnswer: 2, 3, 195869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 816\/119 - (-1)\/7. Let n(j) = 6*j**2 + 4*j - 12. Is 5 a factor of n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02962 * 0.2.\nAnswer: -0.005924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14416\/(-64))\/(-53)*4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 999 and 90935.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-6 + 2 - 0). Let s be -1 + -1 + r\/(-1). Let w be 1 - (-4 + 2) - 0\/s. Solve -k = -2*k + w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 48 + 21)*(-3*a**2 - 2*a**3 + 3*a**2).\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1288273049 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3417 - 965 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 3*k = -90. Let n be (-6)\/4 + k\/2 - 4. Solve -2\/15 + 0*m + 2\/15*m**n = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21877480063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3))**(2\/31)*k**(-1\/11)\/k*k**(-2)*k assuming k is positive.\nAnswer: k**(-2161\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 679, 665, 637, 589, 515, 409?\n\"Answer: -u**3 - u**2 - 4*u + 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18009677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 128?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -5 + 3 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeezzzzzceczzzezzezl. What is prob of sequence cc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12706534 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*s - 26*s - 4*s)*(2*s - s - 2*s).\nAnswer: 97*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3391798 is divided by 376866?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10022 - 10?\nAnswer: -10032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = -4*c. Suppose u = -4*u - 20, -3*m = u - c. Suppose -3*t = -6*t + 5*v - 14, 0 = t + 5*v - 22. Sort m, -3, t.\nAnswer: -3, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 2*z + 35. Let i = -27 + z. Let c be 0 + (9 - 8\/i). Solve 4*k - 3 = c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 1070, -5, -3288, 5 in descending order.\nAnswer: 1070, 5, -1, -4, -5, -3288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54) + sqrt(5400)*-2)\/(-3*sqrt(162)*3).\nAnswer: 19*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 23 = -4*g + 119, -3*m = 3*g - 84. Suppose -g = -p + 4. Let j(o) = o - 79 + 42 + p. Let i(v) = -4*v - 5. Calculate -i(c) - 3*j(c).\nAnswer: c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 817800771 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 - 22*n + 156 - 834 + 20*n as k*n + s*n**2 + b and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 3:47 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**2 + 14*q + 41. Let s(b) = b**2 - b + 2. Let d(m) = 5*s(m) - x(m). What is the units digit of d(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 11:32 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -66.2 times 170\nAnswer: -11254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*f + 4, 4*f + 4*g = 6*f + 2. Let a(v) = 9*v + 1. Let n be a(f). Let w = 16 + n. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*k - 7 = -24, o - 4*k - 21 = 0. Let f(i) = 9*i - 7. Suppose 3*u = 10 - 22. Let b(j) = 8*j - 6. Calculate o*b(d) + u*f(d).\nAnswer: 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**5\/30 - 3*m**2 - 7*m. Let k(x) be the first derivative of r(x). Let z(p) = -5*p. Determine k(z(u)).\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -810*t**2 + 2442*t - 3. Calculate y(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-8))\/(2\/8). Suppose 0 = -4*a + 4*r + 12, 5*a = -3*r + 2*r + 21. Put p, -4, a in decreasing order.\nAnswer: a, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.69 + -3.31. Let f = -1259\/3 - -353. Let r = 66 + f. What is the closest to r in -1, n, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 3:24 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 666*k**2*z**4 + 279*k**2*z**2 - k**2*z + 2*k**2 wrt z?\nAnswer: 15984*k**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Let g = -0.06 + 3.06. Which is the closest to -0.1? (a) n (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/25)\/(-3))\/((-8)\/16*4)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:19 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 167731.9797 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 6*g + 36.\nAnswer: -2*(g - 3)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2167115 divided by -4.\nAnswer: -2167115\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(2\/((-10)\/5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8806419043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/36)\/((-37)\/(-111)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 4, w: 2, j: 1, x: 1}. Give prob of picking 1 x and 1 j.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 - 4*r - 2. Let s be x(5). Let c be (1 - -2)*(0 + 1). Solve -w + 8 = -c*z, -s*z = -2*w + 5 + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 + 1 - p**4 - 76*p + 2*p**4 + 75*p to t*p + k + d*p**2 + o*p**4 + a*p**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24455 - 1?\nAnswer: 24454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2224 is divided by 1980?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oohaahowwtooow. What is prob of picking 1 o, 1 a, and 2 h?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2192385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.73, -11.22, 0.2 in descending order.\nAnswer: 2.73, 0.2, -11.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5115932l?\nAnswer: 511.5932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1 - (-22)\/9) + (-3612)\/6966?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177579 and 2943?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 248, 671, 1382, 2387, 3692, 5303, 7226, 9467?\n\"Answer: u**3 + 138*u**2 + 2*u + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 + 7 - (-10 + 2). Solve -s*u = -3*u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -6*n**4 + 3216*n**3\/5 + 30258*n**2\/5 + 8508*n - 9744\/5 = 0.\nAnswer: -7, -2, 1\/5, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15. Suppose -4*c - 124 = -2*o + 70, 5*c - o + 244 = m. What is the tens digit of (-103)\/(-7) + (-14)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 16*g**2 + g - 1. Let c be (6\/9*15\/10)\/1. What is the tens digit of f(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*m + 1)*(m + 3 - 3) + (-2*m**2 + 0*m**2 + m**2)*(2 - 4 - 2) - 48*m + 48*m + 33*m**2 as i*m**2 + s*m + f and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-93 + 145 + -192).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139.39 - 135.39. Which is the closest to 3? (a) 1 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftt when three letters picked without replacement from {f: 6, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-85)\/(-60) - 5. Which is the closest to o? (a) -3 (b) 0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-384)\/36)\/4)\/(-8))\/(6\/(90\/275)).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-7\/6)\/(o\/(o*o**(8\/5)\/o))*o*o*o**(15\/2)\/o*o**(-10) assuming o is positive.\nAnswer: o**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8.4*4.0391\nAnswer: 33.92844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63040987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3.7. What is y rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -320.\nAnswer: -31\/320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -6282000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2*q - 18 = 0, 28 - 34 = -14*d + 11*d - 4*q for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 13 = 5*q - 12*h, h = -5*q - 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b - 4. Let h be q(-7). Let s = -14 - h. Solve 4*u = -2*p - 4, 5*u + 2*p + s = -2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(2 - 2 + j + 0*j - 3*j + 2*j - 5*j + 3*j + 3*j + j + 4*j - 4*j - j - 1 + 1 + (-2*j + 3*j + j)*(-2 - 2 + 3) - 2 - j + 2).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 14) in base 10?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 55*t**2 - 54*t - 11. What are the prime factors of l(6)?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 737 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - q + 13824460. Let c = 17655991 + -9112108. Suppose -2400002 = f - k, 5*f = -k - c - q. Round f to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 7*s + 3. Let h be (-75*10\/15)\/(s\/3). Suppose 0 = -i - n - n + 53, i = -3*n + h. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -242*z**4 - 301.\nAnswer: -968*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -29 (b) 0.1 (c) 28 (d) -5 (e) -3\/4 (f) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4392620 and 3760?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*t**2)*(2*t - 2*t + t**2) + 17*t**4 + 9*t**2 - 9*t**2.\nAnswer: 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/8*(0 + 3). Suppose 25 = 5*g - 5*b, 5*g - 4*b - 23 = w. Solve 0*y - 2*y + g = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125612257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n**2 + 2*n - 5*n + 5*n + 70*n**2.\nAnswer: 57*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + 3 + (sqrt(847) + 3*sqrt(847)*-1 + (-2*-2*sqrt(847) - sqrt(847)) - (sqrt(847) - 4*(sqrt(847)*-1 + sqrt(847)))*2))**2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 4*n + 1. Let h(f) = -3*f**2 - 11*f - 2. Let u(w) = -3*h(w) - 8*v(w). Factor u(k).\nAnswer: (k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {s: 1, l: 1, h: 1, v: 1, t: 2, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*g**2 + 9 - 9)*(2 - 2 - 5*g)*(6*g - 2*g - 2*g) to the form p*g**2 + k*g**3 + o*g**4 + l*g + u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -3) + 2 + 3 - (145 - 140)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 8 = 2*h, -5*s - 5*h + 5 - 60 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42412 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, -4, -226881 in decreasing order.\nAnswer: -4, -82, -226881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -0.03.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 34343 + 2984 = 20061. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 8*i - 5. Let j be y(-8). Let p(z) = -z. Let g(h) be the second derivative of -4*h**2 + 4*h**2 + h**3 + h**2 - h. Calculate j*p(r) - g(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16118.5 - -21690. Round o to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0 (c) -3 (d) -0.261 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:58 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 greater than or equal to -108\/469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25730059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 2*b**2 + 2*b + 1. Let l be r(-3). Suppose 4*k - 3*i + 68 = 0, -72 = l*k - 0*k - 2*i. Let s = k - -32. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 47*a - 64. Let s be j(8). Suppose -3*y - 609 = -4*k, s - 9 = 2*k - 3*y. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2331.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5681*n + n**3 - 5681*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(80))**2 - sqrt(5)) + (sqrt(35)*5)\/sqrt(7) + sqrt(5).\nAnswer: 5*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(128) - sqrt(152)\/(sqrt(16)\/sqrt(2))) + ((-2*sqrt(76) + sqrt(76))*5 - sqrt(76))\/sqrt(4).\nAnswer: -27*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109701278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -181 + 181. Solve z = 4*u - 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 39 = m. Calculate the remainder when m is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**27*w**(-31))**14)**(2\/17) assuming w is positive.\nAnswer: w**(-112\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42 - 1 - (-7)\/7. Let l = 59 - k. Suppose -2*s + 56 = -2*r, s + 1 - l = -3*r. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 5*f**4\/24 - 3*f**2 + 4. Let i(z) be the second derivative of u(z). Let j(g) = -3*g**2. Determine j(i(y)).\nAnswer: -75*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/244623 and -32\/8979?\nAnswer: 10029543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2 - 13508344*k - 22809419702792 = 0. Calculate k.\nAnswer: -3377086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55213359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1272 - 692 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -36794.2, -0.12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 3*s**2 - 4*s + 3. Let m be o(3). Let b = m + -11. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1)\/1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23, 48, 99, 182, 303, 468?\n\"Answer: b**3 + 7*b**2 - 3*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 211*b**4\/24 - b**3\/3 - 69*b**2 + 45*b. Let f(u) = 2*u**2. Give f(j(s)).\nAnswer: 89042*s**2 - 1688*s + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a + 0*a - a + (3 - 1 - 4)*(-156433 + 156433 - 898*a) - 1 - 4*a + 1 as t + b*a and give b.\nAnswer: 1794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*d**2 - 222*d**2 + 900*d**2 - 223*d**2 - 230*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 2 + 12. Suppose 0 = 4*m - 446 + o. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 5*z - 1. Let d be l(-4). Let a be (4\/(-4))\/(3 - (0 - -4)). Let q(b) = b - 6*b - 2*b + 4*b + a - 4. Give q(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -773*s. Let r(o) = -9*o**2. Determine r(b(g)).\nAnswer: -5377761*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**3 - z**2 + z**2)*(z + 3 - 3) + 35*z**3 - 35*z**3 + 15*z**4 in the form a*z**2 + m + i*z**4 + s*z**3 + o*z and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, t: 2, g: 4}. Give prob of sequence grtt.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -15 + 3 - (-32 - (-24 + 25) - 14).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) -4\/249 (c) -697 (d) -7 (e) 2\/5 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 - 4)*(-3*a**2 - 5*a**2 + 4*a**2) + (-3 + 3 + a)*(-2*a + 1 - 1) to n + c*a + x*a**2 and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56.16 - -55.76. What is the fourth smallest value in -1\/5, 0.46, 4, b, -11?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86 (base 12) to base 8.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 11*w**2 - 22*w - 8. Let l be n(8). Determine i, given that 0*i - i**3 - i**3 + l*i**2 + i + i**3 - 8 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2\/4937 (b) 0.04 (c) 3 (d) -4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = -0*p + 830. Let s = -22 + p. Let d = 70 - s. What is the remainder when 31 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/f**(-1))**(-49))**(1\/5) assuming f is positive.\nAnswer: f**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10\/19 + -125\/57. Suppose -7*h + 2*h = 10. Which is greater: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 2*r**2 - 6. Let h(k) = 5*k. Let l(n) = -n. Let g(a) = 4*h(a) + 18*l(a). Calculate g(j(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -7a?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2)*(6 + -8). Suppose -10*h = -9*h + t. Let w = -2 - 0. Which is the second biggest value? (a) w (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9\/68 - -1566\/17. Let w = -86 + v. Factor -w*g**4 - 9\/4*g**5 + 0 - 3\/4*g**2 + 1\/2*g - 21\/4*g**3.\nAnswer: -g*(g + 1)**3*(9*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266.57*-0.2073.\nAnswer: -55.259961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3470 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 - 67. Let n be 1\/(o - (-20)\/(-8)). Which is greater: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3 + 350\/126 + (-1)\/(-45)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {l: 1, q: 5, v: 1, e: 2, b: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*d + 2*h, -27 = -4*d - 8*h + 3*h. Suppose 0 = 4*c - 3*c - d. Let u = c - 0. Solve g = -u*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 6:58 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a decade in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1039, -1, -5.\nAnswer: -1039, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 3799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/62 - -33\/124. Let m be (355\/(-10))\/(2532\/(-417)). Let r = m + 6\/211. Find the common denominator of r and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0*j)\/(j**0*j))**(-46) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -280*l**3 + 10*l**2 + 26*l + 67. What is the thousands digit of n(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 149210564 and 2108.\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.02, -1, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.9 + 11. Let n(a) = -a**2 - 30*a - 132. Let w be n(-24). Suppose w = -4*d + 8. Sort v, d, -5 in decreasing order.\nAnswer: v, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 1354433.\nAnswer: 541773.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 6:04 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800020.\nAnswer: 2, 5, 90001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:51 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -45200000 to the nearest one million.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -790 = -5*h - 5*t, 4*h = 3*t + 1270 - 645. Solve 141 = 4*c + h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2871370?\nAnswer: -2871370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -386185, -1544737, -3475657, -6178945?\nAnswer: -9654601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 17*t**2 + 5. Let f(p) = 8*p**2 + 3. Calculate 3*a(c) - 5*f(c).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*v - 25. Let c(p) = -p + 7. Let y be c(2). Suppose -80 = -y*r + v*z, -56 = -5*r - z - 0*z. Solve -5*b + 2*b = r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/16*1)\/((-4)\/(-48)*-45).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 6*z + 27 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 11. Let j be x\/((-2 - -3) + 0). Suppose -4*d + 24 = -2*d. Solve 5*y = d + j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + g + g = 46, -3*t + g + 31 = 0. Suppose -2*r - 2*r = -t. Suppose r*h - 5*z = 58, h + 1 = z + 17. What is the highest common divisor of 33 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 215.956680495 - -0.043326305. Let a = q + -216. Round a to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 1447*f**6\/120 - 1819*f**3\/6 + 893*f**2 - f. What is the first derivative of g(b) wrt b?\nAnswer: 4341*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xccfkxxrprfxx. Give prob of picking 1 p and 1 k.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0 + 2\/5*k**2 = 0. Calculate k.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3*v - 2693*l**2*v - 2461*l**2 - 324*l + 2*v - 285899 wrt l.\nAnswer: 12*l*v - 5386*v - 4922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbbb when four letters picked without replacement from mbmbmbm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 - u - 2. Let j = 10 - 8. Let i be m(j). What is the highest common divisor of 24 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from raaidiaprapv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/9*(1 + 2). Let t be (-2)\/k + 3730\/28. Let o = t + -134. What is the nearest to o in -2\/11, 3, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1000)*-3*1)\/(((sqrt(48) + sqrt(1200) - sqrt(48))*-4)\/(sqrt(6)*-1*-5)).\nAnswer: 45*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6)*(-2 - 25\/(-10)). What is the nearest to -1 in 5, n, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = g + 2464, 5*f + 6779 + 5553 = -g. Is f < -2467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.26200673 - 0.262. Round i to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**2 + 10*m - 22. Let g be a(4). Suppose 4*i - 323 = -5*b, 8*b - 6*b - 326 = -4*i. What is the greatest common divisor of i and g?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 131 + 86. Let m(s) = -s + 1. Let v(i) = -7*i. Let a(y) = -5*m(y) - v(y). Is a(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 10*x - 6. Let l be o(0). Let y(q) = -150001*q**2 - 14*q - 48. Let k be y(l). What is k rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24*(3\/(-8))\/(18\/(-24)). Suppose v*n + 519000 = -18*n. Round n to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (11 + -3)) + -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2697581 - -2697590.0000025. Let u = -10.9 - -1.9. Let m = u + z. Round m to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -26\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**3\/6 + 3*c**2\/2 - 4*c. Calculate j(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4) + (24 - 16) - (-6 + -66 + 12)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.031?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4120 by -5.\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**3 - 2*u**2 - 2*u + 7. What is the hundreds digit of f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4477 (base 8) in base 3?\nAnswer: -10020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 224279 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 19*d**2 + 117143*d. Let t(f) = -9*f. What is o(t(j))?\nAnswer: 1539*j**2 - 1054287*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.1669 and 102039.04?\nAnswer: 102037.8731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - -3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 62409, 124786, 187163?\n\"Answer: 62377*m + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -230 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 4, u: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 + 3*f**2 + 3*f + 1. Let s be n(-2). Let w be ((-25)\/(-15))\/((-2)\/12). Is w equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*m - 3028 = -12100 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*c = 2*o - 11, 2*c = -2*o + 4. Suppose 0 = -l - 4*b + 317, 3*l + 614 = o*l + 4*b. What is the greatest common factor of l and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2. Let l(a) = -2*a**2 + 3*a - 1. Let i(y) = -l(y) - w(y). Suppose 2*d + 28 - 22 = 0. Let x(s) = -14*s**2 + 8*s - 2. What is d*x(b) - 8*i(b)?\nAnswer: 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**2 - 4*j - 15. Let l(q) = -5*q**2 - 4*q - 15. Let w(b) = 4*f(b) - 5*l(b). What is the hundreds digit of w(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19957 - 19940. Solve -o + 6 = 2*u, 2*o = 12*u - s*u + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8192*s**4 + 13187584*s**3 + 5569007880*s**2 + 207985314026*s + 51648471538 = 0. Calculate s.\nAnswer: -25097\/32, -41, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u**3 - 2*u**2 - u. Let h be g(-1). Suppose -h*p = -0*p + 18. Which is the closest to 1? (a) 0.2 (b) 6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/145 and 7\/2902.\nAnswer: 420790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6390*i - 5976*i + 1503*i + 1638*i - 5655*i + (0*i + 0*i - 2*i)*(-3 + 4 + 1).\nAnswer: -14884*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 294 and 2786.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 351 + -322 + (3 - (0 + 2 - 5))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 + 2*f - 2. Let b be x(2). Suppose b + 4 = 3*m. Solve -2*d - 4 = -m*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.1 + -6.4. What is the closest to -1\/3 in h, 4, -2\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7386704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -841, -2067, -3805, -6067?\nAnswer: -8865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - u**3 - u**2 - 471667*u + 470055*u.\nAnswer: -u**3 - 1612*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5. Let s(x) = x**2 - 3*x**2 - 6 + t*x**2 + x**2 - 10*x. Let h be s(-4). Calculate the greatest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -7?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/13 + 4*y - 50\/13.\nAnswer: -2*(y - 25)*(y - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19, -33, -55, -85, -123, -169?\n\"Answer: -4*f**2 - 2*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2268625711 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 174 + 681*z**4 + 446*z**4 + 465*z**4 + 384*z**4 wrt z.\nAnswer: 7904*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 11*i + 2. Let g(r) = -2*r. Let t(j) = -2*c(j) - 10*g(j). Let q be (12\/(-16))\/(14\/(1344\/(-18))). Let h(z) = -2*z - 3. Give q*h(w) - 3*t(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 10*o + 12. Let r be k(-9). Let l(u) = -u + 3. Let a be l(r). Solve -2\/7*d**3 - 4\/7*d**4 + 0*d - 2\/7*d**5 + 0 + a*d**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1483484, 5933931, 13351344, 23735723?\n\"Answer: 1483483*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 42*j**2 + 58*j + 11442. Give v(-46).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 2, -1, 0, 3 in descending order.\nAnswer: 3, 2, 0, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243396 and 3996?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020697755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -7*q**4\/4 - 7*q**3\/3 - 4*q**2 - 5*q + 42. What is the tens digit of t(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 183 + 69. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 112. What is the tens digit of 6\/(t\/20)*34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1125 or -1?\nAnswer: 1\/1125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*i - 7759752 = -494*i. What are the prime factors of i?\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 1 = m + q, -4*q = -2*m + 4. Suppose -h + m + 3 = 0. Solve -x - h*x - 12 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**5\/30 + 29*v**4\/24 + 12*v**3 - 18*v**2 - 1. What is the units digit of y(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**5 + 6*j**3 + 2*j**2 - 420*j wrt j.\nAnswer: 180*j**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1493, -429 in decreasing order.\nAnswer: 2, -429, -1493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h = -113 - 88 + 21 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(112) + sqrt(7) + sqrt(7))**2 - sqrt(7)) + (-1*sqrt(700))**2*6.\nAnswer: -2*sqrt(7) + 4704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 0.1, 4\/23, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 10 = 3*n, 2*n - 15*t = -16*t - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/12)\/((-6)\/32). Suppose -20 = -6*w + w - 5*l, 2*w + 3*l = x. Solve -2*m + 5 = -5*n - 7, 3*m = -w*n - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.1 - -5. Let h = y - -3.1. Let b = 157 + -160. What is the third biggest value in h, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.85 or -0.0818761?\nAnswer: -0.0818761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -180, 2, -1087, 2\/9, 3 in increasing order.\nAnswer: -1087, -180, 2\/9, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1334 and 71415.\nAnswer: 4142070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -759*k**9\/56 - k**5\/30 - 143*k**4\/24 - 2*k**3\/3 + k**2 + 2*k + 29. Find the third derivative of q(s) wrt s.\nAnswer: -819720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 59?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1507 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160.894 + 157.3. Let n = 3.7 + m. What is n rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 2*z - 18. Let g(y) = 77*y**2 - 8*y - 79. Calculate -g(a) + 4*r(a).\nAnswer: -81*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156 + -151. Solve 2*g + 3*b + 16 = -b, -4*g + 7 = -j*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -93. Let s be ((-9)\/w*5)\/((-2)\/12). Is s bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 25*a**4\/12 + a**3\/6 - 7*a**2\/2 + 6*a. Let j be 5\/(-2)*8\/(-5)*1. Is t(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 5b?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 7) in base 6?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*f + 4, -7 = -3*a - 2*f + 5. Suppose -7*z + 1705 = a*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + r**3 + 3*r**4 + r**3 - 3*r**3 in the form v*r**4 + f + c*r**3 + q*r + x*r**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**3*h*h\/h**(-5\/4)*h*h**(-9)\/h**(1\/5) assuming h is positive.\nAnswer: h**(-39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*(-20)\/(-8))\/1. Suppose -u*s + 4 = -6. Let d = 13 + s. Solve -2*i - i = d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2052, -975, 102, 1179, 2256, 3333?\n\"Answer: 1077*f - 3129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (0 + 2))\/1. Let a = -109 + 115. Suppose 5*s + 2 + 13 = 0. Sort d, s, a in decreasing order.\nAnswer: a, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 1)*5\/4. Suppose -c*k + 2*g = -453, -35 + 229 = 2*k - 4*g. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/52*1560\/240\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58924427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*-3269\nAnswer: -6538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9))**38 assuming s is positive.\nAnswer: s**(-342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 14*h - 33. Let t(c) = -c**2 - 8*c - 2. Let o be t(-9). Let j be k(o). Suppose j*l + 2*l - 60 = 0. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.3 + 21. Sort k, 8\/5, -1.\nAnswer: -1, k, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 616542330 to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 3, n: 6, h: 2}. Give prob of sequence ww.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/14, 403, 1, 1\/6 in increasing order.\nAnswer: -3\/14, 1\/6, 1, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57\/1394555 in -0.2, 5\/2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 39*k**3 + 23285*k**2 + 1183*k - 6569. What is j(-597)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 smaller than 291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 30 = -56*o + 51*o, 45 = -a - 16*o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 12 - -4) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3 - 22351*u**2 - 626416*u - 4386284 = 0.\nAnswer: -14, 22379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -47*p + 1. Let w be m(-5). Let z be 1 + 1 + -4 - (w - 0). Let q = z + 342. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 64, -279584.\nAnswer: -279584, -3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -66 (b) 14 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 10:07 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -744?\nAnswer: -44.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-11)*u\/(u**(5\/4)\/u))**(-10\/3) assuming u is positive.\nAnswer: u**(205\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74422*i - 74422*i + 3*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**4 + 61*t**2 - 2*t - 19. Let i(l) = -5*l**4 - 60*l**2 + l + 20. Let c(d) = 4*i(d) + 3*q(d). What is the second derivative of c(v) wrt v?\nAnswer: 12*v**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 7)*(-2*x + 0 + 0)*(4 - 4 + x)*(-2 - 1 + 4)*(-2*x - 2*x + x).\nAnswer: 42*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 16 = 3*q, a = -3*a - 20. Let p(v) = -3*v**q - 2*v**2 + 7*v**3 + 3*v - 2*v. What is the lowest common multiple of p(1) and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42431 divided by 8158?\nAnswer: -42431\/8158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x**2 - 14*x + 23*x + 3*x**2 - 7*x + 8*x**2 + 80. What is y(0)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 4*o - 81. Suppose 0 = -4*p + 3 + o. Let w(n) = 3*n**2 - 9*n - 6. Does 17 divide w(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6957746 to the power of 1\/2, to the nearest integer?\nAnswer: 2638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**4\/9 + 30472*t**3\/9 - 7631596*t**2\/3 + 505705664*t - 503165184 = 0.\nAnswer: 1, 408, 6801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(363) + 1 + sqrt(363) + -2 - (0 + sqrt(363))*1))**2.\nAnswer: -110*sqrt(3) + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.026 - -0.974. Let a be ((-28)\/(-35) + -1)*-1. What is the closest to a in -4\/5, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*n + 3087 = 9687. What is the least common multiple of 870 and n?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y**3 - 41*y**2 + 108*y - 1. What is the hundreds digit of p(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30.04 - 29. Let a = -1 + b. Which is smaller: a or 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200020201111 (base 3) in base 11?\nAnswer: -225960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*t + 18*t**3 + 68*t**3 - 26*t**3 + 139*t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 4\/10)\/(147\/396165). Let y be 8\/(-14) - h\/3087. Which is the second biggest value? (a) 4 (b) 42\/13 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 13*h**2 - 10*h - 223. What is the remainder when 204 is divided by m(-10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -40\/3*k**3 - 5\/4*k**4 - 50*k - 85\/2*k**2 + 136. Let t(o) = 0. What is o?\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*g**2 - 94*g**2 + 8*g - 10*g)*(g**2 - 3*g**2 - 4*g**2).\nAnswer: -102*g**4 + 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, 49, 256, 661, 1330, 2329, 3724, 5581?\n\"Answer: 11*o**3 - 2*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120825926 to the nearest integer?\nAnswer: 10992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + -0.22. Let k = 10.75 + l. Let p = k - 11. What is the smallest value in p, 1, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38143 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*o = -144*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6928829 to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71154 divided by 40.\nAnswer: 35577\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18130*p + 8 = -18122*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90 - -120. Suppose 9*j = -j + u. Calculate the greatest common divisor of 9 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/6 - (-136)\/24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*b**3 - 1647 with respect to b.\nAnswer: -174*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, j: 3, b: 5, s: 2, q: 1, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12110212121 (base 3) to base 4.\nAnswer: 122110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -402*y - 1776. Let m(k) = 2007*k + 8884. Let q(f) = -4*m(f) - 22*t(f). Find the first derivative of q(u) wrt u.\nAnswer: 816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/22 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281616?\nAnswer: 2, 3, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2 - 5797*m + 262890 = 0.\nAnswer: -5842, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - (sqrt(78) - sqrt(78)*-1))*-5 - -6*2*sqrt(78))\/(((2*sqrt(198))\/sqrt(11))\/sqrt(3)))**2.\nAnswer: 3757\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - x - 8 = 0, 2*w + 8 = -3*w - 3*x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/4 + -2*2. Let z(q) be the second derivative of -1\/50*q**5 + 0 + 2*q + 1\/10*q**4 + 0*q**k - 2\/15*q**3. What is l in z(l) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 2*m - 15. Let k be a(5). Let y(q) = 7*q - 10*q + k*q + 2*q**2. Let f(r) = -8*r**2 + 13*r. What is 6*f(j) + 26*y(j)?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1420.96 + -1421. Which is the second biggest value? (a) -0.06 (b) 9 (c) m (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 810\/436277?\nAnswer: 810\/436277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32869215*h**2 + 30999634*h wrt h.\nAnswer: 65738430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8026.804 + 8027. Which is the nearest to 0? (a) 2 (b) 0.06 (c) g (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62321767624 - 2*s**2 - 62321767624 + 19*s.\nAnswer: -2*s**2 + 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 + 138. Let g = p - 22. Calculate the greatest common divisor of 144 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 8025 = -5*h, -5*t = -2*t - 2*h - 4790. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(192) + -3)*1.\nAnswer: -3 + sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8755130323.\nAnswer: 8755130323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*x + 13*x**3 + 7*x**3 - 1 - 21*x**3 + 0 to the form s*x + m + i*x**2 + b*x**3 and give s.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.41 + 3.39. Let l = -1.8 + u. Which is the second smallest value? (a) -0.01 (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/13 + -28\/39. What is the nearest to y in -2, -0.2, 2\/115?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 12*k - 943 = -15*k + 5*k for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8875825 and 2975.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 25632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k = 0. Solve -5*p - m = -8, -5*m = -5*p - k*m + 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-45))\/(-4)*(-50)\/(-18).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -706 = -2*f - 2*f + x, 0 = f + 3*x - 170. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 2:19 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 463086.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -507823\/312 - -21084\/13. What is the common denominator of b and 29\/3804?\nAnswer: 7608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(1\/2))**4)**(-1\/17))**(-9))**(-14) assuming p is positive.\nAnswer: p**(-252\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*i*n - 178*i - 58*n + 7 wrt i?\nAnswer: -5*n - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6300 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 754 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-12) - 40\/(-6). Suppose -h + 3*d = j, 2*d = -h + 7*d - 14. What is the smallest common multiple of 1 + (-4 - -1) - -13 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1923 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(4 - 4 - 49)*(-5*x + 3*x + 3*x)*(0 - 4 + 5).\nAnswer: 147*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 - 8*q**2 - 17*q + 13. Let w be t(-7). Suppose 0 = h - 446 + w. What is the least common multiple of h and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59a76 (base 12) to base 4\nAnswer: -131132322","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -7431 + 7637. Is 208 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 4. Let t(v) = v**2 + v + 3. Let d(s) = -3*h(s) - 4*t(s). Let d(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193199213 to the power of 1\/2, to the nearest integer?\nAnswer: 13900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 + 3)*(-j - j + 3*j) + 16 - 3*j - 8 - 10)*(-2*j + 2*j - 5*j**3) to the form x*j**3 + n*j**2 + u*j + r*j**4 + d and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*d**2 - 87564*d + 372659036.\nAnswer: 66*d - 87564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64610341?\nAnswer: 5261, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11142, 11137, 11128, 11115?\n\"Answer: -2*d**2 + d + 11143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2964 is divided by 987?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7\/3, 1, 3, -4\/17, 0?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-5 - -3))\/(-2 + 3). Solve -b*w - 5 = -8*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-315*h - 65 + 130 - 63)*(-6*h + 2*h + 2*h).\nAnswer: 630*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125.00292 + 125. What is t rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 6:31 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -0.07 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**4\/8 - 2*d**3\/3 - 2*d**2. Let r = -48 + 45. Determine x(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1823502*g**2*p**2 + 2205*g*p - 2*g + 8*p**2 - 4 wrt g.\nAnswer: 3647004*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 8) + 7 + (-16 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288683, 577365, 866047, 1154729, 1443411, 1732093?\nAnswer: 2020775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4127 - 10*k - 6*k + 47*k - 9*k - 14*k.\nAnswer: 8*k - 4127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -23, -1, -4, 0, 155 in ascending order.\nAnswer: -54, -23, -4, -1, 0, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-24)\/9)\/(2\/(-87))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*z - 40*z + 1499 = 345*z + 5741 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 51576 divided by -6\nAnswer: -8596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6967365 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 63?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 10*z - 18. What is the tens digit of s(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 33. Suppose 2 = -0*w + z*w. Differentiate -w + v**4 - 4 + 8*v - 8*v wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 f when three letters picked without replacement from {g: 2, f: 3, d: 5, w: 3, o: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3413870064 rounded to 4 dps?\nAnswer: 0.3414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 0*w. Suppose 2*k - 34 = -w*k. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 + 5*k - 206. Let n(d) = -3*d**2 + 3*d - 102. Calculate -5*n(x) + 3*o(x).\nAnswer: -3*x**2 - 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061755404 to the power of 1\/2, to the nearest integer?\nAnswer: 32585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6039, 48468, 163647, 387954, 757767, 1309464?\n\"Answer: 6063*s**3 - 3*s**2 - 3*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(-2*s + s + 2*s) - 4405*s + 16210*s + 3417*s + 11850*s + 368*s + 9482*s.\nAnswer: 36920*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 4*c**2 + 12*c - 1. Let q be u(-6). What is the nearest to q in -2\/3, -2\/5, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16701 divided by -9.\nAnswer: -5567\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70696 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0.8. Let d = z + 0.1. Let p = -1576 + 1581. Sort p, d, 0.02.\nAnswer: 0.02, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.3 - 94.7. Let g = 113 + v. Let j be 3\/(-4) + (-4)\/(-4). Which is the closest to 0.1? (a) g (b) 1\/10 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120575 by 295.\nAnswer: -24115\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((1 - 5) + (5 - 5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uaa when three letters picked without replacement from rauuuraarara?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*w - 37*w + 57070 = 0. Is w < 441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 8*z**2 - 14*z - 9. Let s be n(12). Suppose -4*h - s + 87 = 0. Let f be h\/(-16) - (-1)\/8. Solve 5*b + 10 = f*c, 0 = 2*b - 4*c + 4 + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 18 + 38737*h**2 - 13 - 38740*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.11 - 0.11. Let n = -7.0027 + b. What is n rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.4, -2\/7, 38 in decreasing order.\nAnswer: 38, 0.4, -2\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 253 = -5*f + 73, r - 124*f - 2959 = -44*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 5*n - 10 = 2*c, 0 = c - 2*n - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 13281?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.279104*-0.018\nAnswer: 0.023023872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) -1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 53*t - 1025 + 255 = 6*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 4) in base 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6181.657 seconds?\nAnswer: 6181657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + ((1*sqrt(2299))**2 - sqrt(2299)) + 5.\nAnswer: -11*sqrt(19) + 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0887 * -3.\nAnswer: 0.2661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 16*f**2 - 46*f + 6. Calculate t(-8).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 7. Let r be u(-4). What is the tens digit of (-1)\/r*(0 + -93)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190239?\nAnswer: 3, 7, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-27)\/(-81))\/(4\/87060)?\nAnswer: 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*f**2 - f + 1729 wrt f?\nAnswer: 36*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 3, 1\/24, 0.015, -4, 4 in descending order.\nAnswer: 4, 3, 1\/24, 0.015, -0.08, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 7:23 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -186*b**2 + 4 + 0 + 3*b - 1. Let k be r(-3). Let v be (-1000*180)\/1*k\/(-36). What is v rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + m)*(-2 + 7 - 2)*(-2 + 3 + 0).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1989 + 1989. Let b(c) = c**2 + c + 3. Determine b(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*sqrt(68)*-1 + 0 - ((sqrt(68) + -4 + sqrt(68))*-3 + -3)) + -5)**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96360 by -3.\nAnswer: -32120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-8))\/((-2)\/(-8)). Suppose n*j - j = 7. Let a(w) = w**3 - 8*w**2 + 7*w + 8. Is a(j) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1172 + 2210 - 118 + 735)*(1 + b**4 - 3*b**4 + 1).\nAnswer: -7998*b**4 + 7998","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21604.\nAnswer: 2, 11, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 j when three letters picked without replacement from kmygbmjjk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -623, -2132, -4935, -9680, -17015, -27588, -42047, -61040?\n\"Answer: -108*b**3 + b**2 - 756*b + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 40726 - 330541 = 0. List the prime factors of i.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 22 - 2 = 0. Let j be (0*2\/(-6))\/u. Suppose 5*o = -2*f + 29, j = -5*o + 1 - 6. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 48 + 128 = 0. Suppose -2*p + 3*y + y + 232 = 0, -2*p + 205 = 5*y. Suppose 0*i + 2*i - p = 0. Calculate the highest common factor of t and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + 6*a**2 + 10*a + 5. Let x be f(-1). Solve -4*j + 5 = -x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 6*y - 2*y - 545, 2*y + 3*m = 271. List the prime factors of y.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 9*r + 9. Suppose 0 = -5*k + 1 + r. Let t = 0 - k. Sort 4, 0.4, t.\nAnswer: t, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032168 rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 650304 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5)*(-7)\/(714\/17).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11075 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3744)\/11648*16\/6.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 58a8a (base 14) to base 6\nAnswer: 4344310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 11*a**9\/168 - 5*a**8\/168 + a**6\/120 + 409*a**5\/30 + 2*a**2 + 55*a + 1. What is the third derivative of o(x) wrt x?\nAnswer: 3960*x**3 - 600*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 + 222. What are the prime factors of y?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19.1, -25, 5?\nAnswer: -19.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**30)\/t*t)**22 assuming t is positive.\nAnswer: t**(-638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 7294914?\nAnswer: -14589828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 730, -1\/3, 16, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u = 612 - 612 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, 1431, 3872, 7299, 11718, 17135?\nAnswer: 23556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3378801767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 - 3 - (-18)\/24.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7c28d8 (base 15) to base 16\nAnswer: -5a8366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 1120?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -390 + 354.05. What is w rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 6*x**2 + 8*x - 11. What is w(6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/4)\/((-8)\/96). Suppose -3*u - 18 = -6*u - c, -c = 5*u - w. Calculate the least common multiple of u and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 189*s + 1453. What is d(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24621, 49236, 73851, 98466, 123081?\n\"Answer: 24615*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 0\/(-1 + 0). Suppose l = 2*d - y - 5 - 12, 3*d - y = 23. Solve 3*u + 3 = -d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l + 16. Suppose u + 2*t + 6 = 7, -4*u = -4*t + 8. Let s be w(u). Let n(j) = j**2 - 8*j + 1. What is n(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 278\/(-2502) + (-2)\/5 + (-82)\/(-2520) and -43\/378.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 6 = -5*w + 1, 5*x = 2*w + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/18)\/((-2)\/3). Suppose -i*x - 9 = x. Sort 5, x, -5 in descending order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 + 82. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2231781 - -106?\nAnswer: -2231675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78.167 + -78. Let a = 0.833 + n. Which is smaller: 6.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 9*z = 5*k - 798250, z + 2*k - 133044 = 0. Round z to the nearest 1000.\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66231866*d**2*i*n*p - d**2*n**2*p + 17*d*i*n**2*p + 4*d*i*n*p + 9*d*n**2 + d*n + 5319*i*n*p + 2*i*p wrt d?\nAnswer: -132463732*i*n*p - 2*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49.13 in 4, 2\/3, -2, -3\/77, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15824 * 0.23.\nAnswer: 3639.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2. Let y(b) = -878 - 883 + 684*b**2 + 752*b**2 + 1761. What is y(c(v))?\nAnswer: 5744*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*x + 128862 = 83*x. Is (x\/(-12))\/(9\/36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/3173 + 130065\/44422. Let l = 5\/2572 + -29269\/6430. What is the common denominator of l and u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 416, 449, 482, 515?\n\"Answer: 33*v + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 8) to base 5\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -472*w**4 - 13*w**3\/3 + 65*w**2\/2 - 1449. What is the third derivative of m(q) wrt q?\nAnswer: -11328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(((-39)\/(-52))\/(3\/10)). Suppose -3*h + 5 = -4*h + k*p, -h = -p. Which is the biggest value? (a) h (b) -2\/5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -441.\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 + 10793627 - 10793627.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minus 29.58697037?\nAnswer: -2.58697037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/5 - 314*w**2\/5 - 3366*w\/5 + 803682\/5.\nAnswer: -2*(w - 41)*(w + 99)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5543217 is divided by 64.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*h + 5. Let f be (-9)\/(-3*(-3)\/42). Let u = f - -71. Calculate the remainder when u is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 19 - -8 - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -1\/4, 1\/7, 9, -1\/7, 948?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 20880.\nAnswer: 20880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00405 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 3*j**5\/20 - 29*j**4\/6 - 41*j**3\/6 + 23*j**2\/2 + 1537*j. Calculate q(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.3 - -0.1. Let m = 2 + r. Let b be 2\/(-5)*975\/1365. Put b, -5, m in increasing order.\nAnswer: -5, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08 (b) -1\/3 (c) -0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(390\/4))\/((-4)\/(-18))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 9. Let c be i(-7). Suppose -15 - 17 = -c*x. What is the greatest common factor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 6*t - 6. Let j = 7885 - 7893. What is l(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 136. Let w = -23 + 205. Let u = w + o. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 880*s**2 + 171*s - 170. Give f(1).\nAnswer: 881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3, 3*p + d - 11 = -4*d. Let n be (26\/(-8))\/(0 + p\/(-8)). Suppose i - n = 2. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-2)*(17 - 18) - (-5 + 8). What is the smallest value in o, 1\/17, -38, 0.2?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 175\/100 - (-54)\/(-40). Which is bigger: 0.2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/9)\/(2\/(-2))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -213.9836475 rounded to one decimal place?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 6*x - 1. What is the remainder when 110 is divided by l(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 38*z**2. Let m(p) = 16*p**2 + 62*p**2 - 103*p**2. Determine 5*d(i) + 8*m(i).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*k - 0*f - 37, 3*k + f = 17. What is the second derivative of q**k - 31*q**2 + 6*q**4 + 31*q**2 + 4*q wrt q?\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -197 + 220. Calculate the remainder when 406 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 11 = -1. Suppose -5 - a = -3*k, w - 20 = -4*k. Suppose w = 3*c - 2 - 7. Solve l + 4*l + 21 = 2*b, 5*l + 4*b = -c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -10575071\nAnswer: 52875355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3228 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 + 6*d**3 + 0*d**3)*(2*d**2 + 3*d**2 - 4*d**2) + (-10*d**4 + 18*d**4 + 8*d**4)*(-6*d + 3*d + 4*d).\nAnswer: 22*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19031?\nAnswer: 19031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*l - 258*l - 253*l + 1512*l - 252*l - 254*l - 246*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5768 times -45228\nAnswer: -260875104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*149\nAnswer: 14.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 604 and -10.7701.\nAnswer: 593.2299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o + 12. Suppose -3*z - 153 = -o*z - w, -2*z + 4*w + 88 = 0. Suppose 5*n - z = 5*k, 0*n - 22 = -4*n - 2*k. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-12)\/(-8))*9. Let v be ((-25)\/2)\/((-3)\/q). Let l = v + 25. Solve 2*s = 5*o - 0*s - 5, l = -4*s + 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -386 - 13414?\nAnswer: -1379a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + (-1 + sqrt(1700))**2) + 5 - (2*(-1 + sqrt(1700))*-4*3)**2)*-2.\nAnswer: -23120*sqrt(17) + 1966326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 109114546?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*r = -6341*z + 6343*z + 266, r - z = 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 79*z**2 - 215*z - 78. Is l(-19) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 5, u: 2, m: 4, v: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35711 - 1689 = -h. Round h to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000118214484 to seven dps.\nAnswer: -0.0001182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(5) + sqrt(80)))\/sqrt(2).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jojjjojjjjojfofo. Give prob of picking 2 o and 2 f.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**3 - 137*v**2 - 86*v + 61. What is q(28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8503727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-5)\/(20\/(-4))))\/(152\/760).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*((0*m**2 + 0*m**2 + m**3)*(3*m - m + 0*m) + 0*m**4 + 0*m**4 + m**4).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 117976171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + u**2 + u. Let x be ((-5)\/(-10))\/(1\/2). Let k(b) = -4*b**3 + 5*b**2 + 2*b - 1. Let y(l) = x*k(l) - 2*a(l). Factor y(c).\nAnswer: -(c - 1)**2*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by -2.\nAnswer: 147\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 6*g + 5*g + g in the form i*g + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-81)\/12*(-100)\/75. Suppose 4*h - 13*h = v. Let a(t) = -2*t + 6. Let n(u) = -1. Determine h*a(z) - 4*n(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cocxxcmxcfcfxmxc. What is prob of sequence xf?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 573, -2, 0.017?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2760 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-2) + -2 + -5. Let x(n) = -n + 3. Calculate the remainder when 18 is divided by x(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 10 + 93705*z**2 - 13 - 93724*z**2.\nAnswer: -19*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w. Let l(n) be the first derivative of -4*n**2 - 1\/12*n**4 + 0*n**3 + 2 + 0*n. Let z(b) be the second derivative of l(b). Determine z(y(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3570 and 14.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-56) + (-33)\/(-4). Suppose -5*h - 2*r + 17 = -62, 4*r = m. Suppose -2*d - 5 - 5 = -2*x, 4*x - 5*d - h = 0. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + w - 115, -2*w = -4*w. Put c, -3, -5 in increasing order.\nAnswer: c, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 20*s - 44. Calculate the remainder when 202 is divided by z(14).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385.3368 hours in microseconds?\nAnswer: 1387212480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187 minus -0.35?\nAnswer: -1186.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2847\/176 + 309\/16. Calculate the common denominator of -55\/6 and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4231 - -4981. Calculate the greatest common divisor of v and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2014135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9 - -2.2. Let v = -23\/12 + 9\/4. What is the nearest to 0 in v, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4169833.\nAnswer: 73, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2450))\/(1*sqrt(1210)).\nAnswer: 7*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*g**4 - g**4 - 1 + g - 3*g + 2*g**3 in the form z*g**4 + o*g + y*g**2 + l*g**3 + n and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 9:43 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 21*m + 5 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from bblbloooblbblblj.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n**2 - 32*n - 15. Let f(k) = 2*k**2 + 8*k + 1. Let u(s) = 2*s**2 + 8*s. Let h(a) = -4*f(a) + 3*u(a). Let g(m) = -9*h(m) + 2*x(m). Factor g(j).\nAnswer: 2*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11484 (base 12) to base 2\nAnswer: 101101001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 0.06025\nAnswer: 7.93975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 6:56 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 13168*u - 11838039. Calculate i(899).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 145917.\nAnswer: 437751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -82 and 48863.\nAnswer: -4006766","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, w: 12}. What is prob of picking 3 w?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*k - 1833, 2*a + 5*k + 372 - 1281 = 0. Let o be -18*(12 + 430\/(-30)). What is the highest common divisor of a and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 411 + -409.5. Which is the smallest value? (a) 0.4 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3058.\nAnswer: 2, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 11\/45*j**5 + 56\/9*j**4 + 40\/9*j**3 - 7*j**2 + 0 + 2*j. Determine d, given that k(d) = 0.\nAnswer: -10, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 8*i - 17. Let l be p(8). Let w = l - -60. Let v = -23 + w. Solve 0 = -7*m + 2*m - v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -48*w - 273 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.5 + -48.445. Let q = r + -0.055. Which is smaller: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 0 + 1\/48*x**4 + 0*x + 0*x**3 + 1\/120*x**5 - 14*x**2. Factor a(n).\nAnswer: n*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2602 + 2605. Let u = -0.61 + 0.7. Let f = -2\/51 - 149\/102. What is the second biggest value in f, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15384, -30572, -45772, -60990, -76232, -91504, -106812, -122162?\n\"Answer: -o**3 - 15181*o - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 3, 865, -118, -5 in increasing order.\nAnswer: -118, -5, 2, 3, 5, 865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 41. Suppose n = -0*n + s. Let g(l) = l**2 + 0*l**n - 5*l**2 - 2*l**2. Let h(a) = -2*a**2. What is h(g(x))?\nAnswer: -72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 9:30 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89141.36 millilitres to litres.\nAnswer: 89.14136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {o: 2, r: 3, k: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 8:44 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*g**2 + 2*g**2 + 10*g**2 + 4*g**2 as d*g + n + x*g**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5 = -1. Suppose -a = -c*a + 28. Calculate the remainder when a is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*w + 3 - 1 + 25*w.\nAnswer: -190*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 575 and 4715.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 1. Let o(i) = -8*i + 16. Let v(g) = o(g) + 3*u(g). Let s(m) = 2*m - 2*m - 3 + m. Let c(a) = 18*s(a) + 4*v(a). Calculate c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 105, -236903, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22347 and 468.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7))**(-21)*(p*p*p**0)\/(p*(p**(-1\/3)*p)\/p))**(-13\/3) assuming p is positive.\nAnswer: p**(182\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2. Let p be 4*3*(-6)\/(-8). Let d(x) be the third derivative of 2*x**5\/15 + 4*x**2. Give p*i(f) - 2*d(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, 9, 120, 339, 702, 1245, 2004, 3015?\nAnswer: 4314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -260 in 1\/7, -1, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 2*g - 15, -3*b - 1325*g + 1322*g + 9 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**20)\/s)**42\/(s\/(s\/(s**12*s))*s**(8\/13)) assuming s is positive.\nAnswer: s**(-10551\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1189066121 and 3.\nAnswer: 3.1189066121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25\/412 - -10483\/26780. Calculate the common denominator of g and 12\/(-9)*342\/(-48).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 54 - ((-2)\/(-5) - (-28)\/(-20)). Calculate the greatest common factor of l and 935.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7356, -14715, -22076, -29439, -36804, -44171, -51540?\n\"Answer: -z**2 - 7356*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007147 to four decimal places.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s - 7. Let y be z(-6). Let h(w) = 16*w**2 + w - 3. Let d be h(-2). Let n = y + d. What is the remainder when n is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j + 43. Let h be r(-14). Suppose -4*k + 137 = -23. Suppose 9*p = 4*p - 2*d + 15, -3*p + k = -5*d. Sort 4, p, h in increasing order.\nAnswer: h, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7544667.\nAnswer: 3, 13, 23, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*w - 69 = 0, 17 = 2*c - 5*w - 22. Let v be ((-20)\/25 - -2)*20\/c. Solve -2\/3*o**2 - 2\/9*o**3 + v + 0*o = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 + 3*z**2 + 2*z + 354*z**4 - 175*z**4 - 4*z**2 + 4 + 0 - 181*z**4 in the form n*z**4 + b*z**2 + g + j*z + o*z**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63\/4 + 16. Suppose 5*g - m - 3 = 0, m + 9 = -2*m. Which is the nearest to g? (a) -1\/5 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1\/3)\/q*q))**(3\/7)*((q\/q**0*q)\/q)\/(q*q\/((q\/(q*q**(3\/2)))\/q)*q) assuming q is positive.\nAnswer: q**(-55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-41975)\/75555*(-98 - 1)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1617 times -204.58?\nAnswer: -237.660586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75299617 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-197214\nAnswer: -197214.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70392, -73705, -77028, -80367, -83728, -87117, -90540?\nAnswer: -94003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64131.\nAnswer: 3, 21377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.4 - -0.6. Let a = -9.965 + l. What is a rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q. Let j(l) = -121*l + 24. Let d(y) = -7260*y + 1452. Let n(x) = -2*d(x) + 121*j(x). Give i(n(c)).\nAnswer: 242*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + ((sqrt(242) + (sqrt(242) - (sqrt(242) + 1 + sqrt(242))))**2 - sqrt(14)\/sqrt(63)) + 0).\nAnswer: -15 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 0.49, 23104 in increasing order.\nAnswer: 0.49, 4, 5, 23104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 21*p**2 + 5524 - 20*p - 5524. Let i be f(-20). Let s = -2.2 + -0.8. What is the closest to 0 in i, 1\/4, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (48\/(-8) - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 0, -5061, 11 in decreasing order.\nAnswer: 43, 11, 0, -5061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 1, 4, -3, 0.662, -1.46, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344813507 to the power of 1\/4, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*k + 330, -3*u - 447 = -4*k - 6*u. Suppose -2*i + 23 = p, -4*p + 7*i + k = 4*i. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 43 + 12)*(32*v - 124*v - 8*v) - 3*v + 6*v - v to the form k + u*v and give u.\nAnswer: 4402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*u - 126, 5*u = 2*p + 7*u - 260. What is the highest common factor of p and 12261?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -318.1 - -292. Let r = z - -26.17. What is the third biggest value in r, 2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610*l + 380 = 648*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(1 + (-58)\/55)*(-11 - -16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 6:56 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 31 = 109. What is the remainder when l is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -98, -150, -202, -254?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -1\/6*h**3 + 7*h + 0 + 0*h**2. Let d(k) = 8*k**2. Give d(i(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let v(j) = 911*j**2. Determine a(v(m)).\nAnswer: -911*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1161 * 2.\nAnswer: -2322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 0.3 (c) 0.2 (d) -3 (e) 0.03330301 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 26*j + 58. Let u be l(-1). Let f be (50000\/u)\/(3\/(-102912)). Round f to the nearest one million.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 3776?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 7*j**4\/12 + j**3\/3 - j**2\/2 + j. Let z be c(1). Suppose 5*w + 4*q - 84 = -z, -4*w - q = -52. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -367 + 1100\/3. What is the nearest to f in -1, 0.2, -2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -2944, -5733, -8522, -11311?\nAnswer: -14100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, 1, -616, 0 in decreasing order.\nAnswer: 9, 1, 0, -5, -616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -50 + 21 + 8 + (-2 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = 333 - 4584. Let f = p - -22. What are the prime factors of f?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 953027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30, -44, -68, -102, -146?\n\"Answer: -5*v**2 + v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*55 + (-9)\/((-45)\/10) is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, c: 1, x: 1, p: 2, a: 2, l: 2}. What is prob of sequence xaca?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkjtnwcj. What is prob of sequence jc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145659, -291091, -436523, -581955, -727387?\nAnswer: -872819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16418, -16422, -16428, -16436, -16446, -16458?\n\"Answer: -h**2 - h - 16416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 0.2.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11248020.3657769 + -11248021. Let n = r + 0.6334. What is n rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261 by 5484.\nAnswer: -87\/1828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 54 and 274?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-21) + -3 + (-681)\/(-21). Suppose -v*c + 1000 = -4*c. Solve 3*n + 2*z = -23, -5*z + 5 - c = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1934410280 divided by 6?\nAnswer: -967205140\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(1\/3)))**(-2\/63)\/((g*g*(g*g\/g**(2\/15))\/g*g)\/g*g*g*g**3) assuming g is positive.\nAnswer: g**(-7424\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + 6*s)*(-2*s + 2*s**2 + 2 + 2*s).\nAnswer: 12*s**3 + 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1014125 or 1014120?\nAnswer: 1014125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 19. Solve -t - 8 = 4*p + x, -5*t = -3*p - 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13\/24 - -2\/3. Let v = 35 + -45. Let t = 11 + v. Which is the closest to t? (a) 0.4 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/660 + f**5\/55 - 3*f**4\/44 + 33*f**2. Find r such that t(r) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480.5973us in nanoseconds?\nAnswer: 480597.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45850 or -46673?\nAnswer: -45850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/(-9))\/(2\/30). Suppose 2*u - 5*c + 6 + 9 = 0, -5*c = -5*u. Suppose u*b - 5*t - 110 = 0, 5*t - 5 + a = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 13 = -4*t, -w + 0*w - 3*t + 6 = 0. Let b(j) = 28 - 10*j + 13*j - 9. Let r be b(-5). Solve w*x = 5*x + 4*h - 8, r*h - 10 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iifffiifiii. Give prob of picking 1 f and 2 i.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**9\/108 - k**6\/15 + 32*k**3\/3 - 11. Let u(g) be the third derivative of j(g). What is the third derivative of u(l) wrt l?\nAnswer: -1680*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 3. Let f be o(3). Let j be -1 - 0\/(-2 - f). Let x be (j\/3)\/(5\/(-30)). Solve -x*d + 4*p - 6 = -24, 5*d - 24 = 3*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 1. Let c = -4 - -7. Let t(n) = -27*n**2 + 61*n**2 - 32*n**2 - 1 - 1. Calculate c*t(g) + 5*v(g).\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxixxxxxxxxxxxxxxxx. What is prob of picking 2 x?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) -3\/7 (c) 4\/13 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 307786*x**2 - 96528*x wrt x.\nAnswer: 615572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1451 divide 2072428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 39 = -4. Let x = 1 - g. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490969 is divided by 163648.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 218166 (base 9) in base 8?\nAnswer: 377110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 14 + 0*u**2 - 1\/6*u**4 + 8\/3*u**3 - u. Factor y(r).\nAnswer: -2*r*(r - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 45*r + 579. Calculate n(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 u, and 1 f when four letters picked without replacement from afuafuuaaua.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 + 23*x**2 + 42*x**2 + 36*x**2 to the form h*x + w*x**2 + t and give w.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(4 - (-10)\/(-2)). Let w = -1 + 0.3. Is w equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -18. Let j = 19 + u. Suppose j*g + 44 = 528. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5c8128 (base 16) to base 7\nAnswer: -102346365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -250 + 248 + -12 + 0\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 0*v - 131\/24*v**4 + 9*v**3 - 57*v**2 + 0. What is the derivative of r(w) wrt w?\nAnswer: -131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20987 is divided by 2597?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21 (b) -0.2 (c) -189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 473770386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 5*y + 4. Let r be t(4). Let j be 2\/r + (-7)\/(-4). Suppose 98 + 149 = 3*u + 2*s, -4*u + j*s = -348. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-171)\/228*(-2)\/(-2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -758, -751, -732, -695, -634, -543, -416?\n\"Answer: a**3 - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 + (-24 - 44 - 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/57)\/(1*(-1)\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135163\/12 + -11266. What is the common denominator of 23\/2604 and l?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*f**4*h**2 + 38*f**3*x - f*h**2*x + 2*h + 2194 wrt f.\nAnswer: 444*f**2*h**2 + 228*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffefffbmbfe. Give prob of sequence bem.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06794 less than 1?\nAnswer: 1.06794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 4:39 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, -0.6, 0, 354168\/5.\nAnswer: -0.6, 0, 0.3, 4, 354168\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37579 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1359 divided by 151\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2\/7*k**3 + 10\/7*k**4 - 10\/7*k**2 + 2\/7*k = 0. What is k?\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*(x\/x**6)\/x)*x*x*x*x\/(x**5\/x)*x\/(x**6*x)*x*x**(-5)\/x*x*(x**(2\/19)*x**(4\/5))\/((x**(-2)\/x)\/x**(-1\/9)) assuming x is positive.\nAnswer: x**(-176\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4609*g - 493135. Give j(107).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4333 and 118?\nAnswer: -511294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v. Let z(f) be the second derivative of -23*f**3\/6 + 3*f + 3. Determine h(z(p)).\nAnswer: -207*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 373542006 to the power of 1\/2, to the nearest integer?\nAnswer: 19327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(175))**2 + 5.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 14 = 2. Let b = 145 + -127.5. Let d = -18 + b. Put d, 0.1, p, -7 in descending order.\nAnswer: 0.1, d, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 788*k - 782*k - 33 = 0, -k = 2*o - 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -318081?\nAnswer: -318085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 0*h**4 - 49\/60*h**5 + 0*h + 0 - h**3 - 47*h**2. Differentiate f(o) wrt o.\nAnswer: -98*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2, -7, -110, 1 in increasing order.\nAnswer: -110, -7, -4, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9234 divided by -114?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2. Let f(s) = 21 - 4*s - 8*s - 21. Give f(w(n)).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 52*o**3 + 5 - 6*o - 5466*o**2 - 9*o + 5468*o**2 as q*o**3 + j*o + s*o**2 + c and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3924)\/21 - -7*(-2)\/98. Let x = u - -190. Let j(q) = q**3 + 7*q**2 - 10*q - 11. Let k be j(-8). Solve k*l - 6 = -h, x*l + h - 3*h = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/1323*3*12\/16.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130 + 877. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-40)\/(-60))\/((-4)\/(-18)). Solve 0*l + 15 = 5*l - 2*y, -a*y + 3 = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -42. Suppose 9*n + g = 24. What is the tens digit of n\/(-7) - 2566\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 5, e: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1, 2, -1058?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -977*g**3*j**3*r - 2*g**3*j + 2*g**2*j**2*r - 113*g**2*j**2 wrt j?\nAnswer: -5862*g**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*r - 546*a**3 - 221*a**2*r + 18*a**2 - 18221494*a*r wrt a.\nAnswer: 6*a*r - 3276*a - 442*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**2 + 5*n + 1. Suppose -5 = 4*r + 3*z, 0*r - 3*r = z + 5. Let y be t(r). Calculate the greatest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 4 (c) -1\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20905.65um in millimeters?\nAnswer: 20.90565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 353065 + 1?\nAnswer: 353066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 143536 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**4 - 102*y + 97*y + 0*y**2 + 2*y**2 - 2. Let x(d) = -d**2 + d + 1. Let h(s) = a(s) + 2*x(s). Find the second derivative of h(t) wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75354942 to the nearest integer?\nAnswer: 8681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - y - 57526, 3*y = -2*p + 4647 + 18343. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2380\/(-112))\/((-2)\/488) a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(320))*5 + 1*sqrt(320) + 5)**2.\nAnswer: -1440*sqrt(5) + 11745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011248 to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 - -85. Which is the closest to 2\/5? (a) d (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 24 = -h, 3*j + 16 = h - 8. Calculate the highest common factor of 348 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-8) - (-219)\/(-6). Let h = -9 - t. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1094 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*i**2\/2 + 285*i - 192.\nAnswer: 3*(i + 64)*(3*i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 28 - 86 = -6*q, -19*r - 333 = -5*r + q for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18514, 37453, 56392, 75331?\nAnswer: 94270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -1\/3 (c) -5 (d) -3\/4 (e) 8.5 (f) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.024 - 0.064. Let a = v + -3.96. Suppose 2*b = 3*c - 2*b + 2, 0 = b + 1. What is the closest to c in a, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -154*a + 321. Let r(p) = -52*p + 107. Let v(d) = 6*g(d) - 17*r(d). Let o be v(-8). Calculate the highest common divisor of o and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203381 is divided by 2074?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (35\/385)\/((-2)\/(-11) + 0)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*i - 92518, -27*i - d = -28*i + 23130. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u**2 - 22*u + 3. Let k(a) = 4*a**2 - 11*a + 1. Determine 7*k(z) - 3*y(z).\nAnswer: z**2 - 11*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.033 - -0.033. Let j = 62\/95 + -20\/19. Which is the nearest to 0? (a) -1\/2 (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9393\/380 - -3\/95. What is the common denominator of -9\/28 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/4)*o)**(1\/23)*(o\/(o\/(o\/(o*((o**(-2\/5)*o*o)\/o*o)\/o*o))*o))**(-1))\/((o**0*o**(2\/7)\/o)\/((o\/(o*o**(-1\/3)*o*o))\/o**1)) assuming o is positive.\nAnswer: o**(6991\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yapajppjyyapappny. Give prob of picking 2 p.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7) + 0 + -1.\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10*v = 704. Let o be 1 - (-6 - v\/16). Which is the biggest value? (a) o (b) 0 (c) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 45*h**2 + 46*h**2 + 12 - 3*h - 90*h**2 + 10*h - 4. Let a(v) = v - 4. Let n be a(-3). Let p be d(n). Calculate the highest common divisor of p and 96.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*u - 112 = -235*u. Let l(j) be the third derivative of j**5\/15 - 13*j**4\/24 - 7*j**3\/3 - j**2. Is 25 a factor of l(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2 - 304805*y + 5181974 = 0 for y.\nAnswer: -304822, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 + -8 + ((-2)\/(-2) - -2). Let f be (-120)\/144 - (-2)\/t. Let l be 6 + -3 - -1*2. Which is the closest to f? (a) 2 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let v be (-8)\/12 - (s + -1). Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183058781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 241 + -1204\/5. Let v be 30\/4*2\/50. Sort v, c, -2.\nAnswer: -2, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - p + 156 = -28, 5*p = 2*h - 70. What is the second derivative of h*t + 473 + 46*t**2 - 473 wrt t?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438759054 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*w**4 - 5*w**4 - 3*w**4 + (-6*w + 2*w + 5*w)*(0*w**3 + w**3 - 3*w**3) + (-30*w**3 - w + w)*(0*w + 3*w - w).\nAnswer: -58*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 16, 37, 78, 145, 244?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**5 - 13*y**4 + 5*y**3 + 50*y**2 + 44*y + 8 = 0. What is y?\nAnswer: -2, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63 and 0.03.\nAnswer: -1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 5*h**2 - 4*h - 1. Let l be v(2). Find the second derivative of 3 + 5*t + 0 - l + 15*t**2 wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33\/8 + 5\/(-40). Suppose 3*n + 19 = 5*a + 76, -i*a = -3*n + 57. Suppose -16*v = -n*v + 15. Sort 2, v, 0.\nAnswer: 0, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**0\/q)**(-17)*(q**(-1))**(-46))**(-7))**(-39) assuming q is positive.\nAnswer: q**17199","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**3\/3 - 5*d**2 + d. Suppose 0 = -3*r + 3*x + 30, -14 = -4*r + 3*r + 3*x. What is the units digit of t(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5123005 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3. Let v be (-2 - -3) + 1 - r. Solve -v*f - 20 = 2*k, -4 = -4*f - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107.49 - -107.4893027. What is g rounded to five decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.3 (b) -13\/32 (c) -909\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7983 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12241340 (base 5) in base 4?\nAnswer: 130321021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3 + 2 - l + 328*l**2 - 327*l**2. Let n(o) = 7*o**2 - 8*o - 8. What is -40*c(a) + 5*n(a)?\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 7*m - 23. Let i be n(-9). Sort 0, i, 5, -2.\nAnswer: i, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*d - 1, 7 = -3*n + 2*d. Let j be 5 - ((-4)\/1 + n + 9). Solve 5*v = -j*i - 8, -2*i + v = -3*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 31.2. Let t = -36.1 + -0.9. Let y = t + 39. Which is the third biggest value? (a) y (b) l (c) -0.5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 410 - -11?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 765, 4, 402 in descending order.\nAnswer: 765, 402, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - 2*h**2 + 1123876*h**3 - 1123835*h**3 + 4. Let x(s) = -s**3 + s**2 - 1. Determine d(v) + 4*x(v).\nAnswer: 37*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*k - 4)*(-8 + 2 + 1)*(k - 2*k + 2*k) in the form c*k + u + n*k**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**6 + 262127*k**4 + 200561*k**2 - 2*k wrt k.\nAnswer: 120*k**3 + 6291048*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-23 + (0 - -7))) + (-3 + -17 - -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (11\/3)\/(-11)*(180\/8)\/5\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 154*u**2 + 22*u + 95. Let h be a(9). Calculate the greatest common factor of 51 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3150 - 58 - (-2*2 - -1).\nAnswer: 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let v(j) = j - 14. Let n be v(12). Let u = n - l. Are u and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(6)\/(sqrt(108)*2).\nAnswer: sqrt(2)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11 + 8 + 1 + -13. Let o = q - -45. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -8, -1, 10, 25, 44?\n\"Answer: 2*a**2 - 3*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from yzfazaamzdzzyzd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 74765, 149473, 224181, 298889?\n\"Answer: 74708*t + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 14. Let h be k(0). Calculate the highest common factor of h and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 15 (b) -1.8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ce116 (base 15) to base 13.\nAnswer: -3a6a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0 - 55\/6*z**3 + 1\/4*z**6 + 1\/24*z**4 + 0*z - 51*z**2 - 1\/30*z**5. What is the second derivative of g(a) wrt a?\nAnswer: 180*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o - 21. Let v be t(5). Sort 2, -2, -3, v in decreasing order.\nAnswer: v, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - p = 1958, -p + 1098 = -2*u - 204. Let h = -382 - u. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/21)\/((-6)\/84)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5770784.\nAnswer: 2, 180337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -19*j**3 - 4*j**2 + 2*j + 1. Let g be f(-1). Suppose b - 6*b + 150 = 0. Let n = b - g. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 143, -4, -3 in increasing order.\nAnswer: -4, -3, 5, 7, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761818938.\nAnswer: 2, 3, 727, 174649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 4*w + 7, 5*w + 9 = 5*p + 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4064 in 0.3, -33, 2, 2\/11, 1\/2?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3181, 7162, 12749, 20746, 31957, 47186?\nAnswer: 67237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + 2*r + 5. Suppose -4*j = -32 - 0. Let z = 4 + -4. Let v = z - -3. Let f(g) = 5*g**3 - 6*g - 14. Give j*y(p) + v*f(p).\nAnswer: -p**3 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -i - 0*i, 2*a = -4*i + 200. Let r = -85 - -163. Let w = -52 + r. What is the highest common divisor of w and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9182791 = -222*o + 41*o + 594829. What are the prime factors of o?\nAnswer: 2, 5, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/7 - 20852*c\/7 + 153408.\nAnswer: -4*(c - 51)*(c + 5264)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qddsqspsdfpsqph. What is prob of picking 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -677*s**3\/3 - 1175*s**2 + 1717. What is the second derivative of m(t) wrt t?\nAnswer: -1354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -296ab77 - -1b?\nAnswer: -296ab5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*4*(-3)\/(-180))\/(21\/15)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -1651, 9?\nAnswer: -1651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 38605.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 690 + -916.5. Let z = -226 - d. What is the second biggest value in z, 2, -15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.089 minus -7645203810?\nAnswer: 7645203810.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4657 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 14 = 10*t, 0 = l - 5*t - 9440 + 9429 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7))**(2\/75)*m**(-3\/7)*m*m*m*m\/m**(-5)*m)\/((m**(-2))**(3\/22))**(1\/19) assuming m is positive.\nAnswer: m**(1052636\/109725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*-4 - 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minus 13?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -10. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 21*h**3 + 9*h**2 + 29*h - 13. Let m(t) = -5*t**3 - 2*t**2 - 7*t + 3. What is -2*g(c) - 9*m(c)?\nAnswer: 3*c**3 + 5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ununnn. Give prob of sequence nn.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 563 = -13*z - 0*z. Solve -z*d = -50*d - 12 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*j**3*v**2 + 2*j**2 + 13*v**2 + 3 wrt j?\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 250 in 0.3, -28, 37, 0.8, 0, 2?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3434 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3)*d**(-2\/7))\/(d\/(d\/d**(-1)))**(-2\/13)*(d**(2\/5))**23*(d**(2\/7)*d)\/d*d*d\/((d*d**3)\/d*d) assuming d is positive.\nAnswer: d**(718\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 1305*w**2 - 9038*w - 8. What is f(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1574493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 4. Suppose 0 = w - 5*n - 19, 5*w = n + n + 26. Let i be c(w). Suppose -2*o = 6 + i. Let q(a) = a**2 + 7*a - 1. Determine q(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 40 = -c. Let r be 7\/2 - (-20)\/c. Solve 0 = -5*s - r*y - 34, 0*s - 3*s = 4*y + 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -115*r**3\/3 + 7*r**2\/2 - 1652*r - 150. Differentiate q(m) with respect to m.\nAnswer: -230*m + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/10)\/7 + 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*g - 3 + 5, 4*r - 2*g - 4 = 0. Let l(w) be the first derivative of 0*w + 12 - w**r + 8\/3*w**3 + 6*w**2. Factor l(d).\nAnswer: -4*d*(d - 3)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - 3*o**2 + 6*o**2 - 2*o**2)*(-138*o**3 - 1192*o**3 + 165*o**3).\nAnswer: 2330*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 444 + -656. Let u = a + 518. Calculate the greatest common divisor of u and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 27*r**3 - 40*r**2 - 18*r - 15. Let t(w) = -13*w**3 + 20*w**2 + 8*w + 6. Let s(b) = 5*t(b) + 2*v(b). Factor s(d).\nAnswer: -d*(d - 2)*(11*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404875, 809754, 1214633, 1619512?\nAnswer: 2024391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825*w + 507*w + 9306 = 528*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29763 + -20653. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 9*w + 16. Determine b(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872323 is divided by 79302.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1162)\/(-12284)*(-8)\/14)\/1.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (13 + (-4 - 3)) - -16 - 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.966872l?\nAnswer: 5966.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -530933+-1.312694\nAnswer: -530934.312694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.01 + 128.07. Let k = -91 + h. Let f = k - 10.06. Put -2\/11, 1\/3, f in increasing order.\nAnswer: f, -2\/11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5. Let t(s) = -252*s - 142. Let k(x) = t(x) + 3*z(x). What is the tens digit of k(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -190, 133, 1014, 2735, 5578, 9825?\n\"Answer: 47*w**3 - 3*w**2 + 3*w - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u - 2*u**3 - 2*u**2 + 3*u**3 - 3*u**2 - 1. Let x(j) = -4*j - 2. Let r be x(3). Let g be (7\/r)\/(1\/(-8)). Determine m(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Let c = 210\/41 + -671\/123. Put -3\/5, c, -0.4, r in increasing order.\nAnswer: -3\/5, -0.4, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12080 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*q - 30*q + 11. What is the remainder when q is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -100.0297 and 323.\nAnswer: -32309.5931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1056 and 3?\nAnswer: -0.3168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6988 a factor of 1391446378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5288 + -735?\nAnswer: -59c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204610.23*-0.02.\nAnswer: 4092.2046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -65065277 to the nearest 100000.\nAnswer: -65100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i + 4. Let t(c) be the third derivative of -19*c**5\/60 + 770*c**2. What is t(k(p))?\nAnswer: -475*p**2 + 760*p - 304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -784526 (base 13) to base 10\nAnswer: -2837204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36*10\/160)\/((-1)\/4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -w + 15, -4*m - w + 3 = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 4*l**2 + 4*l. Let g be n(-5). Solve -2*f + 0*q - 12 = -2*q, -14 = f - g*q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 3)\/((-6)\/(-8)). Suppose -4 = 5*z + d*o, -z + 5 - 1 = -4*o. Suppose 71 - 31 = 8*w. Solve w*y = -z + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o. Suppose -21*b - 75 = -54. Let r(j) = j - 1. Give b*s(l) + 2*r(l).\nAnswer: -3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1849917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 plus 3?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2100594364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5786404998?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2948*q = -7079*q - 248*q + 1191900 for q.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*m - 58, 4*w + 26 - 10 = 0. Find the common denominator of m and -38\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2712280 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -212889336*t - 220329534?\nAnswer: -212889336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4413\/4259?\nAnswer: -4413\/4259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*j**3 - 2 - 1487*j + 2981*j - 1489*j + 2*j**2 wrt j.\nAnswer: -600*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 0\/(-1)) + 18 + -18. Let f = 1939 - 126038\/65. Which is smaller: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + -223. Let p = r - -275. Let m(s) = 2*s**2 - 12*s + 3. Let f be m(7). Calculate the highest common divisor of p and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.3*10.6\nAnswer: 45.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**3\/2 - 375*o**2 + 4716*o = 0.\nAnswer: -262, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3551635 is divided by 267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 1520742600*b - 115632902772738000.\nAnswer: -5*(b + 152074260)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -202 + 311. Calculate the lowest common multiple of 7 and v.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -8. Let s = -2 - i. Is 5\/4 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**2 + 17*s + 20. Let v be p(6). Solve 5 = 3*k + 2*o, -16 + v = -5*k - 2*o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 194473*k - 194473*k - 40*k**4 + 5*k**4 - 4*k**4 - 2*k**4 + (-k**3 + 3 - 3)*(-2*k - 3*k + 4*k) - k**4 + 0*k**4 + 3*k**4.\nAnswer: -38*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -26*v**2 - 35 - 57*v**3 + 32*v - 57*v**3 + 115*v**3. Let f be k(25). Suppose 4*g - 908 = -f. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/10 - (-69)\/(-60))*4. Let n be ((3\/2)\/q)\/(3\/(-3)). Factor n*m**4 + 1\/3*m**3 - 1\/6 + 1\/6*m**5 - 1\/3*m**2 - 1\/2*m.\nAnswer: (m - 1)*(m + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.88 times -8?\nAnswer: -151.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.083 + -3.083. Which is the nearest to i? (a) 2\/7 (b) 2\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - (-49 + -48)) + (-16 - 1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 3*d**3 + 0*d**2 + 1\/4*d**4 - 15 + 0*d. Find the third derivative of z(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s - 152 - 64 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1038029 + 1604329. What is b rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uru when three letters picked without replacement from {n: 3, j: 1, i: 1, k: 1, r: 2, u: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 2*2 - (-10879)\/3036. Let a(o) be the second derivative of 0 + 0*o**2 + 10*o - 1\/6*o**3 - b*o**4. What is the second derivative of a(x) wrt x?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z = -607 + 1606. Let j be (-2)\/(-5) - (-284)\/(-10). Let h = z + j. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24032355 bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(4\/1)*(-4)\/14?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1037 and -5178\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -4*s - 2*f + 16, 0 = -5*s - 5*f - 20. What is the third derivative of 3*o**5 - 6*o**5 + s*o**2 - o**5 - 2*o**2 wrt o?\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-7 + (7 - (13 - 5)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 4*i**2 + 7*i - 1. Let q be (3\/6)\/(1\/10). Calculate the remainder when u(q) is divided by 6\/24 + (-11)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1558 and -87\/14.\nAnswer: 10906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b + 16529. Let p(u) = -u. Calculate p(y(c)).\nAnswer: -4*c - 16529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*g + 26 - 50 + 33 = 0, 35 = -11*k - 2*g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a - 7*a + 0*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 72\/14 - 32\/224. Solve i - 5 = -r*s - 3, 2 = s + i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -34*h + 36*h, 2*h = 3*p + 1. Calculate the remainder when 293 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h - 84 = -41*h. Calculate the smallest common multiple of 72 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15.46, 2\/9, 3.\nAnswer: -15.46, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3)\/(a\/(a**(-13)\/a)))\/(a\/(a\/a**(-11))*a*a*a\/((a*a\/(a*a**5*a)*a)\/a)))**(-29) assuming a is positive.\nAnswer: a**(986\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0 + 0 - d + 0*d + 2*d + (3 - 3 + 2*d)*(-3 + 1 + 0) + d + 0 + 0)*(3*d**2 - 28 + 28).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -797 + 2392\/3. Factor 0*s + 0*s**2 + 0 + 1\/6*s**5 + f*s**4 + 1\/6*s**3.\nAnswer: s**3*(s + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -733461.679831 - 0.1044.\nAnswer: -733461.784231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1a4 (base 11) to base 6\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 14. Let o be l(0). Suppose 0 = y - o - 0. What is the remainder when (2 + -8)*(-18)\/4 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6513 - 196797.\nAnswer: -203310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyggggggggyg. What is prob of picking 3 g?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22234941 + 9?\nAnswer: 22234950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2393862?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 4.88. Let w = s + -4.12. Which is the third biggest value? (a) 0.2 (b) w (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1665)\/60)\/((-1)\/408). Let f = 135781\/12 - j. Find the common denominator of 27\/10 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.73 and -2805?\nAnswer: 2047.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035335369 rounded to six dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 3*v - 3. Suppose 3*a + 3*o = -159, 2*a = 4*o + 4 - 128. Let f = a + 60. Give b(f).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33746, -33798, -33850, -33902, -33954?\n\"Answer: -52*c - 33694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/120*-2*1.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4054 - -0.4266. What is s rounded to two decimal places?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12156 + 11770. Is s at least -371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3062 + v**2 - 6147 + 3085.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7534.\nAnswer: 2, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 17. Suppose -3*z + t = -3*t + 6, -z - 3*t = -r. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3540961 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-5 - 2) - (-26 - 22) - (0 - 10)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -1013, -4 in descending order.\nAnswer: -4, -59, -1013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s. Let d be (-7 + -8)*(-3)\/(-9). What is l(d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19305b (base 14) to base 2\nAnswer: -11011001101111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9 - ((-3696)\/54)\/28.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 281*r**4\/6 + 3*r**3\/2 + r**2 - 1018*r. Find the second derivative of i(d) wrt d.\nAnswer: 1124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 5*o - 81 = 0, -3*o - 7097 = 4*y - 7064 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 41 + 423 + -438\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17065 + -239019\/14. Let g = 617571870165\/162144282062 + -67620\/2813149. Let n = g + 4\/4117. Calculate the common denominator of n and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnhl when four letters picked without replacement from hgldllggggjhggjnggdd.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 86*i**7\/105 + i**4\/6 + 97*i**2. Find the second derivative of j(h) wrt h.\nAnswer: 2064*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392a6 (base 13) to base 2.\nAnswer: 11001110111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.896255ml in litres?\nAnswer: 0.000896255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 5\/166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 132\/3065 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7332, -8661, -9996, -11337, -12684, -14037, -15396?\n\"Answer: -3*v**2 - 1320*v - 6009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6471*z**2 - 6471*z**2 - 8*z**3 + 7*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355497 is divided by 1457.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(2 - 0)\/(-2). Let d be (i - 6)*(-11 + 6). Let t = 43 - d. Calculate the lowest common multiple of 22 and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - -87. Suppose -652 = -4*u - f. Is 30 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18396178901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956972 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -6, -5*g + 1107*v - 1116*v = 42 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-4) - (181089\/(-38))\/27 is divided by 57?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -391, 4.3, 1\/5, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -604 + 610. Solve -b + 4*p + 17 = 0, 0 = 2*p + 2 + a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 177131828*x**4 + 69769849 with respect to x.\nAnswer: 708527312*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 s, and 1 g when three letters picked without replacement from {z: 2, g: 2, v: 2, n: 3, s: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -354 - -350 - (1 - (3 + 2) - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**3 + 251*n**2 - 1201*n?\nAnswer: -18*n + 502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 648922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2. Suppose 0*o = 4*o - 28. Let z = 4 + o. Let d(y) = -4*y**2 + 5*y**2 + z*y**2. Give v(d(b)).\nAnswer: 144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaaacxcaax. Give prob of picking 1 a and 1 c.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -307569, -307577, -307607, -307671, -307781, -307949, -308187?\n\"Answer: -2*r**3 + r**2 + 3*r - 307571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -324292 at least as big as -324290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, u: 1}. What is prob of picking 2 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8580 - -8579.7. Put 0.09, 4, y in decreasing order.\nAnswer: 4, 0.09, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 30*a**2 - 32*a + 9. Is q(28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2941.\nAnswer: 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 48 = 3*h, -4*y - 18 = -6. Let j(r) = -2*r**3 + 15*r**3 + 13*r**2 + 2*r**3. Let k(a) = -7*a**3 - 6*a**2. Calculate h*k(w) + 6*j(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843 is divided by 831.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 1\/386 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233360, -233363, -233368, -233375?\nAnswer: -233384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 15 = 2*u - 2*h, 5*u = h + 40. Let r = 9 - u. Is -4*(r - 471\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 35 - 199 = 0. Suppose 0 = -0*o + o. Suppose g = 4*d + p, o*g - 99 = -3*g + 4*d. What is the remainder when 55 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.06325 to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 37737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.12 and -754654.\nAnswer: -754654.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 h, and 1 a when three letters picked without replacement from ahuhaghyay?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 936236279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**4\/42 - 17*h**3\/7 - 144*h**2\/7 - 6263*h. Factor q(v).\nAnswer: -2*(v + 3)*(v + 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - z. Let m be u(1). Suppose 12 + 6 = c + 4*y, 5*c - 5*y - 190 = 0. Suppose m = -t + c. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -22210?\nAnswer: 22204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-49 - -4)\/(-2 + 1) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6)*(-16 + -1 + 8). Let h be (-4)\/3 - ((-35)\/(-7) - y). Sort 4, h, -3 in increasing order.\nAnswer: -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16014483239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.27 + -27.8. Sort 0.4, -1\/4, -5, -2\/7, h in ascending order.\nAnswer: -5, -2\/7, -1\/4, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o + 3. What is i(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 149.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*i**3 + 27 - 27.\nAnswer: -45*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Let x(q) = -21*q**2 + 155929*q - 6. What is x(t(a))?\nAnswer: -84*a**2 + 311858*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 6*c = -3*o + 119, 107*o - 11*c = 34*o - 6*c + 270 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6908527628?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 6*l**2 + l - 2. Let k be h(6). Suppose 5*z - k*z - 20169 = 0. Suppose -3*f + 2*p = z - 59, f = 5*p - 6725. Round f to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 - (3 - 15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 54 = 2*i, 22 = 5*o + 3*i - 34. Suppose o*r - 3791 - 6699 = 0. What are the prime factors of r?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*o - 45, 58 = 3*g + 4*o + 13. Suppose p + 3*p - 2*u - 24 = 0, -2*p + 5*u + 28 = 0. Let j = 593 + -590. Solve -g = -p*r - j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.67339 rounded to one dp?\nAnswer: 91.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13311496.\nAnswer: 2, 11, 331, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -36 - (-13 - 1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = 9*v + 11. Which is the second biggest value? (a) v (b) -2 (c) 65\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.752 - 0.7. What is n rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/12 - (-1 - (2 - -1)). Factor 1\/2 + 2*u**4 + 6*u**3 + 3*u + v*u**2.\nAnswer: (u + 1)**2*(2*u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6685631, 13371275, 20056919?\nAnswer: 26742563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**10)\/(u\/(u\/u**(1\/6))*u)*u**9\/u**8)**10)**(2\/29) assuming u is positive.\nAnswer: u**(650\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1511526 * 0.026\nAnswer: 39299.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = q + 5*n - 2, -10 = -5*q - 3*n. Let f(l) = l**2 + 3 + l - 18 + 8. Let y be f(-4). Put -5, q, y in descending order.\nAnswer: y, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, f: 15}. What is prob of sequence ff?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**6\/660 + v**5\/165 - v**4\/132 - 2*v**3\/33 - 2*v**2 + 4*v. Factor g(r).\nAnswer: 2*(r - 1)*(r + 1)*(r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384\/176 - (-2)\/(-11) - -377*17 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*j**2 - 45*j + 47*j - 75*j**2 to the form m*j**2 + c*j + v and give m.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/53 or -16\/22453?\nAnswer: -16\/22453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 4*f - 5. Let p be q(5). Let m be 2 - (p + -6)\/2. Solve -3*b - 19 = 5*w, -2*b - 17 = 3*w - m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6891 + 6826 - (-2 + -10)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 262 + -185. Let j be ((-22)\/x)\/(2\/(-14)). Let w = -2 - -4. Solve 0 = c + 3, 6*u - j*u = w*c + 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 a, and 2 f when four letters picked without replacement from {r: 4, a: 2, m: 3, z: 1, f: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 1:59 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 8 + (-2)\/1. Suppose i*h - 5*h = -4750000. Let o be (h\/(-3))\/((-3)\/(-18)). What is o rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n - 1. Let b(m) be the third derivative of 0*m - 1\/6*m**4 + 0 - 2\/15*m**5 - 2*m**2 - 4\/3*m**3. Determine b(q) - 6*x(q).\nAnswer: -2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 289042980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -783 and 8609988531?\nAnswer: 8609989314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*v = -2*m + 8, -3*m + 12 = 5*v. Suppose -4*o - 5*w = -o - 58, 0 = 2*o + m*w - 40. Solve -d + 5*d = -o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*r*s*u + 2*r*s - r*u + 47*r - 126904*s*u - 6537*u wrt s?\nAnswer: 10*r*u + 2*r - 126904*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 224*x**5\/5 - 77*x**2\/2 + 5297*x. Let h(l) = 69*l**3 - 6. What is -77*h(c) + 6*j(c)?\nAnswer: 63*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqmg when four letters picked without replacement from gssssggsgsqmsg.\nAnswer: 5\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6511188842 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 7*r**2 + 8*r + 9. Let q be o(-8). Suppose -3*v = -5*y + 19, -y + v = 2*y - q. Are y and 6\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.447526 litres?\nAnswer: 447.526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 630 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/24 + 8\/12. Suppose 8 = -4*m + 48. Let f be m\/(-25)*(-50)\/8. Sort a, f, 3 in descending order.\nAnswer: 3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/7, 0.09, 9\/7, -1\/62.\nAnswer: -0.3, -2\/7, -1\/62, 0.09, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, -1.7, -191\/25, 2\/3?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/21 in -0.08, 5, 8?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(-3)\/(-12) + 118 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 573 and 955?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 3*h**2 + 15*h - 12. Suppose -4*t - 2*f - 18 = 0, -4*f + 13 = -2*t + 3*t. Does 6 divide i(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601700 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 102*t**2 - 7*t - 730. Determine m(-102).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = 4*g - 32. Let l = g + -676\/7. Find f, given that 0 - l*f**3 + 6\/7*f**2 + 0*f = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -84. Solve 3*p - i*z + 1 = -2, 2*z - 8 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 21320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + (sqrt(70) - sqrt(70)*-2))*-5 + sqrt(70))\/((sqrt(40)\/sqrt(4) + sqrt(10))*-3) - (-4 + sqrt(77)\/sqrt(11) + 5*sqrt(567))**2.\nAnswer: -14828 + 2227*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-30))\/(((-78)\/(-40))\/(-13))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -728*q - 556 - 542 + 730*q + (3 + 0 + 0)*(0 + 2*q + 0).\nAnswer: 8*q - 1098","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9379 and 1?\nAnswer: -9379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*-1*527\/(-1054)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from kkjjkkkkkj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5399405 divided by -6985\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*k + k + 2*k + (1 + 3 + 3)*(4*k - k - 5*k))*(-5*k**3 + 3*k**3 + k**3) in the form u*k**3 + p*k + y + b*k**4 + t*k**2 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*i**2 - 36*i**2 - 38*i**2 - 8 in the form b*i + q*i**2 + w and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 3 + 0*u - 1)*(2*u**2 + 0*u**2 + 2181*u**3 - 2062*u**3).\nAnswer: 357*u**4 + 244*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 375265.8 years?\nAnswer: 3752.658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 17*n + g, 3*n - 5*g + 36 - 47 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - 5*r + 0*r)*(24*r - 2*r + r) - 4*r**2 + 2*r**2 - 11*r**2 to the form n*r**2 + j*r + o and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 142909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 2*z + z + (-3 - 3 + 5)*(-31 + 6*z + 31) to the form c + f*z and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 59 = 3*y - 3*f, -4*f + 13 = y. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -0.3, -4, 3\/4, -3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 + 100 = -21*f - 59 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3389 - -0.0611. What is the second biggest value in h, 6, 2\/15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 432 and 872.\nAnswer: 47088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + 103. Suppose -o + z = -1. What is the greatest common divisor of 12 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132177 smaller than 109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -3 - (1 + -2). Let f(a) = a**2 - 2. Let t be f(-2). Let z be 9\/(-6)*20\/(-6). Solve -2*y = -z*v + t, -y + 10 = n*v - v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 7*j. Let u(h) = h. Let a(o) = -f(o) + 6*u(o). Factor a(p).\nAnswer: -p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -25*d**2 - d - 17. Let w(g) = -27*g**2 - 2*g - 29. Let n(a) = 2*w(a) - 3*z(a). Let y(r) = 10*r**2 - 3. What is -3*n(x) + 7*y(x)?\nAnswer: 7*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30 + p**4 + 18*p - 50 + p - 57 with respect to p.\nAnswer: 4*p**3 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*w + 1215482, -3*v = -2*w - 0*w - 1215454. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2 + 357608*s + 7510209 = 0.\nAnswer: -21, 357629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/40)\/((-32)\/(-40)))\/(27\/594)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -100 + 622. Let c be 3\/21 - g\/7. What is the units digit of 1\/(-3)*(-2 - c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22074.\nAnswer: 2, 3, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(66\/(9\/3))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, h: 1, s: 6, u: 2}. Give prob of picking 1 s, 2 u, and 1 h.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*q - 76 = 0, 2*q - 7*q + 4 = 2*p. Suppose -2*c = -c - p. What is the remainder when 21 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47\/4 or -11?\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12531570*a**2 + 8440528.\nAnswer: 25063140*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 360 - 359.542. Let t = -0.042 - h. Let n = -0.06 - -0.46. What is the biggest value in n, 0, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604190358 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010083173 rounded to seven decimal places?\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 + 1.8. Let j = 7 - 6. What is the closest to -1 in u, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39228*l**2 - 33*l**3 + 39228*l**2.\nAnswer: -33*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 50*y**2 + 2*y + 1. Let r be c(-1). Suppose 4*z - o = r, 0 = -z + 3*z - 4*o - 42. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8046*n = -7924*n - 4711 - 1023 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 - -0.63. Let m = -0.2 + 1.8. Let b = m - j. Is 1 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 8*h**2 + 5*h + 3. Calculate i(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -1. Let i = 5 - 5.2. What is the nearest to -0.1 in -2\/13, c, i?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -13. Calculate the remainder when 249 is divided by 168\/g*((-135)\/10)\/9.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283991822*d - 283991822*d - 723*d**3 + 2*d**2.\nAnswer: -723*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3453 is divided by 1128.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13727 is divided by 80.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 5*o**2 + 2*o - 1. Let h(l) = 1536*l**3 - 50*l**2 + 20*l - 10. Give -10*d(g) + h(g).\nAnswer: 1546*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-1)\/3)\/((885\/(-15))\/(-7965))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/132 and -53\/21835.\nAnswer: 262020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -12*y + 24. Let z(h) = -h**2 + h - 1. Let v(n) = 5*n**2 - 8*n + 8. Give y*z(c) - v(c).\nAnswer: c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34881503 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**5\/120 + 103*v**4\/48 - 97*v**3\/2 - 8*v**2 + 2*v + 10. Solve a(i) = 0.\nAnswer: 6, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4\/9, -0.3, 91 in ascending order.\nAnswer: -4\/9, -0.3, 0.1, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*c - 31 = 2080*d - 2087*d, -3*d = 9*c + 81 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -126 + 170. Factor -f*d**2 - 37*d**2 + 2*d**3 + 67*d**2 + 20*d.\nAnswer: 2*d*(d - 5)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*w = 80*w - 11648. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -107997, 2\/5, -1.032?\nAnswer: -107997","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p + 16. Suppose 11*n + 81 = 2*n. Let a be t(n). Let l be a - (10 + -4)*-1*2. Solve 3*w + 4 = l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/139 (b) 3 (c) -1.6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(78) - (sqrt(78) + 2*sqrt(78)*-1 - sqrt(78)))\/(sqrt(6) - (sqrt(36)*1 + sqrt(36))\/sqrt(6))*-5.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -59893 * 0.2\nAnswer: -11978.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((4 - (-27)\/(-6)) + 0)*-16. Suppose 18*t + o = 44. Solve t*r - 2 = 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (174 - 167) + (-34 - (-2 - -2))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 2*k**4\/3 + 4*k**3\/3 + 2*k. What is the second derivative of f(l) wrt l?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 5*w + 3*f = -1, -3 = -3*w + 3*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*n - 39 + 156*n - 239*n.\nAnswer: 8*n - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 982368253?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 189.54981 and -12?\nAnswer: -2274.59772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 17 = 185. Let c(f) = -3*f - 9. Calculate the smallest common multiple of c(-5) and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 5. Let v = -87 + 90. What is the remainder when j is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l - 2. Let s be (3 - (-3)\/(-3)) + 1. Does 13 divide j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4264345?\nAnswer: 5, 167, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3082 + 16*i - 4*i**4 + 15*i**3 + 3081 + 3*i**4 to the form o*i**4 + h*i + c + l*i**3 + q*i**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (357\/28 - 9)\/((-3)\/(-8)). Let c = 605 + -425. List the prime factors of o\/25*c\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 1\/2*a**4 + 216*a - 1\/120*a**6 + 1\/2*a**3 + a**2 + 1\/15*a**5 + 0. What is l(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -983 by -5.\nAnswer: 983\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2445)\/9 + 4\/(-12). Let v be (a\/(-51))\/((-2)\/(-3)). Suppose -v*n + 35 = -7*n. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23636 - -113133. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 716 = p - 3*u, 3*p - 2*u = -7*u + 2106. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2402 or 3307?\nAnswer: 3307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 6 + 0 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 2350880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -510.127 + 510.18700016. Let l = m + -0.06. What is l rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26022 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + x + 20. Solve 0 = x*y - w + 2, 12 = -2*y - 4*w - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 + 1478*r + 71456\/3.\nAnswer: -2*(r - 2233)*(r + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 693 and 693?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4963*j + 2479*j + 7139*j + 1985*j + 7283*j)*(-3 + 2*j + 3).\nAnswer: 27846*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + 135*z**2 - 121*z + 5. Is b(63) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -162325\/18 + 9026. Find the common denominator of -99\/20 and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2061, 1863, 1665, 1467?\nAnswer: 1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 7*j + 14*j - 7*j - 1. Let m(b) = b**2 - 1. Let i(t) = -3*m(t) - 21*v(t). Determine r, given that i(r) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*11.5\nAnswer: 11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*u**5 + 28710*u**4 - 74945*u**3 - 149670*u**2 - 46040*u = 0. Calculate u.\nAnswer: -1151, -1, -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11776 = 81387*b - 81899*b for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 + 0.04. Let z = -2.08 + q. Let b = 6.05411 + -0.05411. Sort b, z, 4 in decreasing order.\nAnswer: b, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x = 15. Suppose 4*h = 5*c + 21, 0 = x*h - 0*h + 5*c - 7. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 11:48 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 115 - 0. Suppose 0 = 3*v - 5*v + 2*b + 14, r = 5*v - b. Factor -4*s**3 - 38*s**3 - 18*s + 6 + 14*s**4 - 9*s + 48*s**2 + 4*s**v - 3*s**5.\nAnswer: -3*(s - 2)*(s - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1713000 to the nearest ten thousand.\nAnswer: 1710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 18 = -7. Suppose -3*z + 58 = -i, z - a - 9 = -i. Suppose 2*v - w = z, -2*w + 4*w - 44 = -4*v. Solve q = -4*s - 2, 3*q - 4*s - v = -0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 771, 1503, 2223, 2925, 3603, 4251, 4863?\n\"Answer: -v**3 + 739*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14465*h**3 - 807*h**3 + 13835*h**3.\nAnswer: 27493*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2326 + 3720. Calculate the remainder when s is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/(1440\/(-1110)) + 40. Suppose -15\/8*y**4 + 0 + 1\/4*y**p - 1\/4*y + 15\/8*y**2 = 0. Calculate y.\nAnswer: -1, 0, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 429?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + (sqrt(209) - 1*sqrt(209))*-1)\/(sqrt(1100) - (-1*sqrt(1100) - sqrt(1100))) + -1)**2.\nAnswer: -sqrt(19)\/15 + 919\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 37*a**2 + 40*a - 89. Give l(38).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/1395?\nAnswer: -2\/1395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 33*l = 0. Suppose 17*m = j + 19*m + 3, l = -4*m - 20. Let c(v) = -v + 13. Calculate c(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-12)\/(a**(-10)*a*a*a))**(14\/3)\/((a**(1\/4))**(-12)*(a\/(a*a**(-4\/5)))\/a*a\/(a\/a**(-5))) assuming a is positive.\nAnswer: a**(-227\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2410866*0.1\nAnswer: 241086.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 14) in base 9?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14 - 4)*4\/10. Suppose -2*m = -5*m + j*t + 4, -6 = -2*m + t. Solve -m*h + 1 = -19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.4, 26, -4\/5, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1105\/2 - -553. What is the second smallest value in -2\/3, n, -6, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -232 + 220. Let u(v) = 37*v**2 - 6*v + 50. Let a be u(i). What is a rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -36, 0.026, -8, -0.3, -4\/11, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + f + 1)*(-44*f**2 + f + 22*f**2 - 17*f**2).\nAnswer: -39*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73212 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13449, 19, -2, -39 in descending order.\nAnswer: 13449, 19, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 70*w**2 + 10922*w + 320. Determine h(-156).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**4 + 3*y**4 + 2*y**4 + (-4 - y + 4)*(1 - 6 + 2)*(-2*y**3 + 2*y - 2*y).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (3 - (0 - -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 109, -5, 0 in descending order.\nAnswer: 109, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240657 by -66.\nAnswer: 80219\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 158*o - 185. Let p be a(34). Suppose -30*k = -p + 537. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5203*-26.8.\nAnswer: 139440.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -19945\/6 at most -3323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45.6 - 30.9. Let t = -75.9 - k. Let v = 1 - -2. What is the second biggest value in -3, -0.4, t, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -135.5884 to the nearest integer.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -r + 11. What is the closest to 1\/3 in 2, r, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 0*p)*(0*p - 3*p - p)*(p**3 + 2*p**3 - 5*p**3).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -12*d**2 - 35*d + 101. Calculate o(4).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 188*q**2*t*w**3 + 508*q**2*w**3 - 2*q**2 + 23142*q*w**3 + 5*t*w wrt q?\nAnswer: 376*t*w**3 + 1016*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6543, -12923, -19149, -25215, -31115?\n\"Answer: i**3 + 71*i**2 - 6600*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**14\/((g*g**(-13\/2))\/g) assuming g is positive.\nAnswer: g**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2390006 and 1566?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2. Let l(y) = 8*y + 9*y + 8*y - 12*y. Give l(m(g)).\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134897 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 7021056?\nAnswer: 21063168","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5124 and 71056948.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-2))\/(348\/88 - 4). Suppose 103 = c + u. Let w = c + -49. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.123 (b) 1 (c) 0.007\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150 (base 16) to base 4.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y + 480 = -11*y + 2*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxqlmlmlllljmlllqll. Give prob of sequence lmq.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 - -16. Let j = 35 + s. Which is the nearest to j? (a) 1 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*-4*1\/(-12). Suppose -g*h - x = -3, -5*h - 5*x - 6 = 9. Suppose -c + 2 = -2. Solve v + c - h = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.887 times 5?\nAnswer: 24.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 + 5*g**2 - g. Let j(q) = -5*q**2 + 213*q - 211*q - 4*q**3 - 4*q**2. Suppose -5*m + 4 + 16 = 0. Determine m*j(h) + 7*s(h).\nAnswer: -2*h**3 - h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100110110010 - 1011?\nAnswer: 111100110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*3\/(-2)*-1. Put 1\/4, t, -3\/2 in increasing order.\nAnswer: -3\/2, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11635998 - 405\nAnswer: 11635593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345105 is divided by 832?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c - 436. Let v be (-12)\/c*4\/6. Let j = 81\/1526 + v. What is the common denominator of j and -49\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/17 (b) -1 (c) -1591\/10 (d) -5 (e) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.99805 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 + 5*u**2 - 3. Let j be s(-1). Solve -n = -2*a + 8, -j*n - 9 = 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -14)*(-2)\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/11 + 16*y\/11 - 64\/11.\nAnswer: -(y - 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4 = 0, 3*p - 5*q = -0*q + 23. Let u be (1179 + -14)*(-1 - p). List the prime factors of 3\/7 - u\/35.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 4. Let o be 4\/y*8\/(-14). Let g = 0 - -1. Which is the second biggest value? (a) o (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -298702 or -298704?\nAnswer: -298702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34244, 68489, 102734, 136979, 171224?\nAnswer: 205469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1 - (-21 - -23))*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/18)\/20*(-6)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 217 + -215. What is the second derivative of -53*d + 20*d**3 - 5*d**3 - y*d wrt d?\nAnswer: 90*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.953093 litres?\nAnswer: 1953.093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cbc (base 16) in base 6?\nAnswer: 125004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955070847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 take away 92?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 75 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s = 26*s + 24. Let g = -12 - -60. Let z be (-12)\/66 + g\/22. Solve -a - s = z*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*b = 36, 2*l + l = -4*b - 59. Is 17 a factor of (-2)\/l + -4*990\/(-117)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 6*r + 44243, -2*v + 51784 + 36710 = -4*r. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 9*d + 4. Let y be v(-5). Let o be (-3583998)\/7 + 26\/y. Round o to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4, -3*m + 4*q - 12 = -5*m. Let n be (-2)\/(-3) - (-10)\/3. Suppose n*c = 2*c + 32. What is the greatest common divisor of m and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = 524 - 54. Sort a, -2, -1 in increasing order.\nAnswer: a, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(5\/9)*y\/(y\/(y**31*y)) assuming y is positive.\nAnswer: y**(293\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/2 - -3) + (63\/14 - 2)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from akakaaa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.019 - 0.221. Round r to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2401*f**5 + 211*f**3 + 2*f**2 - 2866503*f wrt f?\nAnswer: -48020*f**3 + 1266*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 209*o**5\/4 - 1883*o**4\/4 + 2317*o**3\/4 + 4367*o**2\/4 - 21*o\/2 = 0.\nAnswer: -1, 0, 2\/209, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -170276 or -170278?\nAnswer: -170278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (4 + -6 - (8 - 7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -740 - -1153. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-5))\/((-2 + -50)*8\/(-720)*-9).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r. Let i be (-4 + 1265 + 1)\/2. Let s = -342 + i. Let c(f) = -f**2 - 289*f + s*f. What is n(c(w))?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 495?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3509)\/275 + 4\/((-32)\/(-104))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 984612 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 456, 893, 2054, 4311, 8036, 13601?\nAnswer: 21378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 54. Let s(x) = 2*x**2 + 26*x + 26. Let h be s(d). Solve -5*p - 14 = 5*i + 6, 0 = 2*p - h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-45)\/(-4))\/9 - 3\/12. Let n = 3 - -1. Suppose -4*v + 3 = -t + 13, -v = n*t - 6. Sort r, t, -5 in descending order.\nAnswer: t, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7341086906.\nAnswer: 2, 3670543453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 562480296 to the nearest integer?\nAnswer: 23717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 94.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 180*q - 4050.\nAnswer: -2*(q - 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 87.51693 millennia?\nAnswer: 8751.693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550 (base 15) to base 8.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j + 9. Let m be c(-6). Let b = 36 + m. Suppose 25 = 5*d + 2*f, 3*d - b = -f + 11. What is the highest common divisor of d and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 5*v + 25. Let f be m(8). Let p(l) = -2*l**2 - 5. Let x(h) = -h - 1. Calculate f*p(w) - 3*x(w).\nAnswer: -2*w**2 + 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (170\/72 - 2) + (-1)\/9.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71\/(((-15)\/(-20))\/(132\/(-176))).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 214340 (base 5) in base 4?\nAnswer: 1310232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b - 23. Let w be i(-8). Let r = w - -42. Let x = -16 - r. What is the closest to -0.1 in 3, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2500\/5*-2195*(-9 - -5). Round y to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**9\/1008 - j**5\/120 + j**3\/2 - j**2. Let r(g) be the first derivative of i(g). Find the second derivative of r(f) wrt f.\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 19 = y + 2*b, -5*b - 36 = 2*y. Let v = -8 - y. Calculate the highest common factor of 20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25983*-0.2.\nAnswer: -5196.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -4 - (-2 + 6 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91253 or 91261?\nAnswer: 91253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + -2 + -4 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 129 in 0.08, -3, -1.2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 14, 13, 6, -7, -26, -51?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)*-3 + 3.\nAnswer: -24*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*r + 41, 2*g + 20*r = 19*r + 39. Let l be 3\/(-3)*(1 + -2). Let w be (l\/(-2))\/(7 + -8). Is g bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 7:06 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30584 is divided by 15220?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) -0.4 (c) 3\/11 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:15 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 5. Let z = 580 + -585. Let q(f) = -f**2 - f + 4. Let j be q(0). Let h(t) = -3 + j + 0. Determine z*h(w) - c(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16388 + -246014\/15. Let m = 1939\/165 + h. Calculate the common denominator of m and 3 + (-7)\/(147\/(-48)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145509936 by 6.\nAnswer: 24251656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/3)\/(18\/27). Let n(r) be the first derivative of 1 + 1\/2*r + 1\/8*r**4 + q*r**3 + 3\/4*r**2. What is b in n(b) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1887 divided by 6?\nAnswer: 629\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*u - 195*u**2 + 319*u + 185*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-14256)*66*6\/531.\nAnswer: 1\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12374 = 2*y, -2*p - 8 = -4*p. Suppose 4681 + y = 3*q - 3*g, 5*q = 4*g + 18102. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 7 + 16 - 8)*(267*m - 267*m + 115*m**4).\nAnswer: -115*m**5 + 115*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, b: 2, f: 8, w: 8, n: 1}. What is prob of sequence bbn?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 10, 5*p - 3*y + 13 + 3 = 0. Suppose -20*r - 1296 = -14*r. Let i be 1*(-2)\/16 - (-21)\/r. Which is the nearest to p? (a) 0.4 (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-15)*(1 + -22). Let b(s) = 38*s - 48. Let k(i) = -19*i + 24. Let p(x) = y*k(x) - 4*b(x). What is the derivative of p(j) wrt j?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 4*u**2 - 3*u - 1. Let y be i(3). Let f be (139 + y)*(-9)\/(-27). Let h = 58 - f. Calculate the greatest common divisor of 84 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 465 - 436. Let v = 31 + -4. Suppose t*m - v*m = -153400. Round m to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*k + 8331 - 8552 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 5*n**2 + 2*n - 1. Let o be v(-3). Suppose o*i - 2 - 42 = 0. What is the biggest value in -5, -2\/5, i, 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 4*d - 7. Suppose 7*q - 13*q - 36 = 0. What is p(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/((-11648)\/(-240))*6)\/(6\/(-28))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15*3\/(-9) - 5*1. Sort 4, t, 77 in increasing order.\nAnswer: t, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 624 = 65*i - 2*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let k(g) = -10*g**2 + 12*g - 8. Let p(s) = -6*a(s) - k(s). Let p(l) = 0. What is l?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-32)\/48)\/((-18)\/(-62) - 0) and 35\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 42 = 3*f, 1132 = g + 2*f + 1134 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*n + 95 = n, 4*n + 73 = -59 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. Let q = -5.53 - 1.77. Let k = -7 - q. Which is the smallest value? (a) i (b) k (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.672663 rounded to 4 decimal places?\nAnswer: 2.6727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2849, -9, 31 in decreasing order.\nAnswer: 31, -9, -2849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 divided by -1155561?\nAnswer: -295\/1155561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17587 and 341753.\nAnswer: 324166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 447026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 124.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqe when three letters picked without replacement from ecbbeeccqqcee.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13709300 and 1100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -29, 3\/20 in increasing order.\nAnswer: -29, 3\/20, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/32 - 74\/(-24))*51. Calculate the common denominator of (24\/(-540))\/(16\/y) and -53\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 5:12 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1379.04 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 6*v + 4. Determine m(4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.834224 rounded to one dp?\nAnswer: 17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -333*f*j**4*p + f*j**2*p + 7*f*j**2 - f*p wrt j.\nAnswer: -7992*f*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 9\/2*u**2 - 4\/3*u**3 - 2*u + 0. Find the common denominator of h(6) and 41\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from znennzznzze.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -130, -285, -502, -781?\nAnswer: -1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.3, -5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 1 + (337 - 349)*(-1)\/2. Suppose 4*l + 0*l = 100. Solve 5*m - p + l = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18489399 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 2\/7, 0.5, 1\/7, -1\/7, -5\/6, 411\/7?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5641673 and -4.\nAnswer: 22566692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*w - 441*w + 4*w.\nAnswer: -689*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101111 (base 2) in base 10?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/(-3)*6\/15*657\/438\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 3:26 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 28*c. Let d(t) = 2*t**2 - 803*t + 5. Let v be d(0). Let z(p) = -9*p - 14*p + 4*p. Give v*g(a) + 7*z(a).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 7*l - 5. Let h be a(8). Suppose h*d + 4*y - 2 = 37, d = -4*y + 21. Let i = 25 - d. What is the remainder when i is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - f = 33, 3*f = -h - 3 - 5. Suppose -14*p + 42 = -h*p. What is the highest common divisor of 174 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/14)\/(3\/(-108)) and -6 + 0 - (-210)\/55.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -177 and 0.1.\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.59319344 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 25 = -0*k. Suppose -5*z = -0*c - 5*c, 4*z = 5*c. Suppose 5*s = z, u - 2*s - s = k. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000073023 to six dps.\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16599 minus 4844?\nAnswer: -21443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-41)\/123 - (-736)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2))**38*(t\/(t\/(t\/((t**(-2)*t*t)\/t))))\/(t*t**(-1\/4)) assuming t is positive.\nAnswer: t**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 (base 7) in base 14?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*2 + sqrt(66))\/sqrt(6))**2*-1.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10209.84nm to micrometers.\nAnswer: 10.20984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*u**4 + 107*u + 3 - 80*u**2 + 2*u**3 - 109*u + 81*u**2 in the form f*u**3 + o*u**2 + p*u**4 + t + g*u and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 556 = 3*x, -37 = -2*x - 3*g + 351. Let h = x - 1690\/9. Let t = -160\/3 - -54. What is the third smallest value in h, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.893616 - 1.339616. Suppose 4 = -a + 3. Which is smaller: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 4*a - 12. What is the units digit of r(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.06 (b) -379752 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80064, 80046, 80014, 79968, 79908?\nAnswer: 79834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*y**3 + 2 - 43*y**3 - 2.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 17*b + 16*b + 44 = 0, -2*b - 32 = -4*i. Solve 9*g - i = 14*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20177311?\nAnswer: 7, 11, 31, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3303*j**4 + 2*j - 11?\nAnswer: -39636*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = g + 9, -1 = 2*g - 3. Let d(s) = -s**l - s + s. Let i(y) = -2951165 + 2951165 + 3*y**2. Determine i(d(z)).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 466 and 0.1.\nAnswer: 46.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 12*v + 72. Let i be d(-6). Solve 3*a = 5*o - 5 - 25, 2*a + 4*o - 2 = i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 11. Suppose 0*b = -d*b + 12. Solve -5*u = -b - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 7*i - 5*p = -31, -86 = -4*i - 2*p. Solve -9*t = i*t - 25*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 - 3*b**2 - 3*b**2 + 20 + 5*b**2 - 20 + (-45 + 5*b + 45)*(2*b - 4*b + 3*b) as d*b + w*b**2 + c and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2)*2*5.\nAnswer: 1 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 160 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-37)\/(m\/(m**(3\/7)*m)) assuming m is positive.\nAnswer: m**(-256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9058 = 5*c - 2*u, -11*c + 8*c + 5432 = -4*u. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(n + 1 - 1) - 2*n - 2*n + 5*n + (3*n - 4*n + 2*n)*(4 - 4 + 18) + n - 2*n + 0*n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 122962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.984 - 0.016. Which is the nearest to 0.2? (a) -1 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 537.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 6863*b. Let n(a) = -3*a - 82. What is k(n(h))?\nAnswer: -18*h**2 - 21573*h - 576214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 144 and -154.9?\nAnswer: -22305.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 1:45 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 115 + -148 + -69 + 193\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 + 2*j - 11. Let z be s(-8). Let u = 532 - z. Is (u - 1) + 4 + -8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221221200 - 11?\nAnswer: 1221221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3124002010 (base 5) in base 13?\nAnswer: 145661a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/7 + 53595*q**2\/7 + 107181*q\/7 + 53589\/7.\nAnswer: 3*(q + 1)**2*(q + 17863)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and -438.72033?\nAnswer: 9213.12693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from zjz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-188)\/(-141)*91\/156)\/(7\/3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 2*a + 4. Suppose 0 = -3*l + 4*l + 5. Let z(g) = 4*g**2 - 5*g + 9. Let w(s) = l*d(s) + 2*z(s). Differentiate w(x) with respect to x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14145, 15378, 16611, 17844?\nAnswer: 19077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 16. Suppose 5*f - 3*h = 71, 0*f - 4*h = 2*f - 18. Let y be c(f). Let u be y - -4*3\/6. Which is bigger: 2\/33 or u?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 4. Let s be z(-3). Suppose 0 = -b + 5*m - 14, -s*m - 1 + 14 = -2*b. Is b < -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 d when four letters picked without replacement from {k: 9, d: 6, j: 2}.\nAnswer: 27\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/2, -14\/211, 5\/602, -2.\nAnswer: -2, -14\/211, 5\/602, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = 15 - 23. Solve 3 - b = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.06 + -6.04. Let f = 9 + -18. Let k = f + 6. What is the third smallest value in k, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + 2*r**2 - 6*r)*(0 - 2*r + 0)*(-2 + 2 + 2*r).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(4\/13))\/b*(b**9*b)\/b*b\/(b**(3\/4)\/b)*b**(1\/6) assuming b is positive.\nAnswer: b**(1673\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*u + 8, 2 = u - 0*u. Suppose -a = -p - 4. Solve 0 = 3*f - a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(325) + 0)**2 + -2 + sqrt(325)*1 - 2*(-1*sqrt(52) + sqrt(208) + 0).\nAnswer: sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d\/d**(2\/3))\/d))**(-2\/37))**(2\/21) assuming d is positive.\nAnswer: d**(-8\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, -1, 0.2, 0.5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 8:19 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5 = -109. Calculate the remainder when m is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = 9*p - 4*y, 5*p + 39 - 5 = 5*y + 8 - 39 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 35526*f - 28244*f + 12418*f.\nAnswer: -51352*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1078046 (base 11) in base 13?\nAnswer: -50cb46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2083.\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*q + 3 = 0, 0 = t - 2*q + 24 - 56. Calculate the common denominator of -3\/1174 and t.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (147\/49)\/((-3)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 605670071 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*i + 42 = -i, 2*i = -3*c + 10. Suppose 2*g + c = 18. Let h = 10 - g. Which is smaller: 3 or h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16794 is divided by 7580.\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*r - 8463 = -20*r + 111*r for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 155.41 + -154. Let i = z - 0.41. What is the nearest to 0.2 in 3, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-9))\/(3\/549). Let d = g + -35. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134 + -134.14. Do g and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.121234711 - -0.841235821. Let j = 0.72 - h. Round j to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 - 4*l + 10. Let o(p) = 13*p**2 - 14*p + 29. Let n(h) = 7*g(h) - 2*o(h). Let y(v) = -3*v**2. Give y(n(z)).\nAnswer: -12*z**4 - 144*z**2 - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 3*q**2 + 8*q - 11. Let z be t(4). Suppose 2*v = 5*s + 2100006, -z*v + 1260015 = -2*s - s. What is s rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*u = -11, -3*u = 3*s - 7*s + 1. Let v be (-2)\/s - 22\/(-28). Let o = -52 + 52.4. Which is the biggest value? (a) 5 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 104016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**2 + 3885*m - 8. Let g(k) = 6*k**2 - 3887*k + 9. Give -7*f(b) - 6*g(b).\nAnswer: -b**2 - 3873*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 2*v + 22, -v - 29*c = -27*c - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 19*f**2 + 21*f - 427. Determine q(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 3. Calculate w(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.06 (b) 3 (c) 8 (d) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 a when three letters picked without replacement from afffafaffafa.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4770*x - 3392. Calculate the remainder when j(-2) is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37ba6 (base 13) to base 8.\nAnswer: -311221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -29\/7, 2\/215?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -35*f + 105. Let u be n(3). Find d such that 9 + 2*d**2 + 62 + 11 + u*d**2 + 84*d = 0.\nAnswer: -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4707*w - 4731*w + 9451*w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 i, and 1 v when four letters picked without replacement from zqzvzizzlqooiliqzz.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 42*g + 64. Let c(h) = -14*h - 24. Let a(q) = 8*c(q) + 3*v(q). Let o(z) be the third derivative of z**4\/24 + 2*z**2. Give o(a(d)).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (3 + -10 + 4)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -7079460\nAnswer: 7079460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.258 - 28.28. Let g = -23 - h. Let c = g - 4.422. What is c rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -86, -5, 3, 4, 48 in descending order.\nAnswer: 48, 4, 3, 1, -5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1485256 and 101\/536.\nAnswer: 1485256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.964 + 15. Round n to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 3:07 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*2\/(60\/(-18))*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.06 = 85.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-2) - 3 - -3. Suppose w + 3 = d. Suppose -w*t - 3*t + 130 = 0. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5257\/11 + 43256\/77. Let p = 84 - b. Let y = -0.24 + 0.14. What is the second biggest value in y, p, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 74*n**2 - 20*n - 48. Let l be w(2). Let c be (2 - 0)*-1 - -18. Calculate the highest common factor of l and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -6)\/8 + 30\/44. Let m = -0.2 + 0. Sort j, m, 0.4 in descending order.\nAnswer: 0.4, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -3)\/(2\/(-1 - -2)). Let h(m) = -7*m + x*m + 4*m + 0*m. Let j(f) = -5*f. Give j(h(z)).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = -14 + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2 (c) -10 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101101100110 (base 2) in base 12?\nAnswer: -8972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -54 - 2395a?\nAnswer: -239ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -19*q + 17*q + 10, 0 = 2*b + 12. Find p, given that -1\/4*p**3 + 1 - q*p + 5\/4*p**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000 (base 2) to base 3.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1802 or 1810?\nAnswer: 1810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2\/11 - 6322*a\/11 + 37860\/11 = 0.\nAnswer: 6, 3155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1733 + 1792. Calculate the highest common factor of 413 and u.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2014*a*i**3*t + 2*a*i**3 - 7*a*i**2 + a*i*t - 32*i**2*t - 2*i**2 wrt i.\nAnswer: -12084*a*t + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 4)\/(2\/14). Suppose r*f = 2*f + 395. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -153 + 604. Suppose -4*u - l = -3*c, 5*c + 2*u = 37 + 758. Suppose 0 = 3*g - c - 95. What is the highest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5221*b**3 - 2724*b**2 + 681. Let r(u) = 2*u**3 + 4*u**2 - 1. Determine -681*r(o) - y(o).\nAnswer: -6583*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1632 = 118. Suppose -965 = -8*r + u. Suppose -r = -4*w + 2. What is the remainder when w is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 21. Let b be g(0). Suppose -25 = -5*r, h + 5*r = -1 + b. Is (-2)\/h - 2178\/(-55) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -30. Let v(j) be the third derivative of -j**5\/60 - j**4\/2 - 5*j**3\/6 + 5*j**2. Let s be v(r). Put 4, 2, s in descending order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 5*d - d)*(d - d - d**2 - 16*d**2 - d**2 - 15*d**2 + (-d**2 + d**2 - d**2)*(3 + 2 - 3)).\nAnswer: 70*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.028, -0.6, -294 in increasing order.\nAnswer: -294, -0.6, 0.028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 7:15 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**(1\/62))**46 assuming u is positive.\nAnswer: u**(-23\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6614*j + 4126*j - 2340*j + 342350 = 50*j for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 90, 597, 1972, 4647, 9054, 15625, 24792, 36987?\n\"Answer: 72*r**3 + 2*r**2 - 3*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-18)*(84 + (-21)\/7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**4 + 455*u**3 - 24530*u**2 - 1820*u + 98040 = 0?\nAnswer: -129, -2, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 3 + 3*g + 0*g. Suppose 2*c = -2*c + 4*x + 28, -2*c = 2*x + 6. Let q be s(c). Is 2 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 - 118348*i\/3 - 355042\/9.\nAnswer: -2*(i + 1)*(i + 177521)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 18*y - 63. Let q be p(13). Differentiate -44 - 662*g - 661*g - 71*g**3 + 2*g**q + 1323*g with respect to g.\nAnswer: -213*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 8:27 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -5, -3, 4, 0 in descending order.\nAnswer: 24, 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 115 = -4*t, -5*v + 2*t - 145 = -0*v. Let x(k) = -k**3 - 5*k**2 + 8*k + 7. Let j be x(-6). Let a = j - v. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 75 = 4*f. Let a = f + -20. Suppose -4*i - 10 = i. What is the nearest to 1 in -1\/4, a, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 11:53 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -3, -4*r + 21 = -4*q - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 - 21931*g**2 + 10*g + 5 - 2*g**3 + 15 + 0*g**3 + 21931*g**2 as n*g + a + b*g**3 + c*g**4 + k*g**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7869, 31248, 70133, 124524, 194421?\n\"Answer: 7753*h**2 + 120*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = 40 - 54 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*g - 31*g + 2873174 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/2*(-46)\/(-4). Let y = p - 11. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 3\/91 (c) 6 (d) 0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -155, 2, -3\/8, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3413503*l**3 - 58261950.\nAnswer: 10240509*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 51 - 9 = 2*i, -2*x + i - 47 = 0. Let s = -3 - x. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -8253?\nAnswer: 8251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 1621 = -29*d + 865 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 - 7)*(-567 - 708 + 1140)*(x + 5 - 5).\nAnswer: 2025*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24580 is divided by 325?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 56*t + 1. Let u(b) = -1235*b + 2573. Let o(r) = u(r) + 3*v(r). Find the first derivative of o(a) wrt a.\nAnswer: -1067","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*p + 31978, 5*o + 9*p = 192888 - 32886. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6553 or -1264?\nAnswer: -6553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5503, -10977, -16451, -21925, -27399?\n\"Answer: -5474*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -539\/288672 - -1\/1164. Is 1 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (1 + 9 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1692658 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 38*c - 17*c + 38*c - 21.\nAnswer: 59*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.18 (b) 4 (c) 32\/1239 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014163 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3270a + -14?\nAnswer: -32723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*(sqrt(5) - sqrt(15)\/sqrt(3)) + (3*-3*sqrt(180))**2)*-1.\nAnswer: -14575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2088 = -73*o + 1489 for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/28742 and -25\/6159.\nAnswer: 86226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -70, 21865.15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -308 at least -307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -6. Let s = -16 - -15. Let n be (s + t - 4)\/(-1). Solve -2*w - n = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28176931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121.9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 291 + -243. What is the least common multiple of 6 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxzo when four letters picked without replacement from ozzuxoxuzdxouzxd?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004 - (4 + (-15 - -8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - h + 2*t - 3, 3 = h - t. Suppose 2*m - 5*z = 183, -m = -h*m - 3*z + 223. Let g = m + -86. What is the smallest common multiple of g and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -265, -547, -827, -1105, -1381?\n\"Answer: f**2 - 285*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + 7 - w**2 - w**4 - 19 + 8 to the form o*w**2 + i*w**3 + m*w**4 + t*w + g and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (186\/(-9))\/(2\/3). Let j = 1 - h. Let u = -20 + j. What is the smallest common multiple of 6 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a milligram in micrograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**5\/30 - 3*k**2. Let m(d) = -4*d - 4*d + 17*d. Calculate m(u(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4416 and 768.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n - 23. What is p(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -40.2.\nAnswer: -522.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 + 8*v - 2. Let t be q(1). Suppose 2*s = 4*m + 1 + t, -3 = m. What is the second biggest value in s, 5, 49?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/118, 55.77, -3, -0.4 in increasing order.\nAnswer: -3, -0.4, -9\/118, 55.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -11101?\nAnswer: -101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4638831?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 18583710 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/13 + 134\/26. Let n(i) = i**3 + 2*i**2 - 2*i - 2. Let c be n(-2). Sort q, -4, c in decreasing order.\nAnswer: q, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 9*g - 5*m + 337999, 4*g + m - 1351882 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(40)\/sqrt(2)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-36)\/30)\/((-1)\/(-5)). Let x be (m\/(-15))\/((-3)\/60). Let a = x + 8. Which is greater: -10 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3528542 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 - 9 = 0. Let r(s) = 3*s - 3*s - m*s + 4*s. What is r(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 5*x**4\/2 - x**3 - 31*x + 86. Find the first derivative of r(w) wrt w.\nAnswer: 30*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*((r*r**17*r)\/r)\/r)\/(r*r**(4\/11)\/r*r))\/((r\/(r\/(((r\/(r\/r**(30\/13)))\/r)\/r)*r))\/r*r\/r**(-2\/9)) assuming r is positive.\nAnswer: r**(23303\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221221000120 (base 3) to base 2.\nAnswer: 110000000000101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - 1.4. Let u = x + 1.8. What is the third biggest value in u, -5, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*p - 18, -2 = 4*o - 2*o. Suppose -3*y + 2*x = -y - 6, p*y - 31 = x. Solve 2*i + 2*u + y = u, 1 = 4*i - 3*u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14737.6 + 15.5.\nAnswer: -14722.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 19*p**2 - 8*p - 8. What is v(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6677968 is divided by 834742.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 9) to base 12\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1960864 is divided by 1936.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/2 (b) 5\/16 (c) -2\/9 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-2 + (-5)\/(-2)). Let m = o - 1. Is m >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 32057*x**2 + 5*x - 50. Let n be f(5). What is n rounded to the nearest ten thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123076809 is divided by 1282050?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + 0.5. Let d = l + -9.9. Let w = 59\/265 + -33\/53. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 + 18*j - 6. What is the remainder when 38 is divided by k(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b = -32. What is the units digit of -1 - -3*b\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 186708, -1\/11, -5, 2 in decreasing order.\nAnswer: 186708, 4, 2, -1\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36344*b + 1 - 36343*b - 1 - 36353*b + 109033*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a60464 + 97?\nAnswer: a60550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.0827*0.2\nAnswer: 0.01654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1330 and 2204.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**3 + 13*m**2 - 5*m + 36. Let p be g(-3). Sort -0.3, p, 4\/7, 2, -4 in increasing order.\nAnswer: -4, -0.3, 4\/7, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (1 + -2)) + 2. Suppose t*z + 3*o + 4 = 5, -3*z + 4*o = -27. Suppose 6 = -z*h + 16. Solve h*p = -p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55 + -621?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cddr when four letters picked without replacement from {d: 2, c: 6, r: 4, j: 1}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16277 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22*250\/6600)\/(1\/(-30))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.486864 nanograms?\nAnswer: 0.000008486864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 34\/(-4) + 24\/6.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-5) + 159*56\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001110011 + -10100110111010?\nAnswer: -10001101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -209*g**3 - 2*g**2 + g - 4. Let v(j) = -1045*j**3 - 11*j**2 + 6*j - 22. What is 11*t(h) - 2*v(h)?\nAnswer: -209*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*n**2 - 7*n**2 - 37*n**2 - 110 - 68*n**2.\nAnswer: -n**2 - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = c - 3*k - 632, 2*c = 5*k + 302. Suppose 0 = 4*r + 2*h - 90, -5*r - 4*h + c = 47. Calculate the remainder when (2 - 20)*7\/(-3) is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1970, 3179, 4388, 5597?\n\"Answer: 1209*h + 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaoaoboaaababbbba. Give prob of sequence ba.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15197 + 15649. Calculate the greatest common factor of j and 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 3:12 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 - -2.07. Let u = -66 - -68.8. Let y = -7.8 + u. Is y at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 878*j**4 - 231*j?\nAnswer: 10536*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/40145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -b747?\nAnswer: b743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v + 3. Let d be (9\/(-15))\/((-3)\/15). Let a be g(d). Suppose m - 5 = -1. What is the greatest common divisor of m and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 7*k + 195 = 0. Let g = k - -22. What is the remainder when 154\/6 - 4\/6 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-10)*(-20)\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/270)\/((-11)\/(-9482)) + -16?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)*2 - sqrt(72))*3)\/sqrt(144))\/(-3*(((sqrt(18) - sqrt(72)\/sqrt(4))\/sqrt(2) - sqrt(9)) + sqrt(72)\/sqrt(2))) + 2.\nAnswer: -sqrt(2)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -13. Do p and -5\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6366719 (b) 0.05 (c) 2\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 19*v**2 + 6*v - 9. Let k(r) = 6*r**2 + 2*r - 3. Suppose 8 = -2*s + 4*w, 3*s + w = 9 - 0. Let q(l) = s*y(l) - 7*k(l). Give q(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 172*d. Let s(y) = 2*y**2 - 177*y + 4. Give s(c(z)).\nAnswer: 59168*z**2 - 30444*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 3*g + 16, -3*t - 2*g + 432 - 148 = 134 + 135 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-4)\/15)*38\/(-190)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53503 or -6\/457?\nAnswer: 53503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*y**2 - 179*y**2 - 170*y**2 - 164*y**2 + 905*y**2 - 205*y**2.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:26 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 1, 0.24, -6.\nAnswer: -6, 0.24, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*f - 39, 0 = 4*f - 0*f + 12. Let y = w - 6. Suppose -y*k = -13 - 3. Solve 0 = r + 4 - 3, -2*r = -3*n + k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from {p: 5, f: 1, o: 2, v: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -937 (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -19*l**2 - l + 2. Let f be w(1). Let d = f - -46. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x - 4*h + 68 = 0, 3*h = -4*x + 259. Suppose 0 = -x*o + 66*o. Solve 4*l = -o + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x + 10. Let y(i) = -28*i - 27. Let t be y(-1). Let j(l) = -l. Give t*d(g) + 6*j(g).\nAnswer: 2*g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6281390 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: Let r(z) = -z**3 - 5*z**2 - 4*z - 3. Let y be r(-4). Let g(o) = -2 - 2*o - 2 + 4*o. Let i(u) = 3*u - 5. Give y*i(m) + 4*g(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = m + 4*m. Suppose 3*h + 13 = -4*g + 40, -2*h + 20 = 2*g. Calculate the highest common factor of m and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 4*m, 5 = 4*b - 17*m + 18*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from ggqfoggogqgokgog.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1469 take away 13?\nAnswer: -1482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/6)\/(((-374)\/(-51))\/(-22)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98798296577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**4\/3 + 2512*b**3\/3 - 7612*b**2\/3 - 25144*b\/3 + 20192 = 0?\nAnswer: -631, -3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402422?\nAnswer: 2, 201211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 2*q - 5. Let m(t) = -t**3 + 25*t**2 + 27*t - 23. Suppose -26 = -98*r + 97*r + 3*a, 5*r - 130 = -5*a. Let p be m(r). Calculate c(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 3:32 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/10 and -27\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -6, 0.5, -3, -7\/68?\nAnswer: -7\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((d + 0*d + d)*(0 + 2 + 0) + 133*d - 362*d - 173*d)*(-d**3 + 4*d**3 - 4*d**3) as m*d**3 + g + j*d + v*d**2 + n*d**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -424726198779231 + 5.\nAnswer: -424726198779226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4, -4, -16, -32?\n\"Answer: -2*m**2 - 2*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-4)\/(-12)*3\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 46 - 8*x + 12 - 31 - x**2 - 13*x. Calculate v(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, -2, -28 in increasing order.\nAnswer: -28, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285895 is divided by 95274?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*p - 18, 3*p - 4 = -w - 0*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-1\/7)\/v*v)*(v\/(v*v*v**3*v))\/v*v)**10 assuming v is positive.\nAnswer: v**(-340\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**5*z**2 - 27*i**3*l*z - 6*i**2*l*z**2 - i*l*z + 5*i*z**2 - 2*l*z**2 wrt i?\nAnswer: 120*i**2*z**2 - 162*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 29*k - 74. Determine c(-25).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -69617 from -0.17.\nAnswer: 69616.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(637) - -2*(sqrt(637) - (sqrt(637) + sqrt(637)*-2) - sqrt(637)))*3 + -4 - (4 + sqrt(637)*2 - ((sqrt(637) - 1*sqrt(637))*4 + sqrt(637)))))**2.\nAnswer: -896*sqrt(13) + 40832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -25*v**3 + v**2 - v. Let f be a(1). Let p be 274\/(116\/(-203)*7\/(-10)). Find the common denominator of 137\/18 and p\/f*(21\/(-18))\/(-7).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50 + 51\/34*4\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -12*f + 17. Let s(j) = 3*j - 4. Suppose 0*z - 54 = -6*z. Calculate z*s(p) + 2*k(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 226 + -226. Let z = -16 - -27. Sort 1, z, 5, w in decreasing order.\nAnswer: z, 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/49? (a) 1\/7 (b) 5 (c) 2\/19 (d) -3\/19 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.041 + -11. What is p rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006498 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1418506940.\nAnswer: 2, 5, 19, 269, 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13325 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 + -109. What is the remainder when 120 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 458, 440, 418, 392, 362, 328, 290?\n\"Answer: -2*x**2 - 12*x + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*g - 16 = -303*g. Put -1, 20, g in increasing order.\nAnswer: -1, g, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - o + 7. Let t be y(0). Suppose -t*u - 5*v = -2*u - 35, -u + 13 = 3*v. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 8 - (4 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2 - 2)*(-175*a**3 + 35876*a - 35876*a) + (-2*a**3 - 2 + 2)*(2 - 2 - 1)*(2 - 2 - 3*a).\nAnswer: -181*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4088 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3809 - 3811. Put n, 365, -3 in decreasing order.\nAnswer: 365, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 15. Let b(k) = 7 + k - 25 + k**s + 11 + 0*k. Give b(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15504 and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**2 - 2*q**2 - 64*q**6 + 56*q**6 wrt q.\nAnswer: -960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/7*-1*7. Let d be -28*b\/16*-2. Is 70\/d*6\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40300 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m + 22. Let w(g) = 16*g + 46. Let l(d) = 2*r(d) - w(d). Let t(f) = 253*f. Calculate t(l(k)).\nAnswer: -3036*k - 506","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 22 = 43. Solve -v*n - 5*n - 24 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 13*t - 4. Suppose -2*y + 6 + 0 = 0. Does 14 divide s(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 56469, 54782, 53083, 51366, 49625?\n\"Answer: -n**3 - 1680*n + 58150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 44*f**2 - 2375*f - 55. Calculate i(54).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 285\/(-55) - (-750)\/110?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.056 and 4018.\nAnswer: -225.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s + 32*s - 123*s.\nAnswer: -101*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -107, -16, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 15 - 0, -17*q - 1 = -3*v - 10 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 10*b**2. Let a(c) = -12*c**2 - 12. Calculate k(a(t)).\nAnswer: 1440*t**4 + 2880*t**2 + 1440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + j - 2*j + (2*j - j - 2*j)*(-2 - 1 + 2) - 2*j + 7*j + 2*j + 2 + j - 2 + j + j - j + (-5 - 1 + 4)*(-4*j + j + j) - j + j - 2*j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 144\/2413 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 15*i - 55. Let r be t(9). Let b(m) = 7*m**2 - 4. What is the remainder when 43 is divided by b(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/(-14))\/((-1)\/(-14)). Suppose -11*y + 56 = -p*y. What is the greatest common divisor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195505265?\nAnswer: 5, 39101053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-3143.\nAnswer: -628.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 227\/8? (a) -3 (b) -0.6 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33051, -63670, -94289?\nAnswer: -124908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102103 - 130011?\nAnswer: -22403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*a**2 - 174*a**2 + 345*a**2.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 137.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1570 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 3*u**2 - 12*u**2 as t + y*u**2 + p*u and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10543031 (base 6) to base 13\nAnswer: b4a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25795672.\nAnswer: 2, 7, 460637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 4 = -4*y - 3*k, -k = y - 1. Suppose w + 4 = -0*w. Does 15 divide w\/2 + y*34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(104) - sqrt(26)) + sqrt(26))\/(sqrt(6)\/sqrt(3)*4) + -5 + (1*(-4 + sqrt(13) + 5 + 1*sqrt(13) + -3 + 1*sqrt(13)))**2.\nAnswer: -13*sqrt(13) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 161*n - 165*n - 262, 2*m + 5*n - 85 = 0. Calculate the remainder when 1511 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -8 - ((-2 - 2) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58.05 + -58. Let x = -0.67 - -0.22. Let n = x - p. What is the third biggest value in n, 2, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1211360.1ms?\nAnswer: 20.189335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143 + 87. Calculate the remainder when t is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - f**2 - 11*f - 13. Let o be v(-2). Let c(g) = 6*g**3 - 2*g**2 + 4. Let m(i) = i**3 + 2*i**2 - 7*i**3 - i**2 + 3*i**3 - 2. Give o*c(z) - 5*m(z).\nAnswer: -3*z**3 + z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0255 + -51.4255. What is o rounded to the nearest integer?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/8 - (-84)\/112?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 10) to base 16.\nAnswer: -de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1403217171 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72158766.\nAnswer: 2, 3, 12026461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - (-28)\/8 - -2) + (-568)\/16. Let m(y) = 139*y**3 - y**2 + y + 1. Let l be m(-1). Calculate the remainder when l\/6*h\/12 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {v: 1, m: 1, f: 1, w: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662697.126us to weeks.\nAnswer: 0.000001095729375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -13*w**3 + 4*w**2 + w - 6. Let a be p(2). Find the common denominator of -49\/104 and (a\/32 - -3)*970\/15.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -f - 4 + 9, 5*v + 25 = -3*f. Suppose -2*a = 3*q - 26, 3*q - 2*q - 4*a + 10 = f. Differentiate -q*z - 3 + 6*z**3 - 2*z**3 + 6*z with respect to z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-6\/13)*z)\/z**7)\/(z**25)**(2\/43) assuming z is positive.\nAnswer: z**(-3187\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrzn when four letters picked without replacement from nnnnnrnzmmnnnmnnzmm.\nAnswer: 11\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i + 2. Let o be h(5). Let n be ((-35)\/o)\/(2\/8). Suppose 8 = n*k - 42. Solve -3*x + k = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 11:41 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 810732760 a multiple of 790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 10:09 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*m = 342*m - 166*m + 4*c + 51, 5*m = 4*c + 93 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1531 - -1555.92. Let l = 160 + -135. Let z = l - r. What is z rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 5*n - 2 = 44, -5*l = -4*n - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489000 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 43*w = 54*w - 3663 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 2)*((0*b + 0*b - 2*b)*(-2 + 2 + 4*b) - 243*b - 16*b**2 + 243*b) - 2*b**2 + 2*b**2 + 4*b**2 to x + f*b + q*b**2 and give q.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 26*f**3 + f**2 + f - 1. Let c be k(1). Suppose -4*p - 2*s = -p - 19, 0 = p - 4*s + 17. Calculate the greatest common factor of p and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0 = -8. Let h = -7430.8 + 7431.3. Sort 15, g, h, 0.\nAnswer: 0, h, g, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34793560.\nAnswer: 2, 5, 17, 19, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 10790114 = 1734686. Round f to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.5 + 2. Let z = -3 - -2. Let q = z - u. Which is the third biggest value? (a) -1 (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2, 0.24, 0.5, -3?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**2 + 5*m - 1. Let i(v) be the second derivative of -v**4\/12 + v**3\/6 - 15*v. Give -11*i(s) + 2*t(s).\nAnswer: s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(8*n - 12 + 12)*(0*n**2 + n**2 + n**2).\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) 0 (b) -0.1 (c) 2574\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -1\/6*c**2 - 2\/9*c**3 + 1\/6*c**4 + 1\/15*c**5 + 1\/3*c - 1\/18*c**6 - 1. Determine d, given that a(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2755950 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1241 - 781. Suppose -2131 = -3*g - 2*h, -2*g + 970 + w = -h. Is 23 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37901560 is divided by 352.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, y: 3}. What is prob of sequence ypp?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejx when three letters picked without replacement from {n: 2, j: 2, e: 2, t: 2, i: 1, x: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -78645.689 rounded to the nearest one hundred?\nAnswer: -78600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 24 = -s. Let w be (-42)\/(-9) - (-4)\/s. Solve g = w*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6161576?\nAnswer: 2, 431, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in -2, -1, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -1639?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Suppose 2*h - 10*q = -8*q + 16, -3*h = -q - 16. Determine o, given that -4*o**5 + h*o**j - 3 + 3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1088 is divided by 272?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2, 7354, -6.6, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 - 264*v**2 - 526*v**2 + (-v**2 + v**2 - 2*v**2)*(-1 - 3 + 2) + 0*v**2 - v**2 + 3*v**2 to d + n*v + w*v**2 and give w.\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5013537313 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12602 and 37806.\nAnswer: 37806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-2)\/24*2*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -720134, -720199, -720254, -720293, -720310, -720299?\n\"Answer: f**3 - f**2 - 69*f - 720065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279779544, 559559089, 839338636, 1119118185, 1398897736?\nAnswer: 1678677289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61063 + -41616. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 13) to base 3.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -19 (b) -2\/9 (c) -17 (d) -69 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5993 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -55, -118, -197, -286, -379, -470?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 18*z**3 - 7*z**3 - 20*z**3 - 19*z + 34*z**3 in the form x*z + n*z**2 + d + f*z**3 and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 minus 12580?\nAnswer: -12579.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64784 or -64785?\nAnswer: -64784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -41*q + 8 - 17 - 15 - 32 - 23. Give c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r*r**(-9)*r*r)\/r*r*r)**(1\/13)\/(r**(9\/2)\/r*r**3\/r) assuming r is positive.\nAnswer: r**(-149\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 460336729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7875 + 35315. Does 35 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -19347*s - 10. Let z(i) = 3869*i + 2. Determine 2*x(n) + 11*z(n).\nAnswer: 3865*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 3. Let a(j) = j - 8. Let d be a(-7). Let k = d + 7. Let u = k - -14. What is i(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 29.4 and -12.26372.\nAnswer: 17.13628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 29 + 12 - 633*q**2 - 372*q**2.\nAnswer: -1005*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 235987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a = -25*a + 157365. Suppose -2*h + 15003 + 16468 = 5*k, 0 = -5*k - h + a. Is (-4)\/((-18905)\/k + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -16743?\nAnswer: 16742.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**4\/12 + p**3\/2 + p**2 + 116*p + 126. Let v(n) be the first derivative of d(n). Determine v(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142887877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2298 + 3615. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(27\/(-36)) + 5\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-12))\/(6\/(-18)). Let y = -40037 - -40014. What is the closest to y in -5, -1\/5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 65256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109391 a multiple of 466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 4*m**2 + 252*m - 52. Determine b(-19).\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 9:13 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1457*l + 295 + 596 = -566. Let b = -1 + 2. Is b at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-27)*3\/6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/7 + 11*d**3\/7 + 4*d**2 = 0. Calculate d.\nAnswer: -7, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11804 - 7257. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35\/6 + 16\/3. What is the nearest to -2\/5 in 3, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138313 (base 12) to base 7\nAnswer: 2523300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 4:57 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*r - 732 = -748, 10*q - 7*q - 7*r = -40 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 621 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let p(w) = -4*w + 15*w**3 - 907 + 10*w + 2*w**2 - w**2 - 16*w**3. Let y(s) = 5*a(s) - p(s). Is y(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6)*-14 - 3. Which is the second smallest value? (a) 2\/11 (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7086*0.7545\nAnswer: 5346.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -487\/117 + 153\/26. Let j be (87\/(-42) - -2)\/(11\/91674). Let i = -21443\/36 - j. What is the common denominator of i and l?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72391 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36287452\/13 or -2791342?\nAnswer: -2791342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 1 - 0\/1. Suppose 2*y + 0*y - 128 = u. Let j be 4 + (-3 - -18 - 3). What is the greatest common divisor of y and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1801, 16927, 57983, 137935, 269749, 466391?\nAnswer: 740827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0471 - 136.97317.\nAnswer: -136.92607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 5*b. Let f(d) = -d**2 - 15098 - d + 3*d + 15118. Let o be f(b). Calculate the highest common divisor of 8 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2464*p - 4926*p + 2496*p. Let u(z) = -8*z**2. What is u(o(m))?\nAnswer: -9248*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, l: 2}. Give prob of picking 3 x and 1 l.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/(-10))\/((-12)\/16). Suppose -w*g + 3*g - 140 = 0. Suppose 4*b = -q + g, 2*q - 70 = -2*b - 0*q. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 + 8243727*x\/4 - 2060932.\nAnswer: (x - 1)*(x + 8243728)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 21. Suppose 8*l + q = 15*l. Sort l, -4, -0.4 in descending order.\nAnswer: l, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216 divided by 84?\nAnswer: 554\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 786 - 768. Solve -5 = a + b, -2*a + 0*b - i = 4*b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 4. Let p be f(-4). Suppose p = -x - 3*x - 3*q + 19, 4*q = 2*x + 18. Let v be 1\/(0 + x\/4). Solve 0 = -4*j - 0 - v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 42957?\nAnswer: 171828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15106975 divided by -604279\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 492, 687, 882, 1077, 1272?\nAnswer: 1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/(1 - 4). Let a = 83 - 82. Which is bigger: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4035934 + 14307005\nAnswer: 18342939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59\/283631 or -1?\nAnswer: -59\/283631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09449992 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 1. Suppose 2*f = 3 - r. Let b(t) = -t + 1. Let v(k) = -3*k + 6. Let w(g) = f*v(g) + 4*b(g). Differentiate w(s) wrt s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 19*h**2 - 28*h + 283. What is z(-21)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -812640 or 2\/15?\nAnswer: -812640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/12653, -1.07, 33.\nAnswer: -1.07, -2\/12653, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.0548 + -0.0548. Is 3361 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.353566 millennia to centuries.\nAnswer: 13.53566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = z, 3*u = 4*z - 3*z - 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + 0.46. Let v = t + -1.4. Put v, -1\/12, 2 in increasing order.\nAnswer: v, -1\/12, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 2*f**2 + 0*f**2)*(1 - 3 + 4) + (2*f + 0*f - 4*f)*(f + f + f) + f**2 + 2 - 2 + (-2*f + f + 0*f)*(-2*f - 2 + 2).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736468 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 13 = 23 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 5 (c) 10 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28223272 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 9*q - 6319836 = 0, 5*q = -4*w + 4*q + 8426404. What is w rounded to the nearest ten thousand?\nAnswer: 2110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 3*k**2 - k. Let z(l) = -45*l**5 + 107*l**4 - 56*l**3 - 30*l**2 + 15*l + 4. Let f(x) = r(x) - z(x). What is o in f(o) = 0?\nAnswer: -2\/5, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Let d(q) = -4*q - 6*q + 4*q + l*q. Let t(m) = -5*m - 8. Let n(w) = 2*w + 3. Let z(y) = -8*n(y) - 3*t(y). Determine z(d(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410 = 6*z + 368 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 192, 245, 266, 249?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -293294371\nAnswer: -293294371.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((1 + sqrt(1300) - sqrt(1300))*6 - (2*sqrt(1300) + 3 - sqrt(1300))) + sqrt(1300)*2 + 4 + (sqrt(1300) - (sqrt(1300) - (sqrt(1300) + 0)))*1)**2.\nAnswer: 200*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 1:37 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -243.4 + 243. Let f = -17 - -18. What is the closest to -0.1 in -5, l, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 3:10 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j. Let s(f) = -4*f - 4. Let r(b) = -1. Let c(t) = 5*r(t) - s(t). Suppose -4*m - 4*g = -2 - 6, 5*g = -4*m + 12. Calculate m*x(k) - c(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.3 + -3.29927. Round l to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*l**3 + l**4 + 0*l**2 - 2*l**2 - 18*l**3 to m*l + a*l**2 + v*l**3 + s + q*l**4 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3588*d**5 - 7*d**4 - 3*d**3 + 3179*d**2 wrt d.\nAnswer: 215280*d**2 - 168*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177\/208306 or 0?\nAnswer: -177\/208306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**4 + o. Let p(g) = 970*g**6 + 4*g**4 + 1858*g**2 + 2*g. Let q(u) = -p(u) + 2*w(u). What is the third derivative of q(z) wrt z?\nAnswer: -116400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-one fifths of a millennium?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 45. Let u be w(20). Suppose -u*d - 54 = -379. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 41 = 5*f + 18, -63 = -4*g + f. What is the units digit of 70 + (g\/4 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 + 1 = 0. Let y be 2\/(-2) - (d - 4). Suppose -y*f = -6 - 6. Solve -2*u = f*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 25*m - 22. Suppose -208 = 7*k + k. Let q be d(k). Let j(h) = -h**2 + 2*h + 5. Let r be j(3). Solve -q*n - r = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49748 smaller than -49761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 5:28 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2179*d**2 - 1082*d**2 - 242*d + 2 - 1096*d**2 + d**2 + 0*d**2 + 0*d**2 + 3 + 2*d**2 - 3 + d**2 - d + d + (-d + 4*d - d)*(2*d - 2*d + 2*d).\nAnswer: 9*d**2 - 242*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*d - 48*d + 38*d)*(1 - 1 - d**2).\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/746428 and -38\/2052677?\nAnswer: 8210708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84116*m**2 - 42589*m**2 - 3 - 42117*m**2 to d*m + k + u*m**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7233 - -4432. Let l = -16711\/6 - j. Find the common denominator of -69\/4 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 3*r**2 + 2*r - 3. Let u be (-736)\/(-40) - ((-6)\/(-15))\/1. Suppose -7*d - 10 = u. Give n(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 - -2) - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, q: 2, e: 8, y: 3}. Give prob of sequence qte.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38 - (-27 - -3)\/4. Suppose -5*y = -4*i - 49, 6*i = 8*i + 4*y + f. Which is greater: i or -17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75.842 - 8.5563.\nAnswer: -84.3983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 33 = 5*x - 8*b, -5*x - b + 37 = 0. Let k(y) = 4*y - 7. Let z(o) = -6*o + 11. Calculate x*k(h) + 5*z(h).\nAnswer: -2*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p + 5*p + 5784*p**2 - 5778*p**2.\nAnswer: 6*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 70 + -c00?\nAnswer: -b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 4:54 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -16*a**3 + 4*a**2 - 1. Let z(r) = 31*r**3 - 7*r**2 + 1. What is -7*u(w) - 4*z(w)?\nAnswer: -12*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0869634 rounded to 3 dps?\nAnswer: -3.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5380.4*-15024.\nAnswer: -80835129.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, a: 1, n: 12}. Give prob of sequence nt.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176388 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 7*q + 40. Let g = -10 - q. Suppose 4*d = 4 + 16. Solve 5*o + 5*p + 20 = g, d = 2*o - 4*p + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a3 - 2?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -107357600 divided by 2683940\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-9) + (-10)\/(-45). Suppose -4*g + 10 + 17 = 5*q, -2*q - 4*g + 18 = 0. Suppose 0*c = -c - q. Sort 3, t, c in ascending order.\nAnswer: c, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31013 (base 5) to base 11\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89\/7 + -87\/7. Put -8, 0.5, h in decreasing order.\nAnswer: 0.5, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.053*0.359051.\nAnswer: 0.019029703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 594 divide 50157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - 6 - (-12 + 17 - -3) - -8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 242.9045 + -243. Round t to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 269 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3776.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 3. Let y(z) = 8*z - 51. Determine 4*d(r) + y(r).\nAnswer: 4*r - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3692 and 379.1?\nAnswer: 4071.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121010120 + 110120122?\nAnswer: 1001201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**7\/105 - z**6\/20 - z**5\/10 - z**4\/12 - 2*z**2. Factor o(n).\nAnswer: -2*n*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3\/4, 0.1, -3860\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.07, 1, 20.74, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/4*1*24\/(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 5849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nngbngngun. What is prob of sequence bg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -690, -2\/5, 0.4 in ascending order.\nAnswer: -690, -5, -2\/5, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 66 and -225.2.\nAnswer: -159.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27915462*h**3*q**3 - 54*h**3*q**2 - 56*h**3*q - 3*h**2 - 3*h*q**5 + 4*h*q + 12*h - q**2 wrt q?\nAnswer: -167492772*h**3 - 180*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - ((-5)\/((-15)\/6))\/(-1). Sort 0, -25, w, -1.\nAnswer: -25, -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.5. Let s = m - 0. Let r = -1 + 0. What is the closest to s in r, -5, -4\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**2 - 20546*y + 20500*y + 4*y**2)*(-4*y + 3*y + 3*y) to w*y**3 + m*y + x*y**2 + r and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -10*m**2 + 5074*m - 5074*m. Let q(d) = -7*d**2. Give q(g(t)).\nAnswer: -700*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/11)*d)\/d*d*d**(-9)*(d**2)**31)\/((d**0)**(-16)*(d**1*d)\/(d\/(((((d\/(d*d**5*d)*d)\/d)\/d)\/d)\/d)*d)) assuming d is positive.\nAnswer: d**(703\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven eighths of a minute?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 12:34 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1004780062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.03945 decades to months.\nAnswer: 1564.734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/7*z + 3\/7*z**2 + 6\/7*z**3 + 6\/7.\nAnswer: 3*(z - 1)*(z + 2)*(2*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 divided by -515273?\nAnswer: 188\/515273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 3.536.\nAnswer: -14.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*y - 80 = 0, -5*y - 47 - 14 = -4*i. Let w = 23 - i. Calculate the remainder when 6 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 6*b**2 + 2*b - 4. Let t be k(-6). Let i = 110 + -44. Calculate the remainder when i is divided by (-296)\/t + (-1)\/(-2)*-3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 10*f**2 - 8*f - 9. Let t be n(9). Let i(y) = y**2 + 2. What is i(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 36*f**5 - 8*f**4 - 792*f**3 - 688*f**2 + 1812*f - 360 = 0.\nAnswer: -3, 2\/9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 5:59 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x + 10. Let h be j(13). Suppose -2*r + h + 29 = 0. Calculate the greatest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -2, 13\/3, -166?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-196))\/((-9)\/21)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 45 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvr when four letters picked without replacement from {v: 4, c: 2, r: 8}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61 in 0.2, -2\/195, 6, -4, -17?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.289827334 to 2 decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/5 + 61*f**4\/5 + 721*f**3\/5 - 1701*f**2\/5 - 4698*f - 40392\/5 = 0. Calculate f.\nAnswer: -44, -17, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289988*g = 290001*g + 195 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*l, -12 + 5 = -5*t - l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - c**3 - 29*c**3 - 219*c**2 + 219*c**2 + (0*c + 0*c + c**2)*(3 - c - 3) + 2*c + 2*c**3 - 2*c.\nAnswer: -29*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 425?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13188055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-10 - -7)) + -68 + 4 + 1 + -6\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10644 - 31930\/3. What is the closest to 0.2 in -63, -0.02, m, -3\/5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -3*d**2 + 1\/42*d**7 + 0*d + 3\/2*d**5 + 20\/3*d**3 + 0 - 7\/24*d**6 - 25\/6*d**4. Factor r(c).\nAnswer: 5*(c - 2)**3*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/5 + (-12)\/20. Let r = -3 + b. Let n(c) = -8*c**3 + c**2 - 1. Calculate n(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69810 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1454*i**3 + 35 - 707*i**3 - 35 - 744*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -15*g + 18*g**2 - 21*g**2 - 20 - 11*g**2 - g**3. Give h(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -235, -345, -455, -565?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/628 + -861\/1570. Calculate the common denominator of 119\/190 and l.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7814614 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 41*y**2 + 79*y - 27. Let f be c(39). Solve f = -4*h, -4*m + h - 2 = 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 4. Let j = 15 + -15. Suppose j = 2*b - 1 + 11. Let w(p) = 2*p + 9. Let c be (-4)\/4 + 2\/(-2). Calculate b*f(y) + c*w(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -105*s**3 + 3*s**2 - 118*s + 113. Determine k(1).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 5. Suppose -4 = 2*a, 3*n - 5*a + 6 - 25 = 0. What is the remainder when w\/n - 142\/(-6) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5*n - 639*j**3*n - 8*j**2 + 2*j*n + 10*n wrt j.\nAnswer: -120*j**2*n - 3834*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 4. Suppose -12 = -12*l + 12. Suppose 0 = -m - l*z + 1, -2*z - 3 - 3 = 0. Give i(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -55, -1040 in ascending order.\nAnswer: -1040, -58, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 466*f**2 + 12*f. Let x be s(3). Suppose -7*q - x = -16*q. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1347 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.3605 decades in centuries?\nAnswer: 19.03605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34690671*b*m**2*o**3 - 2555*m**2*o**3 + 3*m**2*o**2 + 4*m**2 + 6*o wrt b.\nAnswer: -34690671*m**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-7*13\/1365.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 29064842*q - 58129683\/2.\nAnswer: -(q + 1)*(q + 58129683)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 547339.5 millennia in months?\nAnswer: 6568074000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 15*d**2 + 20*d - 81. Let y be u(14). Suppose 0 = -5*g + n + 35599997, -y*g - 5*n + 14240015 = -g. Round g to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1191 - 1230. Sort 4, a, -0.06 in increasing order.\nAnswer: a, -0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -315 + 446. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 68*v**2 - 91*v + 1962. Is l(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 2*s + 4. Suppose c = 4*c + 9. What is the remainder when b(-3) is divided by (-2)\/c - (-37)\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 17 + 8 = 0. Suppose -285 = 82*z + 453. Sort c, -1, z.\nAnswer: z, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 14487 + 308500. Suppose -a = -155987 - t. What is a rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f + 1. Suppose -2 = -f*v - 2. Suppose v = 7*l - 803 - 604. Is 25 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/(-1) + -38)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/172150 and -57\/110.\nAnswer: 172150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, -11, -10169 in descending order.\nAnswer: 6, -1, -11, -10169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 550 divided by 110\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:25 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/12)*f\/(f\/f**11)*f assuming f is positive.\nAnswer: f**(145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 9. Let l = 10 - d. Suppose 57 + 247 = -l*p. What is p rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**4 + 5*u**4 + 7 - 1 + 0*u**4 + 2*u**4 - u**4 - 2*u**4 + 4*u**4 + 5*u**4 + (-u**2 - u + u)*(2 + 2*u**2 - 2) + (-2 + 2 - 2*u)*(u**3 + 3 - 3).\nAnswer: 3*u**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6}. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 4*f + 5. Let h be ((-100)\/(-12) - 3) + (-18)\/(-27). Calculate a(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -160 - -187. Find n such that -69*n**3 + b*n + 138*n**3 - 72*n**3 = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11149633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 31 = 46. Suppose 3*c + 8 = -2*n, 3*n + o = -5*c - 3. Solve -n*a - 2*i + 3 + 5 = 0, -i = 3*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.83 - 24. What is m rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -132*q**2 + 22*q. Let n(b) = -19*b**2 + 3*b. What is -22*n(k) + 3*x(k)?\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 41 + 1\/10*f**5 + 0*f - f**2 - 25\/24*f**4 + 1\/120*f**6 + 3*f**3. Factor y(a).\nAnswer: (a - 2)*(a - 1)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 503.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601284 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 15 = -2*g, 3*g - 2*g - 12 = -5*w. Let o(d) be the second derivative of d**4\/6 + d**3\/6 + d**2\/2 - 44*d. What is the units digit of o(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a factor of 212715818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j + 5. Let c be q(0). Suppose -c*v + 1138 = -3447. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -2675\/5651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + -3110221?\nAnswer: -3110123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3938 - 3883. Solve -3*f = o - 8, -3*f = 57*o - y*o - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2 - 12945*t = 0. What is t?\nAnswer: -12945, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99 + 0.09047.\nAnswer: 99.09047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18322 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -30 + -15 + 63 - 44\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16427 (base 8) in base 2?\nAnswer: 1110100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 147.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2415677?\nAnswer: 11, 219607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = -19*l - u + 210, 4*u + 83 = l. Suppose l = 5*v + 61. Solve -2*d - 2*r + 14 = -d, 4*r - 12 = v*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.06, 0.8, 7, -3\/4, -158, -17?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*s - 27720 = -168*s. Calculate the greatest common divisor of 336 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 - 10001110?\nAnswer: -10100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -610 - -1060. Let m = p - 408. Let g = -95 - -138. Is m less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/12)*y)\/y**4)**13 assuming y is positive.\nAnswer: y**(-455\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*i + 25, 0*v + 2*v - 2 = 0. Let s(l) = 3*l**3 - 87 - 3*l**2 - 4*l - l**2 + 162 - 2*l**3 - 82. Give s(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3267 - 1919 = 194*i + 2380 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.18 in -1\/10, 0.019, -3\/7, -4, 2?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2960a615 + 0?\nAnswer: 2960a615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2. Let b(w) = 69*w + 1 + 19*w + 0 + 0 - 9*w. Calculate o(b(v)).\nAnswer: -24964*v**2 - 632*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/5)*k*k**(-2\/7))\/(k**0)**(-1\/7)*(k*(k**(-4\/3)*k)\/k*k)\/k**7*k**4*k\/(k**(-2)*k) assuming k is positive.\nAnswer: k**(19\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**5\/20 + r**4\/4 + 3*r**2\/2 + 2*r. Let k be y(-3). Let o = 19 + -17. Solve -k = -3*h + o*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 76.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 7*f = -14. Let v = -10 + 1. What is the remainder when 4 - v - 2\/1 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p - 10 = 0, -m - 359 = -p. Let f be 3 + m\/(-3) + 4\/6. Suppose -5*i + 156 = -f. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 3. Let j be r(-6). Suppose c - 15 = b, -7 = j*c - 5*b - 44. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -36*x**2 - 1. Let w(o) = 15*o - 13. What is r(w(i))?\nAnswer: -8100*i**2 + 14040*i - 6085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 3*w**2 + w + 2. Let j be b(-3). Calculate the remainder when 18 + (-1 - (0 - 3)) is divided by j\/(-2)*(0 + 14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*a - 136*a**3 + 71*a + (3*a**2 + 3*a**2 - 3*a**2)*(-a + 2 - 2) + (-3*a**3 + 0*a**3 + a**3)*(-3 - 1 + 0).\nAnswer: -131*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 600 divided by -10\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*q**2 + 4*q**4 - 2*q**3 - 8*q**2 - q**2)*(0 + 4 - 3) to w*q + r + c*q**3 + o*q**4 + x*q**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20)\/(((-32)\/(-3))\/(-32))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3 (b) 0.4 (c) 2\/9 (d) 37\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5142 not equal to 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1037580, -2075126, -3112672?\n\"Answer: -1037546*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-10))\/((-9)\/96). Let c = 19 + j. Sort 5, c, -4 in descending order.\nAnswer: 5, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302693580.\nAnswer: 2, 3, 5, 7, 34319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 74 - b**3 + 10*b**2 - 42 - 6*b - b**3. Let k be c(5). Solve k*f - 4*o = -3*f + 24, -o + 11 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -31.4. Let w = 0.6 + y. Let z = -0.02 + 4.02. Which is the closest to z? (a) -3 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -160\/3 + 164\/3. Which is the smallest value? (a) 1 (b) z (c) 343\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**(-2\/3)\/a)\/a)*a)\/(a**3\/a))**2\/((a\/a**(-2\/5))**(-4\/9))**(-18\/5) assuming a is positive.\nAnswer: a**(82\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -16*4\/(-8) + 4. Let x(u) = -2 + u + 1 + 0*u - u**2. Let y(n) = 5*n**2 - 4*n + 4. Let w(g) = o*x(g) + 3*y(g). Let k(t) = t. Determine k(w(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 5\/7, -2\/11, -1\/5, -2\/7 in decreasing order.\nAnswer: 29, 5\/7, -2\/11, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1981582 or -1981580?\nAnswer: -1981582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2 + 3036*q - 21448 = 0. Calculate q.\nAnswer: -766, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(14 - 15)*1*2. Let y(d) = d - 2. Let j be y(4). Let h(v) = j + r*v - 3*v**2 + v**3 - 2*v**2 + 0*v**3. Determine h(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -405, -4476, -11265, -20772, -32997, -47940?\n\"Answer: -1359*v**2 + 6*v + 948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -53a - 0?\nAnswer: -53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5277 + 5276.8. Let p be (-2)\/((-14)\/(-9)) - -1. What is the nearest to 0 in t, -5, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 38*c**2 - 100*c + 174. Give f(-35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4*v**4\/9 - 34*v**3\/9 - 4*v**2 + 190*v\/9 + 100\/9 = 0.\nAnswer: -5, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -21*l**3 - 32*l**2 - 59*l + 9. Let k(z) = -5*z**3 - 8*z**2 - 15*z + 2. Let d(i) = -26*k(i) + 6*x(i). Find the second derivative of d(r) wrt r.\nAnswer: 24*r + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-56)\/70 + (-5247)\/(-15). Let u(w) = w - 349 + j. Let y(b) = 4*b. Calculate y(u(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-15))\/((-1)\/(-73400)). Suppose n - 4*n - 635760 = 0. Let o = n + u. What is o rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -603.\nAnswer: -2412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 210.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*j = -378*j + 2652 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/21, 4, 1351.9, 0.4, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105518 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (2 - -32) - (-25 + 4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 5 - 20 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.2, 0.3, -13321?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2739*m - 70313*m**2 - 2739*m.\nAnswer: -70313*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22104.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/142 and -127\/18.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125131 + 2?\nAnswer: -125127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*u**2 + u - u)*(-u - 5*u + 2*u + (2 + 1 - 2)*(2*u - 1 + 1)) in the form p + n*u + c*u**3 + j*u**2 and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 601736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 15*a + 8. Let c be h(8). Calculate the greatest common factor of 80 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = 68 - 60 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 2 - 2. Let i(j) = 18*j**4 + 56*j**3 - 19*j**4 - 6 + 15*j**4 + 20. Let b(q) = i(q) + 56*m(q). Differentiate b(a) with respect to a.\nAnswer: 56*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, z: 12, l: 2}. Give prob of picking 2 d and 2 z.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*m**2 - 56*m**2 - 10*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*c - 6, k + 2*k = -4*c + 5. Let y(a) = -5*a + 6. Determine y(k).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 2\/9, 1, -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 13*h**2 + 2*h**2. Let g(d) = -197264*d**2 + 98635*d**2 + 98631*d**2. Determine q(g(f)).\nAnswer: -48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28478, -28785, -29092, -29399, -29706?\nAnswer: -30013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-252)\/182) - (3 - (-5 + 4))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 + w**2 + w + 1. Let j = 221 + -60. Suppose -j + 158 = 3*n. Let h(a) = a**3 - a - 1. Give n*f(s) - h(s).\nAnswer: 2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3057\/6 - 3\/2. Suppose -2*m = -4*f - v, 523 = 4*m - 2*f - 487. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 0*w + 56 = 0. Solve h + 0*z = 4*z - w, -5*h + 18 = -z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -13*q + 30. Let s(l) = 14*l - 34. What is 3*i(n) + 4*s(n)?\nAnswer: 17*n - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 0.1078.\nAnswer: -0.06468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.26 - 0.66. Put -2\/21, -1\/4, u in descending order.\nAnswer: -2\/21, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*z**4 + 82*z**3 + 57*z**2 + 1538*z - 99?\nAnswer: 948*z**2 + 492*z + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**8\/42 - q**6\/60 - 3*q**5\/5 + 7*q**2 + 3*q. What is the third derivative of y(u) wrt u?\nAnswer: -480*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*q - 30499, -29*q + 30*q - 6111 = 2*u. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -186 - -185.999999831. What is a rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v - 4 - 2 + 4 + 4 + 5 - v**2. Determine g(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 40, -9, -3 in descending order.\nAnswer: 40, 5, 4, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**4\/6 + 3*z**3\/2 + 19*z**2\/2 + 5*z. Let u be w(6). Let m be -5 - -6 - (u - 0). Solve 0 = -h - m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 6:22 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -2*i + 2*b, -5*b = 2*i - 4. Let g(q) be the third derivative of 1\/12*q**4 + 0 + 1\/3*q**3 - q**i + 0*q. Differentiate g(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -9. Let z(g) = -r - 3*g + 7 + 4*g**2. What is z(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(-2 + 0 + 11)*(2 + 0 - 1) + (-1 + 0 + 0)*(1 + 4 - 3) + 2 - 2 - 1)*(q + 6 - 2 + 1).\nAnswer: -12*q - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -313810000 to the nearest one million.\nAnswer: -314000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 27879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (272*(-35)\/980)\/(-1*(-9)\/(-63))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 825 - 824.76. Put -4, -7, v in descending order.\nAnswer: v, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12230596*m**4 - 18650175*m**2 wrt m?\nAnswer: -293534304*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + 4*r - 6. Calculate the smallest common multiple of w(-9) and 9.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20980886?\nAnswer: 2, 10490443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 8:34 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1152 - 336. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -262? (a) -4.1 (b) -0.5 (c) 10.1 (d) 0.5 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 31*b - 2921. Let k = 177 - b. Calculate the smallest common multiple of 55 and k.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -25. Suppose -13 - 2 = -3*k. Solve 0 = t*g + g + k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89040?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1089)*-1)\/((sqrt(21)\/(sqrt(7) + sqrt(14)\/sqrt(2) + sqrt(7)) - sqrt(3))*-3).\nAnswer: -22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*13*2\/(-1). Let s = 161 - f. Solve p + o - 4 = 0, -4*p + s = -3*p + 2*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + ((1 + sqrt(475) + sqrt(475) - sqrt(475) - sqrt(475)) + 4 - -2*sqrt(475)*-3) + -3)*4*4)**2.\nAnswer: 122880*sqrt(19) + 17514496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + ((-2)\/1 - -1). Let p(k) = 2*k - 4. Let d be p(x). Solve 2*l + d = -w, -4*w = -2*l + 4 - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*r**2)*(r - r + r**2) + (-3*r - 2*r + 2*r)*(0*r + r**3 + 0*r + 2*r**3 + 0*r**3 + 0*r**3 + (3*r + r**2 - 3*r)*(5*r - 2*r - 2*r) + 0 - r**3 + 0).\nAnswer: -11*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.1. Let q be -19 + (-3)\/(-3) + 2. Let i = q - -12. Which is the second smallest value? (a) i (b) x (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560) + (sqrt(560) - (sqrt(560)*-2 - sqrt(560))) + (-2*sqrt(70))\/sqrt(2))\/(-2*sqrt(504)\/sqrt(8)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.938 + -5. Round l to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 70*o + 266. Let z be g(-4). What is the hundreds digit of (8 + z)\/(4\/(-82))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = -7*y. Let a(r) = r**3 + 1. Let o(k) = 5*k**3 - 5*k**2 + 3*k + 6. Let n(d) = 4*a(d) - o(d). Let u be n(4). Solve y = -u*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 9*k**2 - 9*k - 1. Let h(i) = -i**2 - 4*i - 8. Suppose 5*n + 5 + 15 = 0. Let c be h(n). What is the units digit of q(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(3\/(-8)))\/((-32)\/16).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -182716 and -13.\nAnswer: 2375308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716707 is divided by 3335.\nAnswer: 3017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16339936*n**4 - 2*n**3*u - 6*n**3 - 45970*n**2*u + 9*n**2 - 41*n*u wrt n.\nAnswer: -392158464*n - 12*u - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -4*z - 3*l, -z + 5*l + 20 + 20 = 0. List the prime factors of (-10)\/z + (-346)\/(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o**2 + o - 10. Let v(x) = 2*x**2 - x + 2. What is -b(a) - v(a)?\nAnswer: -11*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-40)*g*(g**(2\/105)\/g*g*g)\/g)\/((g\/(g\/(g*g*(g\/g**(-10))\/g))*g)\/(g\/g**(-25))))**(1\/62) assuming g is positive.\nAnswer: g**(-44\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-27))\/((-5777)\/981).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 105 = -5*k, -2*h = -5*k + 58 + 40. Let o = k - 18. Suppose -6 = -j - o. Solve j = 2*g, -10 = -v - 4*g - g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 30*n + 40572 + 3726 = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5351?\nAnswer: 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Let b = -4552 - -4557. What is the nearest to b in k, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/(-48)*(-266208)\/5192.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 1, e: 1, p: 1, y: 3, g: 5}. What is prob of sequence zej?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**3 + 5*j + 16. Let r(n) = -12874*n**3 + n + 12875*n**3 + 4 - 1. Determine -11*r(i) + 2*t(i).\nAnswer: -i**3 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -0.17.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -14. What is the remainder when b is divided by 0 + 0 + (1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664105900 rounded to the nearest one million?\nAnswer: 664000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*((0 + sqrt(363))*-6 + 0 + sqrt(363) + -5).\nAnswer: 40 + 440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -1\/3*v**3 + 3*v**2 + 0*v - 1\/60*v**5 + 0 + 1\/3*v**4. Is 3 a factor of g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 75166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 3*v**2 + 4*v + 4. Let f(m) = -m**3 - 2*m**2 - 3*m - 3. Let i(h) = 4*f(h) + 3*p(h). Let i(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 8) in base 7?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 173*y**2 + 5*y + 1. Determine f(-1).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -6) + 10 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (-4 + (-25 - 3))) + 32?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (3 - -3) - (2 + 6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 750666 greater than or equal to 750664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w - 5. Let f(m) be the first derivative of 10*m**2 - 6899 + 6869 + m - 16*m. What is 6*f(d) - 17*t(d)?\nAnswer: d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/3 smaller than 9.345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3938*i**2 - 556*i + 3?\nAnswer: -7876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 303257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2170 = -12*o + 1766. Does 41 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425341?\nAnswer: 7, 60763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 78*o = -45*o + 17854. Calculate the greatest common divisor of o and 1975.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.1 + 15. Which is bigger: -0.2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, r: 6, p: 2}. What is prob of sequence rxx?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162939 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 26. Let q be (-10)\/3 + (-4)\/6. Let c be 6\/(-4)*q\/(-51). What is the biggest value in y, c, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.021\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d + 1480 = -9*d. Let a be ((-75)\/18 + 2)*d\/(-130). Factor -1\/3*s + 0 - 1\/3*s**5 + a*s**3 + 0*s**2 + 0*s**4.\nAnswer: -s*(s - 1)**2*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 70 + 60 = -3*x, 4*x = -3*d - 15. Let c(b) = -2 + 0 + 0*b + 2*b. Suppose -4 = -2*r - 0*r. Let q(j) = 3*j - 5. Determine d*c(t) + r*q(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k - 2*q - 10, 4*q = -4*k - 20. Suppose 0*v - v = k, -4*a + v = 0. Suppose a = -o + 1. Let j(n) = -6*n. Determine j(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p + 0*p)*(-664*p**3 - 660*p**3 + 1326*p**3 + 2*p**4 + 158*p).\nAnswer: 2*p**5 + 2*p**4 + 158*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + 10. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.92 - -0.12. Let x = l - -5.8. Sort -2\/19, 0.1, x.\nAnswer: -2\/19, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o - 29. Let s(i) = -7*i - 27. Let t(g) = -3*d(g) + 4*s(g). Calculate t(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**2*n)*n)**(-3\/8)*(n\/n**(1\/3))**25 assuming n is positive.\nAnswer: n**(409\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 91\/11*(-59 - 32706\/(-553)). Let p be ((-1)\/(-9))\/(14\/(-12)). Put h, p, -0.4 in decreasing order.\nAnswer: h, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/3 - 2*r**2 - 8*r\/3 = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 550062515251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 4*z - 1. Let j = 29 + -32. Let a be m(j). Suppose a*w = -0*w + 78. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/23 (b) 0.5 (c) -1 (d) 9622 (e) 277\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkkgmmdmd. What is prob of picking 1 g and 1 d?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 + 4*r + 4. Let u(v) = -3*v**3 - 2*v**2 + 3*v - 1. Let y be u(1). What are the prime factors of x(y)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121 + 55. Let a be ((-946)\/z)\/((-2)\/(-12)*-2). Is -44 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 m when four letters picked without replacement from gmkmvagamma.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) -3 (b) -2 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23022040 (base 7) in base 16?\nAnswer: -1e9a2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*i - 9, 0*i + 3*i + 5*r - 21 = 0. Is (-1228)\/(i\/2 + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**2 + 8907054*m - 6611300913243 = 0. What is m?\nAnswer: 1484509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84733 is divided by 1265.\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 561 - 254. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -2 + -10 + -5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6506 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -144547136.\nAnswer: -1\/144547136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372459 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513255538 to the power of 1\/3, to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159869\/9 + 17763. Let d be (-13)\/(-39)*4\/(-3). What is the second smallest value in d, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 8.9. Let d = -0.05 - -0.01. Let b = -2.96 + d. What is the nearest to v in 5, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 379 - 374. Suppose 3*s + k*t - 713 = 408, 25 = -5*t. What are the prime factors of s?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:25 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -6. Let l = m + -1. Suppose -d + 3*d - 106 = l*b, 0 = -3*b. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 11*f**3 + 100*f**2 - 230*f + 49. Give w(-11).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 26 (c) 1\/6 (d) 2\/7 (e) -12 (f) -1.43\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u + 8*u + 704 = 0. Let r(t) = 31 - u - 12*t + 13*t. Calculate r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170814 is divided by 1170?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**4 - 1 - 2*y**3 + 4*y - 5*y**3 - 3. Let h = -401 + 396. Let x(r) = -7*r**4 + 13*r**3 - r**2 - 8*r + 8. Let i(z) = h*w(z) - 3*x(z). Factor i(g).\nAnswer: (g - 2)**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.53 - -0.6. Let j = 2.93 + g. Is -2\/11 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -933.355.\nAnswer: 37.3342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -20. Let d(s) = -s - s**2 - 3 - 6 + q. Let p = -13 - -9. Let r(z) = -6*z**2 - 3*z + 4. What is p*d(f) + r(f)?\nAnswer: -2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**4\/8 + o**3 - 3697*o**2. Let p = 2 + -7. Let y(v) = -2*v - 4. What is p*l(u) - 7*y(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**2 - 52*f - 469. What is the remainder when i(-8) is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -8*k**3\/3 + 1. Let y(a) = 24*a - 1. Let f(q) = 50*q - 2. Let i(w) = 4*f(w) - 8*y(w). Give m(i(v)).\nAnswer: -512*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2360904*h. Let x(f) = 769*f**2. Determine g(x(k)).\nAnswer: 1815535176*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by 1.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 1. Let m(k) = 6*k**2. Determine u(m(v)).\nAnswer: -36*v**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, o: 2, h: 2}. Give prob of picking 1 o, 1 h, and 2 f.\nAnswer: 20\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 divided by -2?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 3, 5, -2\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*a**4 - 12 - 6*a**4 + 12*a**4 wrt a?\nAnswer: -52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 11*b - 5. Let y(p) = -p**2 + 11*p - 6. Calculate -6*g(k) + 5*y(k).\nAnswer: k**2 - 11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 286154371.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -1\/8*a**4 - 1\/40*a**6 + 2 + 0*a + 0*a**3 - 47*a**2 + 1\/10*a**5. Suppose b(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 400163, 400159, 400155, 400151, 400147, 400143?\n\"Answer: -4*h + 400167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/3, -0.08, 0, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 8. Let p be z(-2). Solve 2*c + 4 = p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 2, -48, 1 in decreasing order.\nAnswer: 4, 2, 1, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42103, 42191, 42279, 42367, 42455?\n\"Answer: 88*b + 42015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 476 + -471. Suppose p = -1, -o*a = -2*a - p - 511. What is the remainder when a is divided by 38?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37020 - 37020. What is the smallest value in c, 176, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 + 269. Calculate the greatest common divisor of b and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142358291 is divided by 217.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p. Let a(k) = -5*k + k + 2*k. Determine a(r(u)).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5 + 2*q - 5 + 1 - 13*q**2. Let m be t(2). Let c = m + 79. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58\/21 - -107\/28. Calculate the common denominator of r and -85\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.2755 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15875962 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 36*n + 7. Let p(y) = -35*y - 6. Let z(v) = -6*p(v) - 5*r(v). Is z(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 271*y. Let x(w) = 243*w**2 + 2*w + 4. Determine n(x(d)).\nAnswer: 65853*d**2 + 542*d + 1084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**2 + c**2 - c**2)*(0*c + c - 3*c) + (0*c**2 + c**2 + 0*c**2)*(-c - 4*c + c) to o*c + k + g*c**2 + x*c**3 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10*z - 6. Let a be l(-2). Is 2 a factor of 1\/(16\/a + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h. Let r(q) = -11*q. Let p(g) = 9*n(g) - 4*r(g). Let l be p(-10). Suppose 4*s - l - 58 = 0. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 - -10) - -7 - -5 - -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 7*a - m - 2, -5 = 5*a + 4*m. Solve 4*y - 5*f - 32 = -f, y - 16 = a*f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 6*v**2 - v - 20. What is j(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obznubununuruur. What is prob of picking 1 b and 1 r?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00040286 rounded to five dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2322\/17 in 392, -3, 5, -2, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-28)\/(-42))\/((-1)\/(-897)). Let m = 61 + u. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24498, -24496, -24494, -24492, -24490?\nAnswer: -24488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306510997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**2\/2 + 100. Let x(d) = -2*d. What is x(l(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/45 - -53\/30. Find the common denominator of z and 139\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 83559631 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/63240 and -7\/8834628.\nAnswer: 88346280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 9*a**2 - 27*a + 83. Give g(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 2 - 0) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -189.097 + 189. Let z = f - 0.003. Which is the closest to 1\/15? (a) 4 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 16*l**2 + 24*l + 10. Let r(n) = n**3 - 14*n**2 + 21*n + 9. Determine 5*q(a) - 6*r(a).\nAnswer: -a**3 + 4*a**2 - 6*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-9))\/((-282)\/1692)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5809420 - 26125.\nAnswer: 5783295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 59*u + 32*u**2 + 36*u + 41 - 127*u - u**3 - 6. Let t be y(31). Solve h = -4*r - 6, t*h + 3*r - 4 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -994*f**3 + 995*f**3 - 18*f**2 + 13*f**2.\nAnswer: f**3 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/19, 0.35, -1\/6, 5, -5, -14.\nAnswer: -14, -5, -1\/6, -1\/19, 0.35, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 57. Let q be -4 + z\/(-24)*-67. Which is smaller: 4 or q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2989316842?\nAnswer: 2, 47, 31801243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 16*h**2 + 16*h - 15. Let z be b(-17). Put 5, -31, z, -5 in ascending order.\nAnswer: -31, -5, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47.7781 + -0.0219. Let p = s - -44.97. What is p rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyyqllqlllqllylllll. Give prob of picking 3 l.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.6 at least -0.046682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 30*g + 26 = 34*g - 15, -3*o - 111 = -12*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from {v: 1, o: 2, q: 5, g: 1, m: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*g + 47*g - 14 + 467*g + 51.\nAnswer: 551*g + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -527575 - -1?\nAnswer: -527574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 50019*c - 600244. Give s(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 21*d**3 - d**2 - 23*d**3 + 2 + 0*d to k*d**3 + b + f*d**2 + n*d and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from ikpwwwpppwwcppp.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekeerpveke. What is prob of sequence kkpr?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - 83.3. Let r = 6.5 - 9. What is the third biggest value in r, 0.3, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-2))\/3)\/(66\/33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y**3 - y**2 - 8*y. Let c be (7 + -4)*(0 - -1). Is 14 a factor of q(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 + 28*u**2 + 2. Let z be h(-14). Calculate the greatest common factor of 194 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2 - 5*s - 1. Let g(c) = c**2 + c. Let v(q) = -6*g(q) - p(q). Determine v(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32897 and 123732?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 9\/4, -5, -24, 0.3 in decreasing order.\nAnswer: 9\/4, 0.3, 2\/13, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -13*d**3 + 4*d**2 + 11*d - 4. Let w(i) = -6*i**3 + 2*i**2 + 5*i - 2. Suppose -135 = -9*k - 171. Give k*v(g) + 9*w(g).\nAnswer: -2*g**3 + 2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 9, 1499 in decreasing order.\nAnswer: 1499, 9, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m**2. Let y(i) = 33*i**2 - 14 + i**2 + 29 - 13. Calculate y(t(x)).\nAnswer: 2754*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7506570449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 10 = 0, -8*k - 3*i + 25 = -10*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 - 77. Solve 0 = r*j + 2*j - 3*t + 2, -2*j = -4*t + 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(567) + 4 - (-6*-3*sqrt(189)\/sqrt(3))**2.\nAnswer: -20404 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1967709300 to the nearest 1000000.\nAnswer: 1968000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 6*p - 10*p + 158, -80*p = 5*t - 84*p + 377 for t.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7 - -1.6. Which is the nearest to o? (a) 0 (b) 3\/2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126479824.\nAnswer: 2, 373, 21193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334 - -2041012?\nAnswer: 2040123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.472387 to 2 decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - 219 + 6*o + 7*o**3 + 491 - 276 to j*o + g*o**2 + k + t*o**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (11 + (-15 - -7) + -3 - -26)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (102 + 23 - 217)*(-u**2 + 8*u**2 - 2*u**2) to b + o*u**2 + l*u and give o.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 17*w + 214. Is 14 a factor of j(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -10 (b) 3\/62 (c) 4 (d) -3\/4 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10102202210 (base 3) to base 7.\nAnswer: -401112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2. Let u(d) = 0 + 0 + 0 - 4*d. Let q(l) = 11*l. Let o(n) = 3*q(n) + 8*u(n). What is o(r(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*(-6 + 10). Let w(q) = -b*q**2 + 5*q**2 + 23*q**2. Let d(f) be the third derivative of -f**4\/6 - f**2 - 17*f. What is d(w(x))?\nAnswer: -104*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 808.0602 hours in minutes?\nAnswer: 48483.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 947 - 326. Suppose 14*n = l - 131. What is the greatest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(312)*-2)\/sqrt(6))\/((1*sqrt(700))\/sqrt(7)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1381\/318 - 28\/159. Calculate the common denominator of 17\/27 and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84657 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 j(f) = f + 12. What is the smallest common multiple of 11 and j(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3449232 minutes in seconds?\nAnswer: 20.695392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 214015 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 119*l = 648 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - 5*z**2 + 6*z**2)*(0*z - 3*z + z) - 205*z**3 - 171*z + 171*z + (-7*z**3 + z**3 + 3*z**3)*(-3 + 3 - 4).\nAnswer: -195*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 4*o - 3, 621*u - 13 = o + 624*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -g + 14. Let i be ((-1474)\/55)\/((-2)\/g). Suppose 2*s + 5*q - i = -24, -4*s = 4*q - 56. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:35 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 2*i**3 - 2*i**5 + (i**2 + 0*i + 0*i)*(20*i**3 - 157*i + 157*i) - 2 + 2 + i**5.\nAnswer: 19*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1309451.17 to the nearest 1000.\nAnswer: -1309000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 17*f**2 + 20*f + 42. Let h be q(-18). Suppose 5*a - 9 = c + 1, -3*a + h = 3*c. Solve 3 = j - 3*m + 7, -5*j - 7 = -a*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51f8 (base 16) to base 6\nAnswer: -241052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79935915 to the power of 1\/2, to the nearest integer?\nAnswer: 8941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -92808*g*n*w**3 - g*n - 20*g*w**3 + 4*g*w + 5*n*w**2 + 405*w**3 wrt n?\nAnswer: -92808*g*w**3 - g + 5*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18256 + 18281. Solve 75*x = k*x + 50 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 330121203?\nAnswer: -330121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46.5 - -46. What is the closest to 5 in b, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 n when three letters picked without replacement from vvjjvjjjvnnjjnvn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158519232.\nAnswer: 2, 3, 275207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - 4*p**2 + p**2 + (0*p**2 + 2*p**2 - p**2)*(-1 + 0 - 1) - 6*p**2 + 4*p**2 + 4*p**2 + (-4 + p + 4)*(0 + p + 0).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -412 - -513. Suppose -s*f = -106*f. Factor 0 + 4\/3*x**3 + f*x + 1\/6*x**4 + 8\/3*x**2.\nAnswer: x**2*(x + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -2. Let v = 44 - 23. Let i be (-88)\/(-28) - 3\/v. Solve -4*l - 2 + n = i*x, 20 = 4*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 15. Let y be 1*(-2 - (-6 - -4)). Let h be j(y). What are the prime factors of 141\/12 + h\/(-20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 375*y + 8842. Give n(22).\nAnswer: 1560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 + 8\/6. Let l(f) = -5 - a*f - 2 - 4 + 6. Determine l(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 17*l + 32. Let a = 20 - 37. Let o be p(a). What is the derivative of -12*k**3 + 6*k**2 - o - 6*k**2 wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 15*z - 2. Calculate x(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 7:51 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/30 - 9*q**4\/8 - 59*q**3\/6 + 2*q**2 - 10*q. Does 12 divide s(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 i when three letters picked without replacement from {l: 1, m: 3, i: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/73376 and 85\/36.\nAnswer: 660384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence povp when four letters picked without replacement from pvvovvooovovvvvopovv?\nAnswer: 77\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7\/5)*t*t**(-2\/9)\/t*t)\/(t\/(t**(-9)\/t*t)*t**(-16)*t) assuming t is positive.\nAnswer: t**(197\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97337 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**33)**19 assuming r is positive.\nAnswer: r**627","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 4*v**2 - 4*v - 3. Let u be 114\/(-21) - 3\/(-7). Determine s(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + 2*sqrt(648))\/(sqrt(60)\/(sqrt(20)\/sqrt(2))).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/54 and 143\/852.\nAnswer: 7668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (83 + -28) - -6 - -85?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.4 - -10. Let t = -2.6 - -2.5. Let q = -1 - -1. Which is the closest to t? (a) q (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -501.\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -7*i + 9. Suppose 0 = i*p - 66 - 6. Solve p = -3*j + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*30576.4.\nAnswer: -3057.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1883*l**2 - 386*l**2 + 1034*l**2 - 1261*l**2 in the form q*l + t + m*l**2 and give m.\nAnswer: -2496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 8:28 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -32313211 (base 5) to base 6\nAnswer: -5530012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512811 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -88, -351, -970, -2125, -3996?\n\"Answer: -30*p**3 + 2*p**2 - 59*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2671*b**3 + 63*b**2 - 63*b**2.\nAnswer: 2671*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-6))\/(11\/(-33)). What is the fourth smallest value in -4, 72, h, 2?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164914 or -164893?\nAnswer: -164914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047011?\nAnswer: 7, 373, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 l when four letters picked without replacement from {b: 2, u: 4, l: 6}.\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhh when three letters picked without replacement from {p: 4, n: 1, h: 10, m: 4}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 0*c + 2*c - 99*c. Let g(r) = 44*r**2 + 35*r + 10. Let z(t) = 61*t**2 + 49*t + 14. Let n(k) = -7*g(k) + 5*z(k). Determine n(b(o)).\nAnswer: -28227*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 2*g**3 + 13 - 52*g**2 + 56*g**2 - 16 in the form w*g**3 + u + k*g**2 + n*g and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-2*3\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, d: 8}. Give prob of sequence bd.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -68, -2822 in increasing order.\nAnswer: -2822, -68, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from {n: 8, g: 5}.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 100, 401, 976, 1885, 3188?\n\"Answer: 10*n**3 + 77*n**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 213795341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -240 + 2011. Suppose -2*z = 4*w - 768, 4*z + 54 = -w + j. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 55 = -4*a. Let z(m) = m**2 - 9*m - 2. List the prime factors of z(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z + 1. Calculate the remainder when x(-5) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 142317, 142314, 142311?\n\"Answer: -3*h + 142320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23924*w = -23915*w + 162 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 0.0432, 0.2, -4, -0.4, -1.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1 - -51) + 690 + -680 - 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2195772 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -57.8. Let g = q + 10. Which is the second biggest value? (a) -1\/5 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 2809494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, p: 1, k: 2, b: 1, w: 1}. What is prob of sequence wp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y = 0. Suppose -w + 4*w - 15 = y. Let g = 1 + w. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*s**2 + 0 + 15*s + 1\/3*s**4 - 15*s**3.\nAnswer: s*(s - 45)*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 7. Let u = z - 1. Put -2, -0.5, u in decreasing order.\nAnswer: -0.5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2591034*c**3 + c**2*s + 1097*c - 137*s wrt c?\nAnswer: -15546204*c + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.8 - -1.3. Let q = 44 + -32.5. Let c = b + q. What is the closest to -1\/4 in -8, -2\/13, c?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63972497.\nAnswer: 63972497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248 = -32*r + 101*r + 442 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 6*l + 5. Let o(y) = -y**2 + 6*y - 1. Let k be o(5). Let d be (-100)\/16 + k\/16. What is m(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -461.744118 and -1.3?\nAnswer: 460.444118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 1 - 17*i**3 - 2*i**2 - 293*i**4 - 4*i + 18*i**3 - 11 + 263*i**4 as m*i + d*i**4 + q + y*i**2 + o*i**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 424*m - 5. What is the tens digit of w(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 9:21 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.66 * 4.\nAnswer: 70.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 488841709978.\nAnswer: -488841709978.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, y: 10, w: 1, r: 1, t: 4}. Give prob of picking 1 r, 1 w, and 1 n.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 341373.7 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*r - 4571503 + 752399. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -866*u + 1737. Let c be a(2). Solve 0 = -0*g + 2*g - c*b - 30, -3*b + 8 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 6*a - 5. Let r = 21 + -14. Let t be m(r). What is the third derivative of -6*c - 6*c**t + 4*c**5 + 6*c wrt c?\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 + 95. Let n(k) = -6*k**2 - 85*k - 13. Let i be n(-14). Let j = 3.4 + -3. Which is the nearest to i? (a) j (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2*3\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t*t**(-40))\/t))\/t*t*t**43 assuming t is positive.\nAnswer: t**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1200831, -2402002, -3603175, -4804350?\n\"Answer: -f**2 - 1201168*f + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 116492.1 and 0.011.\nAnswer: 1281.4131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57732640 rounded to the nearest 100000?\nAnswer: 57700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 3) in base 15?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1\/(-292)*-4). What is g rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(25))\/sqrt(5) + (5 + -2 + sqrt(20) - sqrt(20))**2.\nAnswer: -sqrt(5) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 26*b - 23*b. Let n(x) = 50*x - b*x - 27*x. Let u(d) = -4*d. Determine u(n(w)).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) - (-10)\/6. Let g(s) be the first derivative of -s**2 - w*s**2 + 2 + s**2. Determine g(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 + 237558*h**2 + 12*h**3 - 237576*h**2.\nAnswer: 8*h**3 - 18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 - 427. Let x = l - -207. Let d = x + 181. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*14\/(-315)*10\/12.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.81 + -0.80999957. What is h rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*o)*(-1 - 3 + 1)*(0 - 3 + 1).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 18*k - 280. Calculate the remainder when 284 is divided by a(23).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101.7 - 102. Let p = -0.7 + n. Which is the biggest value? (a) -2\/3 (b) p (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*x - 56, -4*x + 1 = -3*m + 35. Let d be (-379)\/(-3) + (-2)\/6. What is the highest common divisor of m and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3004\/51 + 66013\/1020. Let k = -59\/15 - d. Find the common denominator of 107\/12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -18*a**2 + 3*a - 55. Let v(j) = 74*j**2 - 13*j + 238. Let d(t) = -13*p(t) - 3*v(t). Let n be 0 + -1 + 2\/1. Give d(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 3*q - 32 = 0, -4*p + 2*q + 2485 = 2523 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o - 52 - 60. Suppose 2*n = -2*q + 920, 4*q - 1384 = -o*n + 5*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/80 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - v. Let a(m) = 2*m**2 - 25*m - 19. Let l(w) = a(w) - 6*p(w). Let d be l(16). What is the tens digit of d\/12 + 3\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629*o + 628*o + 2769 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 + 2. Calculate d(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 167623*o**3*r**2 + 8*o**3*r - 794655*o**2*r**2 + r**2 wrt o?\nAnswer: 1005738*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675*h - 759*h - 496*h + 92004 = 1511*h for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/4)\/o)\/(o*o**(-2\/45)))\/(o\/(o\/(o\/(o**(-2\/21)*o))))**(2\/7) assuming o is positive.\nAnswer: o**(-10873\/8820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.3 - -18. Which is the second biggest value? (a) i (b) -1\/6 (c) 0 (d) -1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.062 and 1610803371278.\nAnswer: 1610803371278.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-32)\/(n**1)**(30\/13) assuming n is positive.\nAnswer: n**(386\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, -0.058 in ascending order.\nAnswer: -0.1, -0.058, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -4, 4, 1, 0 in increasing order.\nAnswer: -20, -4, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1868 is divided by 907.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*n - 46. Let x be (18\/n)\/((-4)\/(-14)). Suppose 2*p - 34 = -m + 37, -176 = -5*p - x*m. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.040841518 + 0.04085. Round w to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3768 - 3766. Solve 0 = -4*i + z*i - d, -4*i = -4*d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52403190 to the nearest 100000.\nAnswer: -52400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -33301.7*-10\nAnswer: 333017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 0*i**2 + 9024 - 17947 + 2*i**2 + 8988.\nAnswer: 3*i**2 + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4565558626?\nAnswer: 2, 43, 2473, 21467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**5\/20 + 5*a**4\/12 + a**3\/2 - 3*a**2 - 5*a. What is z(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3671 - 3671.4. Let n(o) = -o + 1. Let b be n(-2). What is the nearest to 2\/5 in 1\/4, d, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, e: 1, l: 1, b: 2, x: 11, t: 2}. What is prob of picking 1 t, 1 e, 1 q, and 1 x?\nAnswer: 11\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/(-5) - 2\/(-5). Let x = 26 + -24. Calculate the remainder when h - (4 - 3)*-2 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01507143 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22149 and 1311713.\nAnswer: 2461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 11166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 29*u + 422. Calculate j(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from pxepyppxyypylx.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2575*j + 2575*j - j**3 + 9 - 16 + 8*j**3.\nAnswer: 7*j**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*r - 3*b, 4*r + 9*b - 13 = 14*b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 16210*h**2 + 540215*h - 524000.\nAnswer: -5*(h - 32)*(h - 1)*(h + 3275)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1368, -2851, -4320, -5769, -7192, -8583?\nAnswer: -9936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -1\/35410267?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 50. Let r = 18 - u. Put -4, r, -5 in ascending order.\nAnswer: -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 9:39 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44)\/(-28) - (0 + 2). What is the smallest value in -0.05, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27 and -50.162.\nAnswer: 1354.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4+-34172\nAnswer: -34168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.49 + -6.7143. Let l = 0.116 - 0.351. Let u = l - c. Round u to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -476, -473, -468, -461, -452?\n\"Answer: b**2 - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 2. Suppose v = 4*o - 55. Let m = o + 113. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12788\/3 - 4263. Which is the nearest to -0.2? (a) -1\/5 (b) -1 (c) i (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/23730 and -53\/65100?\nAnswer: 7356300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1508462377*a**6 - 92*a**2 + 2993737*a?\nAnswer: 181015485240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8377444?\nAnswer: 2, 2094361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + y**2. Suppose -2*t = 2 - 4. Let b be i(t). Find the third derivative of 2 + 21*u**b + 2*u**3 - 29*u**2 - 2 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 7*r - 51 = 0, 3*r - 16 - 36 = 5*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**3 + 5 - 5 + 17*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(378)\/sqrt(6) - sqrt(7)))**2.\nAnswer: -20*sqrt(7) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19547916 + 2445584.\nAnswer: -17102332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - -1*sqrt(34))*-4)\/(sqrt(2) - 5*sqrt(2)*2).\nAnswer: 8*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/10 and (1\/(-2))\/(1\/((-318)\/54)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 708424 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 44\/8)*(-3 + 4). What is the third biggest value in 0.4, a, 4, 2\/21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4505 = -u + 5*r - 4207, -u = 3*r - 410. Let c = -27 - -59. What is the greatest common factor of c and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (22 - 21) - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*a = -0*f - 45, -35 = -25*f + 23*f - 3*a for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-21) + (3 - 15\/(-9)). Suppose w*q + 687 - 3419 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22189.\nAnswer: 22189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w**2 + 14*w**2 - 15*w**2)*(3*w - 3*w + 2*w**3)*(0 + 0 + 1).\nAnswer: -22*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13*50\/2275)\/(25\/35).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1617?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9 times 31?\nAnswer: -275.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 2\/15, 0.1, -4, -299\/5?\nAnswer: -299\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 24. Let t be 2042\/6 + x\/36. Let b(h) = h + 341 - t. Let w(u) = 2*u - 1. Calculate -4*b(i) + 3*w(i).\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 + 0*b**3 + 5*b**3)*(-1 + b + 1) + (2*b**3 + 0*b**3 + 2*b**3)*(2*b + 3*b - 6*b).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 - 94. Suppose 2*j - 3*j + 16 = 0. Suppose -y*r = -j - 4. Put -6, 2, r in descending order.\nAnswer: r, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -960*j**2 + 18*j + 478*j**2 + j**3 + 482*j**2.\nAnswer: j**3 + 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/16)\/(9\/(-108)). Suppose 0*i = -5*i + 20. Suppose 0 = 3*f + j*g + 12, g = -5*f + i*g + 12. Solve f = -4*v + 2 + 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 17614*o + 2782973. Give c(-158).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96883631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + 9*h**5 - h**5 + (0*h + 0*h - h**4)*(0*h + h - 3*h).\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 159.42 + -150338\nAnswer: -150178.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + d - 1. Let m(v) = -2*v**3 - 2*v**2 - 6*v + 6. Let u be ((-18)\/15)\/((-9)\/(-45)). What is u*l(q) - m(q)?\nAnswer: 2*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9287*z + 30 = 2*j + 9291*z, -z = -5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 63*i**6\/40 + 51*i**5\/10 + 13*i**4\/2 + 4*i**3 + 3*i**2 - 10*i. Let h(z) be the first derivative of g(z). Factor h(v).\nAnswer: 3*(3*v + 2)**2*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7754 + 11942. Which is smaller: 4187 or n?\nAnswer: 4187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*o)*(21 - 17 - 12 + (-4 + 4 - 1)*(-5 + 3 + 4)*(3 - 5 + 3)).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 9. Let b be i(-8). Let o be b + 1 + 2 - 1. Let v(l) = -5 + 5 + o*l. Let y(n) = 2*n**2. What is y(v(k))?\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99894\/325 - -7688\/25. Suppose -u - 4*u + 10 = 0. Suppose -3 = u*q - 5*q. Which is the second smallest value? (a) -5 (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h. Let l(b) = 5029*b**2 - 1. Determine w(l(q)).\nAnswer: -15087*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -260 - -263. Let q = 308.49 - 307. Let h = 1.5 - q. Which is the second biggest value? (a) h (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -2 (c) 1\/3 (d) -2\/103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -15. What is the smallest common multiple of n and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = -32. Suppose -u = 2*n - 13 - k, 0 = 4*n + 3*u - 65. Suppose -28*p + 30*p = n. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 - 6. Let t = 0.8 + o. Suppose -r + 3*r - 2 = 0. What is the third smallest value in t, -0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 8*g. Suppose v - 6*v - 25 = 0. Let s(m) = -m**2 - 2*m + 6. Let p be s(v). Let f be l(p). Calculate the highest common factor of 72 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -5*f - 20, 4*k - 8 = 2*f + k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28988 + 643302?\nAnswer: 672290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 0)*(-o**2 + 3*o**5 + o**2) + 0 - 12878*o**2 - 3 + 2*o**5 + 12895*o**2.\nAnswer: -10*o**5 + 17*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from qlpqqdppxlqq.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -10. Suppose -5*s = -5*d, 2*s + b*d = -3*s + 40. What is the third derivative of -2*h**2 + 5*h**4 - h**s - 6*h**4 wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 6*i + 3. Suppose j = -5*u + 4*j - 12, 3*j = -4*u + 12. Let c be -1 + u + (2 - -12). Suppose 3*s = -2 - c. Calculate h(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**3\/6 - z**2\/2 + 6*z + 1. Let i be 1 + (-1)\/(-2 - -1). Let c(o) = -3*o - 4. Let s(h) = i*r(h) - c(h). Determine s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 335.7393091 - 1.\nAnswer: 334.7393091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*(-423)\/188*-48.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 97, -662, -2, -3, 4 in increasing order.\nAnswer: -662, -3, -2, 4, 11, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004891 to six dps.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -65308400 rounded to the nearest one hundred thousand?\nAnswer: -65300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -100+1.7\nAnswer: -98.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 358516507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -34 - 3*v**2 - 19 + 89 - 21. What is z(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35 + -36 + 70)\/((-1)\/880). What is the greatest common factor of a and 1000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 + -5 - ((47 - 51) + 4)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -58639972037 and -45.2.\nAnswer: -58639972082.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 3486688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -12042 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/3, -10853, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 (base 11) in base 15?\nAnswer: -db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 3.7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-6) + 2 + 33\/54?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/9 - 1336*r\/9 - 9401\/9.\nAnswer: (r - 1343)*(r + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(-2 + 0 + 4)*(-8 - 3 - 3)*(-4 + 2*y**2 + 4) to the form c + f*y + m*y**2 and give m.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -24*b - 1667. Let d(n) = n + 71. Let u(r) = 94*d(r) + 4*o(r). Let h(z) = z**3 + 7*z**2 + 6*z + 4. Let w be h(-6). Determine u(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -11*y**3 - 4*y**2 - 18. Let p(x) = 5*x**3 + 2*x**2 + 9. Calculate -3*l(q) - 7*p(q).\nAnswer: -2*q**3 - 2*q**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58713 is divided by 3084.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1162235*r - 500238?\nAnswer: 1162235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d. Let j(u) = -1273*u. Calculate a(j(x)).\nAnswer: 2546*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -17. Suppose 5*y = -3*z + n, -z + 0*y + 2*y + 12 = 0. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - (-7 + (-1626)\/(-10)). Let w = -2434\/15 - o. What is the second smallest value in 0.3, w, 11, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i + 21. Give v(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 + 0*x**3 - 5*x**3 + (2*x**3 - 5*x**3 + x**3)*(7 - 11 - 13) to g*x**3 + o*x + u*x**2 + z and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**5 + 2*n**3 - 2*n**3)*(-3 + 2 + 0 + (0 - 1 - 1)*(-1 + 5 - 1)).\nAnswer: -7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 692126675 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20795159.\nAnswer: 7, 11, 41, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 70531861?\nAnswer: 70531859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8249799822.8995 and 0.3?\nAnswer: 8249799823.1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 43, 65, 95, 139, 203, 293?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 16 + 13 = k, 2*k + 6 = -m. Let r(w) = 24*w - 6. Let t be r(1). Solve 2*a + 20 = -4*o - m*a, 4*o + a = -t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301480 divided by -150740?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 5:39 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = -4*b, -4*b + 2*h + 4 = -2*h. Suppose -b = -i - x, -2*i - i + 4*x = -10. Is 171\/4 + i\/8 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 236, 242, 250?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 less than 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -p + 14, p + 1 + 6 = -3*y. Suppose p*n - 530000 = 3*n. What is n rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -2 + -5)*1.\nAnswer: -7 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1746*m**2 + 16*m + 4658. Let i(a) = 2618*a**2 + 22*a + 6987. Let g(x) = -5*i(x) + 7*j(x). Differentiate g(v) wrt v.\nAnswer: -1736*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 275*x**4\/2 - 4*x**3\/3 + 4*x**2 - 4*x + 132. List the prime factors of l(1).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -7. Let w = v + 16. Let i be (2 + 0)*(-4)\/w. Which is smaller: 2\/7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968 is divided by 56?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8761\/2, 2, -4, 19, -0.2 in increasing order.\nAnswer: -8761\/2, -4, -0.2, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 105*c**3*w + 34*c**3 + 332*c*w - 5856*c wrt w.\nAnswer: 105*c**3 + 332*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**2 - 3*y - 1. Let t(x) be the third derivative of x**4\/24 + x**3\/3 + 9*x**2. What is 2*c(p) + 3*t(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 61 + 21. Let z = k + 7. Let i = -37 - -36.9. What is the third smallest value in 4, i, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 45*f**3 - 168*f**2 - 164*f.\nAnswer: -f*(f + 2)**2*(f + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*i**4 - 14 - 2*i**3 - i + 75*i**4 - 8 to z*i**4 + u*i + h*i**2 + v + f*i**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5071.53 + -5071.4. Let j(z) = z**2 + z + 1. Let l be j(-2). What is the nearest to l in -0.5, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -5*a + 2*a. Let q be (9\/(-12))\/(a\/64). Suppose -q = -x + 13. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i - 41. Let u be n(16). Let k = u + -102. Which is the closest to -1? (a) -0.1 (b) 0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.4 and 0.0586.\nAnswer: 1.37124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-6))\/c**(-2))\/(c**(-3)*c*c*c\/c**(3\/8)*c))\/((c\/((c\/(c\/(c**3*c)))\/c))**(12\/11))**49 assuming c is positive.\nAnswer: c**(9177\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10*g**3 - 9*g**2 + 11. Let b be (-2 - (-37)\/2)\/(285\/190). Let y(p) = 2*p**3 + 2*p**2 - 2. Give b*y(k) + 2*o(k).\nAnswer: 2*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*c - 86*c - 14 = -w, -14 = -4*w - 2*c. Factor 2*b**4 - 1\/2*b**5 + 4 - w*b**2 + 2*b - 1\/2*b**3.\nAnswer: -(b - 2)**3*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {v: 8, p: 1, a: 1, g: 2, y: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v. Let r be ((-4)\/(-10))\/(7\/(-70)). Let d = 18 + r. Calculate the remainder when d is divided by c(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 - 32. Let n(x) = -4*x - 1. Let u be n(-2). Suppose -5*l - y = -3*w, w - l - u = 10. Calculate the least common multiple of w and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34492642 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = b - 4*i, 6*b - 270*i = -271*i - 3 + 11 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1.63, -2, 5, 30, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/66223 and 55\/8.\nAnswer: 529784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06728372 rounded to 3 decimal places?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.317283us to hours.\nAnswer: 0.0000000009214675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2462 = x + 2457. Let g(c) = -6*c + 28. Determine g(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2206326040 to the power of 1\/2, to the nearest integer?\nAnswer: 46972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -46. Solve k = 2*l - 7*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*f - 2*z, -f = -5*z. Suppose 3*l = -4*u + 18, f = 2*u + 3*l - 3 - 3. Which is smaller: 7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 48220 = 4*k, 2*k = -2*k + 2*i + 48220. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152812 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 78*h + 76. Give c(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82*(-3 - (-5)\/2)*-17 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70301 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddd. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(4*x + 2*x - 4*x) + (2*x + 4*x - 4*x)*(-7 - 5 - 1).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.37 + 27.5. What is the biggest value in g, 3\/7, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 2:55 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1 (c) -6\/11 (d) 5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13.64 times -5\nAnswer: -68.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/12*40\/55\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 201*k**5\/10 - k**4\/12 - k**3\/6 - 5*k**2 + 6*k + 21. Find the second derivative of q(u) wrt u.\nAnswer: 2412*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27776 and 3.\nAnswer: 83328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -56, -14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -4 (b) 0.4 (c) 6\/82813\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/12331900 and -157\/54753636.\nAnswer: 1368840900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6260 + 6260.03987. Let u = d - 0.0375. What is u rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and (1 + -2)\/((-3)\/30)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*b - 49 + 154, i = -2*b + 42. What is the remainder when 4703 is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -36855 - -22565. Round a to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -3, 2, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.4 - -0.4. Let p = -235.33515 + 0.03515. Let z = p + 235. Sort -5, s, z in descending order.\nAnswer: z, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65783 + 66582359.\nAnswer: 66648142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 70?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(80)*5 + 2)**2 + ((sqrt(180) - (sqrt(180) + (sqrt(180) - 3*(1*sqrt(180) + sqrt(180) - sqrt(180))) + sqrt(180)))*-6)**2.\nAnswer: 80*sqrt(5) + 8484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 98\/21 + 2\/6. Let k(x) = -x**3 + 10*x**2 + 13*x - 23. Let s be k(11). Put i, s, 4 in descending order.\nAnswer: i, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2475 - -1553?\nAnswer: -922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 193904 (base 13) to base 7\nAnswer: 5260364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g + 163 - g - 163. Let f(t) = t + 1. Let h(d) = d**2 + 2*d + 2. Let k(p) = 6*f(p) - 3*h(p). What is k(c(l))?\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 299*u**2 + 27*u + 6. Let h(o) = 100*o**2 + 9*o + 2. Determine -2*g(r) + 7*h(r).\nAnswer: 102*r**2 + 9*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**3 + 15*q**3 - 22*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3649, -5137 in ascending order.\nAnswer: -5137, -3649, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 418, 1\/98, 0.4, -1, 4\/3?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -3137, -26, -5\/7, -4 in decreasing order.\nAnswer: 2\/7, -5\/7, -4, -26, -3137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 3)*(-4 + 2*o + 4) + o - 3*o + 4*o)*(1 - 1 - 2*o).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u + 5*p = -80, 4*p = -4*u - 256. Let x = 63 + u. Suppose -19*f = -22*f + 30. Solve 0 = -x*q - 2*q - f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 4. Let o be (-3)\/6 + 6\/8. What is the second smallest value in -0.2, o, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 230 - 134. What is the highest common divisor of 72 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzxmzmhhhzmhzmzxm. What is prob of picking 2 h and 2 x?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 83427 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*4*(4 - (-18)\/(-24)). Suppose p*t - 3266130 = -36546130. Round t to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = 150*a - 146*a. Suppose 109*u + 10 = a*u. Sort -0.01, u, 0.01 in ascending order.\nAnswer: -0.01, 0.01, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 6*x**2 - 7. Let v be q(5). Suppose 73*m = 69*m + 4. Let h = m - -71. What is the highest common divisor of v and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**1\/x)*x)**(-39)\/(x**(-1\/2)\/x*x)**(-33) assuming x is positive.\nAnswer: x**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 3, -4\/5, 0.82, 2320?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 541005873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4 - 12664*y**3 + 228678*y**2 + 495340*y + 254000 = 0. What is y?\nAnswer: -6350, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 1. Let s(n) = -n**2 - 3*n - 21. Calculate -4*k(a) - s(a).\nAnswer: -3*a**2 + 3*a + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**3\/3 - 3*h**2 - 110*h. Suppose -6 = -t - 0. What is r(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8900675, 8900677, 8900679, 8900681?\nAnswer: 8900683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202105 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 10*d + 5*d + 110 = 0, 0 = 3*u - 2*d - 56. Solve -55*y = -59*y - u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 1:10 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-3)\/6)\/(4\/(-8)). Let c be (z\/(-15))\/(1\/15)*7. Round c to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2650*v + 2321 + 582 = -2397 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -6.4. Let l = -6 - r. Which is the third biggest value? (a) l (b) 1\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/((-392)\/42)*(-5)\/(90\/(-309)). Which is the second biggest value? (a) 4 (b) w (c) -1 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037 times -6?\nAnswer: -0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1840\/(-184) - (-13 - -1))*11\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8161*c + 34 = 5*r + 8160*c, -4*c = 3*r + 67 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 4691460*a - 4691464.\nAnswer: 4*(a - 1172866)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -25. Suppose 2*s + 12 = u*s. Suppose 15 = s*p - 0*p. Solve -k + p = k + i, -12 = -4*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 * -3476.163.\nAnswer: -121665.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -16*g. Let p be -12 + -5 + 0 + 3. Let s(b) = 3*b. Let r(f) = p*s(f) - 3*c(f). Let q(h) = -2*h. Calculate r(q(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -63 + 315. Let u = -10028 - -10091. Calculate the highest common factor of v and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -834000 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 18*i - 2. Let x(a) = a**2 + 17*a + 1. What is 2*f(j) + 3*x(j)?\nAnswer: j**2 + 15*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2331030 (base 5) to base 2.\nAnswer: -1010011010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 467358887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 <= 319\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79464 divided by 43.\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 5*x**2 - 8*x - 7. Let t be q(-6). Suppose 28 = 2*h + 2*z + 2, -2*z - 79 = -t*h. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -9556.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1008 (base 13) to base 7\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0 (c) -37 (d) 2\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 6)*((-1)\/4 + (-3)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -13 - 6*p - 2 + 10*p - 2. Let g be u(5). Suppose -g*a + 6*a = 39. What is the smallest value in -3, 0.2, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/306*-6*18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 50869.55 to the nearest one thousand.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 176\/5 + 686\/5*n**4 - 8134\/5*n**3 - 1864\/5*n + 6636\/5*n**2 = 0.\nAnswer: 2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 4\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -138 < 115\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 4 - 9)*(3*a**3 - 2*a**3 - 3*a**3).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n - 2*n)*(-4*n**4 + 0*n**4 + 3*n**4) - 26 - n**3 + 12*n**5 - n**4 + 26.\nAnswer: 11*n**5 - n**4 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127474*g**3*q + 13*g**3 - 149*g**2*q - 338*g**2 - 10*q wrt g?\nAnswer: -764844*q + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11693*b**3*w**3 + 655*b**3 - 6*b*w**3 + 144412*w**3 wrt b?\nAnswer: -70158*b*w**3 + 3930*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 - 5*a**4 + 4*a**4 + (3*a**3 + 3*a**3 - 4*a**3)*(52*a + 73*a - 8*a) to g*a**2 + p*a + w + r*a**3 + b*a**4 and give b.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*l - 6 + 6.\nAnswer: 185*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 343*r**3 + 76*r**2 + 13*r - 503. Is o(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1388)\/(-4128)*-3 - -1. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 619 (b) 2 (c) -3\/4 (d) -1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -32. Suppose 0 = 2*y - 2*v - 4, -5*v - 10 = -5*y + j*y. Is ((-2879)\/(-2))\/(1\/(2 + y)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c43487 + -63?\nAnswer: c43424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*c + 100*c + 4*u + 12 = 0, 0 = 5*c + 3*u + 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82.3 - 152.1. Let i = z - -70. Let s = -6 + 10. What is the fourth biggest value in -1\/3, i, s, -1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7224 divided by -42\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48424977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a + 2*a - 3*a + a + a - 4*a + (0 - 2 + 3)*(10 + 6*a - 10) - 101*a + 148*a + 205*a as s*a + i and give s.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 5 + 17 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49848473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tootttoooott. What is prob of sequence ooo?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102 divided by 141?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 32*f**2. Let a(t) = 17*t**2. What is b(a(w))?\nAnswer: 9248*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61309*q**3 - q + 3394481 wrt q.\nAnswer: 183927*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 23 (c) 5 (d) -0.61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -96, 314 in ascending order.\nAnswer: -96, 38, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-460 - 176 + 3499)*(-3*u + 4*u - 2*u + 5) to the form r + a*u and give r.\nAnswer: 14315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 0. Calculate the remainder when (2\/4)\/(299\/(-23) - (-315)\/24) is divided by (5\/((-10)\/p))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 1425?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 7*j**2 - j + 5. Calculate the remainder when -2 + 0 + 54 + -7 is divided by g(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(612\/(-297))*8\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 248.5 + -235.5. Suppose 15 = 8*x - 3*x - 5*t, 5*t = 0. Sort x, -5, n.\nAnswer: -5, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2. Let n = 74 + -48. Let u(f) = 0*f**2 + f**2 + n*f**2 - 2*f**2. What is u(g(o))?\nAnswer: 25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. Let x = 27.6968 - -0.0032. Let g = x - 28. What is the closest to 6 in -1, g, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -6. Suppose -u + 24*l + 18 = 29*l, 2*l - 6 = 0. Sort u, 0, t, -1 in ascending order.\nAnswer: -1, 0, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21963, 21694, 21425, 21156?\nAnswer: 20887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 260*s**4 - 55685*s**3 + 3770530*s**2 - 82446925*s + 14157000 = 0?\nAnswer: 9\/52, 55, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73 and -7.\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.5 + 0. Let x = 9.5 - f. Let z = 0 - x. What is the second smallest value in 5, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (456\/(-16))\/19*(-106)\/3. What is the first derivative of 36 - 35*t**3 - 67 + 94*t**3 - b wrt t?\nAnswer: 177*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 142 (b) 951 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1aaa84 - -1?\nAnswer: -1aaa83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzi when three letters picked without replacement from {v: 1, i: 1, z: 3, c: 1, x: 1, h: 5}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9\/6)\/((-9)\/(-462)).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**9\/(s\/((((s\/s**(-2\/13))\/s)\/s)\/s)*s))\/(s**(1\/3)\/(s*(s*s**(-3\/10))\/s*s*s*s)) assuming s is positive.\nAnswer: s**(3323\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -4, -3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 677\/(-1005) - (-6)\/15. Let g be 3\/134*224\/(-84). Let l = g + q. Which is the nearest to 4? (a) 4 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2085*o**3\/7 + 61749*o**2\/7 - 37416*o\/7 + 5220\/7 = 0?\nAnswer: 30\/139, 2\/5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 22*o + 23. Calculate the lowest common multiple of r(21) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 111954*i**2 - 5*i**3 + 0*i**3 - 111954*i**2.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -17047.43.\nAnswer: -17051.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 27*u - 431. What is the remainder when g(13) is divided by 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3706 and 10?\nAnswer: 18530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -444.961 + -0.039. Let v = -445.0775 - b. Round v to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -8 - (-15 + (26 - (-19 + 38))) - 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 30 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 28050919.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*x**3 - 401*x**3 + 3 - 175*x**3 - 3.\nAnswer: -412*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.42 + -1.32. Let k = 32\/5 - 31\/5. Let s = 3 - 0. What is the closest to f in 1, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 4. Let n be p(4). Let g be (-2 + 1)*0 - 1. Let f be -2 - (-1 + (g - 0)). Solve 4*z = -f*z - n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3515855 to the nearest integer?\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 6*z**2 + 7*z + 3. Let h be q(-5). Let v = h - -84. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -214, -430, -646, -862, -1078, -1294?\n\"Answer: -216*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 62 from 482926.77.\nAnswer: 482864.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -43730 divided by 2045\nAnswer: -8746\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.16 + -0.16. Let g = o + -10. Put 1\/6, g, 5 in decreasing order.\nAnswer: 5, 1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 9*g - 10. Let s be z(7). Let p(w) be the second derivative of -w**3\/2 + 3*w**2 - 2*w. What is p(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.09907 kilograms in tonnes?\nAnswer: 0.09309907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*m + 10, -3*m + 7*c + 1 + 10 = 0. Do 1\/15385 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -2*g - 57, -268*g = -276*g + 4*v - 52 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1085.\nAnswer: -2\/1085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/48)\/(1\/2). Let s = 13 + -9. Suppose 0 = -s*r - 0*r. Which is greater: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2)*v*(v\/v**(-5))\/v)\/(v**(-2\/13)*v*v*v**(2\/7)) assuming v is positive.\nAnswer: v**(261\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 253166084, 253166083, 253166082, 253166081?\n\"Answer: -u + 253166085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -754 (base 15) to base 7\nAnswer: -4552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + 130 + 32. Let l be -5 - (2 + 18\/(-10))*g. Determine p so that -2\/5*p**2 + 0 - l*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1377*u = 1410*u - 660 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71956128 to the nearest integer?\nAnswer: 8483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15092?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i. Let l(j) = -196*j**2 - 2*j. Determine -l(b) - 2*r(b).\nAnswer: 196*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3663353 to the nearest integer?\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 - -0.8. Let u = 3.6506 - 1.6506. What is the closest to u in -2\/11, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 768.99997952 - 769. Round z to 6 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1015 and -37\/406.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325673.\nAnswer: 325673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 93 + 308 = 0. Let c = 79 + q. Let d be (c\/(-14))\/(2\/(-28)). What is the highest common divisor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16351852*f - 16351680*f + 32703685*f.\nAnswer: 153*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.484, -2\/19, 0.3, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i - 3*i - 4*i)*(1 - 2 + 0)*(31*i + 77 - 77) as c + b*i + g*i**2 and give g.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 9*a**2 - 22*a + 124. Determine h(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5932 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z + 14. Let x be 8\/z + (-2)\/(-1). Which is the nearest to 0? (a) 0.1 (b) 1\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c3c + 1589?\nAnswer: 81c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -717230 (base 9) to base 5.\nAnswer: -102101241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*d**3 + d*u - 35137*d - 30701069*u wrt d.\nAnswer: -108*d**2 + u - 35137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.02823 and -4.7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*f**2 + 8\/3 - 4*f.\nAnswer: 4*(f - 2)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-3)*(-21)\/14. Suppose 0 = -b - p + 4, -b = 2*j - 44. Suppose -216 = 3*q - 4*q. Calculate the greatest common divisor of j and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/6)\/(-3 - (-24665)\/8220).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1496286, 2992712, 4489140, 5985570, 7482002, 8978436?\nAnswer: 10474872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t - 4*t + 3*t**2 + (4*t - t - 5*t)*(3*t - 2*t + 0*t) + (t**2 + 3*t - 3*t)*(2 + 2 - 2).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 + 13*y**2 + 3*y + 1. Suppose -3*c = 8*r - 11*r + 33, 3*c + r = -13. Let v be b(c). Solve v + 5 = -8*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b + 31*b = 66*b + 592 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16285511833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 4)*(-2 + (-6)\/8). Let w(d) = -d + 33. List the prime factors of w(n).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7236 - 7223. Let o(l) be the second derivative of 0*l**2 + 0 - 9\/4*l**4 - 31\/6*l**3 - x*l. What is the second derivative of o(v) wrt v?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1520 divided by 5.\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5046072 minus 32?\nAnswer: 5046040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6097 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 77.8, -5, 1, -1\/11.\nAnswer: -49, -5, -1\/11, 1, 77.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250, -589, -1002, -1507, -2122, -2865, -3754?\nAnswer: -4807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*c - 328, 6*c + 592 = c - 3*q. Let j = 70 + c. Let i = -15 - j. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8084924587.\nAnswer: 29, 13687, 20369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1180921?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*d - 19*d**3 - d**4 + 4*d**4 - 61*d + 51*d**2 - 5*d**3 = 0 for d.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**3 + 2*q + 5. Suppose 0 = 6*d - 18 + 6. Let y(f) = 5*f**3 + 2*f + 4. Determine d*j(a) - 3*y(a).\nAnswer: -3*a**3 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 0.2, 927, -0.5, -39.\nAnswer: -39, -0.5, 0.2, 0.7, 927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 10:40 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60522\/13 or 4656?\nAnswer: 60522\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 219. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 871870215 or 871870216?\nAnswer: 871870216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Let s = -314.7 + 341. Let g = -26 + s. Which is the third biggest value? (a) g (b) f (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 12:23 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0 - 24. Let g be (3\/6)\/(2\/d). Let v(w) be the first derivative of -w**2\/2 + 3. What is v(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4178*g + 78 = -4180*g, -4*n - 6*g - 290 + 29 = g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h**3 - 81*h**2 - 8*h + 21. Calculate u(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l - 54*l - 112 - 20 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 0*p**3 + 0*p**2 + 141*p - 2\/5*p**5 + 76 + p**4. Find the first derivative of k(v) wrt v.\nAnswer: -8*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s**2 - 15*s + 5. Let z(h) = -5*h**2 + 8*h - 3. Calculate 6*v(i) + 11*z(i).\nAnswer: -i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -364*n**3\/5 - 2108*n**2\/5 + 86072*n\/5 - 20064 = 0.\nAnswer: -19, 110\/91, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 24*h - 22. Let q be d(-20). Solve 0 = -x + q - 296 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*b - 16. Let g be 3 + -2 + 0 + b. Let o(j) = 15*j**2 - 3*j - 3. Let r be o(-2). What is the highest common factor of r and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*c = -250*c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - 9*h**2 - 81*h + 379. Let l be r(5). Let n be 3\/(278*(-5)\/(-86)). Let x = 2\/139 + n. Which is the nearest to l? (a) -3 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 4. Let v be x(5). What is the second derivative of -5*y**3 + v*y**3 - y**3 + 6*y + 6*y**3 wrt y?\nAnswer: 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -73, -65, -55, -43, -29?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347972081?\nAnswer: 3, 19, 227, 104179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 10360.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axx when three letters picked without replacement from xcssxsaxscxcx.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -2. Let y = o - 3. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 101, 179, 253, 323?\n\"Answer: -2*q**2 + 84*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3032.4884 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxx. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*c**2 + 799*c\/2 + 25.\nAnswer: -(c - 50)*(16*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3*u + 9, 2 = 2*k + u + u. Suppose -k*w = -52 - 56. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -649, 3, -32?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -2.83350475.\nAnswer: -2.73350475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 1. Let i = 49 - 50. Let b be (2 + -7)\/(i + 0). Let v(n) = -6*n**2 - 5. Determine b*u(t) + v(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, l: 1, g: 1, r: 1, f: 2}. What is prob of sequence lrf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 41. Suppose 3*q = 2*l + 12 + 17, -l = -2*q + 18. Let n = 20 - q. What is the remainder when u is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17219.01699965 - -17183.017. Let w = 95 + -59. Let o = w + s. What is o rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 4, -134, -13, 0, 2 in descending order.\nAnswer: 4, 2, 0, -3, -5, -13, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b**2. Let n(g) = -7*g**2 + 6*g - 6. Let p(v) = 6*v**2 - 5*v + 5. Let j(r) = 3*r - 21. Let t be j(9). Let i(u) = t*p(u) + 5*n(u). Give a(i(y)).\nAnswer: 10*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 0 - 20\/3*s**2 - 5\/3*s.\nAnswer: -5*s*(s + 1)*(3*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/10)\/3 - (-297)\/135. What is the units digit of 163 - c*4\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128801 is divided by 3220.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 545*o = -550*o - 27, 5*r + 15 = -5*o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 = -14. Suppose s = l - 4. List the prime factors of (l\/(-5))\/((-4)\/30).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 b when three letters picked without replacement from {b: 2, g: 9}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 184*j**2 + 3*j. Let f be k(-2). Suppose -u + f = u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30319637?\nAnswer: 4253, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 24*s - 265. Let m be y(13). Suppose m*n - 93 = 377. Suppose -z - 4*v = -29, -3*v = 14 - 2. Calculate the highest common factor of n and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -1036681952403.\nAnswer: -1036681952402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/9 - 19*p**4\/3 - 29491*p**3\/3 + 444089*p**2\/9 + 235768*p\/3 - 473200 = 0.\nAnswer: -273, -3, 4, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37732 divided by 2.\nAnswer: 18866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 + 5*i**4 - 3*i**4 + (-2*i + 2*i + i)*(-2 + 2 + 2*i**3) + (-5*i**4 + 5*i**4 + i**4)*(-42 - 12 + 6).\nAnswer: -47*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.45137911 rounded to zero dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14375.36587 - 36195.\nAnswer: -50570.36587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/4 of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1673 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007326 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -25.9. Let q = 0.03 + 0.27. Let o = -0.1 - -0.3. What is the closest to 0.1 in j, o, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68632 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*u = 9, 2 - 7 = o - 4*u. Let j be -1*o\/1*0. Suppose j = 3*a + 6, 2*x - 60 = -x - 3*a. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 522 = j, -84*g - 412 = -88*g + 2*j. Solve -1008 = -8*q - g*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*d + 188 + 2452 = 67*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 25*j + 103 = -20*j, -11*s - j - 397 = 0 for s.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1598*q**2 - 17*q**3 - 12772*q**2 - 1741*q**2 + 19*q**3.\nAnswer: 2*q**3 - 12915*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3365904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1. Let o(r) = -11 - 83*r + 19 + 246*r - 76*r - 85*r. Calculate n(a) + o(a).\nAnswer: 2*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 689.\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -191 divided by -405\nAnswer: 191\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(143)*1*-1)\/(sqrt(22)\/sqrt(2)*2) + 4*(sqrt(468) - (-1 + sqrt(468))) + -4*(sqrt(468) + -2)**2.\nAnswer: -1884 + 94*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247811?\nAnswer: 247811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*2 - (sqrt(396)*-1 + sqrt(396))) + 5.\nAnswer: 5 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7680 and 6?\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46920832 and 7168.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1603790 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/7 and (-2)\/24*1197\/38.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x - 16. Let d = x - -8. Suppose -70 = -3*m - g - 14, d = m + 3*g - 16. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 86 + 138. Let l = 1355 + -739. What is the highest common divisor of l and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 - 0.31. Let z = p + -0.01. Let q be (-36)\/77 - 4\/(-22). Which is the closest to z? (a) -0.1 (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*u + 3. Let j(l) = -62*l**3 - 2*l**2 + l + 2. Let t be j(u). Suppose -2*d + t = 7. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 205746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0707 times -0.3?\nAnswer: -0.02121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l**(2\/5)*l)\/l)\/l))**(-50)*l\/(l\/l**(-7))*l*l\/(l*l**(1\/6)\/l))\/(((l**1*l)\/l)**20*(l\/((l**(1\/3)*l)\/l))**(30\/11)) assuming l is positive.\nAnswer: l**(-7061\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, 1\/5, 0, -1\/5 in ascending order.\nAnswer: -1\/5, 0, 1\/5, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26.609 and 71.3?\nAnswer: 1897.2217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -9. Let x = -11 - -3. Let h = 3 + x. What is the nearest to 1 in c, h, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) -38 (c) 4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -500 - -341. Which is greater: -161 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2 - 4*b + 1. Let q(m) = 1 - 42*m + 7*m - 3*m**2 + 32*m. Determine -2*i(o) + 3*q(o).\nAnswer: -o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 506889611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5194 + -5134. Solve 30 = 5*c + y for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/204017 and -28\/9819?\nAnswer: 1836153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -44*y + 41. Let h(r) = 88*r - 83. Let s(v) = 9*d(v) + 4*h(v). What is the derivative of s(l) wrt l?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84081.\nAnswer: 3, 28027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) - (-26)\/6. Calculate the common denominator of 22\/4 - 12\/(-3) and 1\/14 - 16\/f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.41158 to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/9 - 10036*m\/9 + 1749470 = 0.\nAnswer: -6273, 1255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**3\/6 - 5*h. Let f(b) = -4*b + 1. Let l(y) = 9*y**2 + 108*y - 27. Let s(u) = 27*f(u) + l(u). Give g(s(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 3*(-2)\/(-6). Suppose -2*v - 4 = -3*v - 5*n, h*v - 3*n = 16. Let b = v + 27. 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: Solve 3*u**3\/7 - 6*u**2\/7 - 15*u\/7 + 18\/7 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-136)\/6)\/(48\/(-72)) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 355\/(-25)) + (-6 - 1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0*h + 15. Let o(z) = 2 - 2*z - 22 - z. List the prime factors of o(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/39*3*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 3)*(-38 - 55 - 45)*(-3 + 23*k - 12*k - 12*k) in the form o + p*k and give o.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3808341 by -1.\nAnswer: 3808341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(3\/5))\/(w*w**5)*(w**(1\/4)*w)**(3\/4))**(2\/15))**(-24) assuming w is positive.\nAnswer: w**(277\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 981, 1184, 1523, 1998, 2609?\nAnswer: 3356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126229\/316 + 13\/316. Let r = o + -407. Let y = 37583\/8 - 4688. What is the common denominator of r and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3 + 10\/4))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1206)\/(-522) + -2)\/((-7)\/(56\/(-36)))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -277047 + 276982. Let y = 259\/3 + -87. Sort i, -2\/19, y in descending order.\nAnswer: -2\/19, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41227, -82729, -124263, -165829, -207427, -249057, -290719?\n\"Answer: -16*z**2 - 41454*z + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9370858?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5334, 10657, 15978, 21297, 26614, 31929, 37242?\n\"Answer: -r**2 + 5326*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 5*b - 3. Suppose f - 32 = -3*f. Does 5 divide i(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*-3*(-4)\/(-3). Suppose 2*u - u - a = 0. List the prime factors of u\/20 + (-116)\/(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + p - 6. Let w be c(-11). Suppose -70 - w = -2*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - 4 + 4)*(-25 - 287*i**3 + 26 + 547*i**3) + (i**3 + i**3 - i**3)*(2*i - 3*i - i) in the form m + k*i**2 + u*i + r*i**4 + x*i**3 and give r.\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-9)*((-2)\/5)\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 2\/(-21)*6. Suppose 4*h + 2*k + 16 = -0*h, -5*h - 3*k - 19 = 0. Let s = 3 + -3.5. What is the second smallest value in h, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (3 - (0 + 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 859 = n, -4*n + 891 = 2*i - 2557. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*s + 11*s + 27*s + 16*s to the form k*s + p and give k.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10005 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39.11 - -39. Is o equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134 and 3819?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/25)*h**8\/h)\/((h*(h*((h\/h**(6\/5)*h)\/h)\/h*h)\/h)\/(h\/(h*h*h*h**12*h))) assuming h is positive.\nAnswer: h**(-218\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2\/13 (b) -31 (c) 1 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 2*h - 1. Let p be u(-1). Let x be 1\/((3 - 2)*1). Let w = 5 - x. Solve p = t - w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**4\/12 + 5*t**3\/6 - 17*t**2\/2 - 63*t. What is the remainder when 48 is divided by i(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438063295 to the power of 1\/3, to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3406384.\nAnswer: 2, 211, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/346?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 861707881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 2088 = 232. Is 56 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4947?\nAnswer: 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21433722923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(6000) - (sqrt(420)\/(-1*sqrt(7)) + sqrt(60) - sqrt(60)))\/(sqrt(120)\/(6*(sqrt(10) + sqrt(70)\/sqrt(7)))))**2.\nAnswer: 259920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*61.03502.\nAnswer: -12.207004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000101110 + -1111100000100101?\nAnswer: -1110100111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixiiixiixi. Give prob of sequence xixi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 + 246\/4. Let v = -243\/4 + y. Factor v*t - 1\/4*t**2 + 0.\nAnswer: -t*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 1 - 1 - 1. Let r be 6\/37468*(32888\/(-12) + u). Let i = r + -1\/551. What is the common denominator of i and -15\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 - 104*a**2 + 60*a + 282. Give b(34).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3124.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 3 - 348\/((-9)\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 538, 1845, 4386, 8569, 14802?\nAnswer: 23493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 647*j - 671*j - 24. Let l(o) = 4*o - 3*o**2 + o - 4 - 2*o. Let t(r) = -r + 1. Calculate j*l(q) - 4*t(q).\nAnswer: 3*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1158*b**2 + 2771*b**2 - 7*b + b + 8232*b**2 + b.\nAnswer: 9845*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7e + 93?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 398156281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y - 9 - 9. What is the tens digit of (y\/(-3))\/(-2 - (-528)\/261)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.031699336 and -764.047.\nAnswer: -764.078699336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.3 + 8. Let z = d + 9. Put z, 6\/11, -0.4 in ascending order.\nAnswer: -0.4, z, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r - 24*r - 21 = 3*b, 3*r - r + 5*r - 7 = 5*r + b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68080 divided by 80.\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -191*d**3\/3 + 65*d**2\/2 + 2*d + 220. Find the second derivative of r(s) wrt s.\nAnswer: -382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 350*h**3*k*l*m**2 + 2*h**3*k*l + 3*h**3*m + h**2*k*l*m + 5*h**2*k*l - 3*h*k*m**2 + 2 wrt m.\nAnswer: 700*h**3*k*l - 6*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 849403927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k - 40. Let u(y) = 3*y - 40. Give 2*j(p) - 3*u(p).\nAnswer: -p + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/(-342))\/((-1)\/27)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -15, -9, 15, 63, 141, 255, 411?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4 - 4*t**3 + t**2 + 16*t + 12 = 0.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 - -42 - (-6 - 16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -260*x + 7. Let f(t) = -87*t + 2. Determine 7*f(j) - 2*s(j).\nAnswer: -89*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1472951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 9. Let v be z(-3). Differentiate -2*p**3 - 8 + 2*p**3 + 2*p**v wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 8*d - 4. Suppose 6*z = 24 - 6. Determine h(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 10. Let s be (12 + 1144\/(-96))*12. Find the first derivative of -3 - s - 5 - 7*p**j - 4*p**4 wrt p.\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaaiaiaaaaaa. Give prob of sequence aii.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:33 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 7:46 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1166 = 2*w - 23*w + 34*w + 9*w for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/6 and -149\/3593220?\nAnswer: 3593220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2783519 micrograms?\nAnswer: 278.3519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*z + 243. Factor -27*d**2 - 81 - 3*d**5 + 0*d**4 - 30*d**3 - 21*d**4 + z*d**2 + 81*d.\nAnswer: -3*(d - 1)**2*(d + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 (base 4) in base 10?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 22*a**2 + 2*a - 1. Let g be f(-2). Suppose -g - 45 = -u. Let l = 212 - u. Is 28 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -2 - (-3112)\/3352. Let t = a - -22357\/2095. Calculate the common denominator of 290\/42 + (-2)\/6 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/44 >= -991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 327*n + 480*n + 3 - 3)*(-3 - n**2 + 3).\nAnswer: -807*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 412\/13 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4656 = -u - 5*w, 0 = 2*u - 4*w + 495 - 9807. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**4\/4 - m**3 + 7*m + 23. What is the remainder when n(6) is divided by (-1 + 3)\/(2\/29)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380183 (base 9) in base 2?\nAnswer: 100111011100110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 32 (b) -5 (c) -5.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 9*r - 11. Let x be z(-8). What is the smallest value in 2\/25, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 3, 11, 19, 27?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42766*j*n**2 + 104*j*n*u**3 + 3*j*n + n**3*u**3 - 2*n**3 - 224*n*u wrt n.\nAnswer: -85532*j + 6*n*u**3 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(0\/2 + 1). Let s be 2 + -4 - 24\/(-10). What is the closest to b in 0, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5830914*r**2 - 4*r + 107344 wrt r?\nAnswer: -11661828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b = 39*b + 180. Suppose -5*r = -2*j - 92, 2*r + 2*j - 35 = j. Let a = r - b. Calculate the greatest common factor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 222101102?\nAnswer: 222101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2859328 divided by 8?\nAnswer: -357416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/((-18)\/(-500)) + -4)*(-5145)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6640, 26611, 59900, 106507, 166432, 239675, 326236?\n\"Answer: 6659*h**2 - 6*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/12)\/(12090\/1395).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-12))\/(-7)*12\/(-80)*-2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:54 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(105\/312))\/((-9)\/(-45)). Let d = 110 - r. Suppose x - 1 = -0*x. Calculate the lowest common multiple of d and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5726, -27475, -63732, -114503, -179794?\nAnswer: -259611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*s - 27 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 q, and 1 l when three letters picked without replacement from qacqssslslcssqtsl?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/1168 and 93\/32996.\nAnswer: 131984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(2\/3)\/p))\/p)**(-2\/37)\/(p**(1\/2))**(4\/11) assuming p is positive.\nAnswer: p**(-244\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 5) + 5 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -338 + 340. Solve -2*m - 3*m - 21 = 4*w, u*m = -4*w - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51486549?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/5 + 26*l**2 + 702*l\/5 - 2394.\nAnswer: 2*(l - 7)*(l + 15)*(l + 57)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5953 is divided by 1264.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t. Let z(p) = 3*p. Give z(h(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 11. Let z be b(-11). Suppose z = 4*t + 5 - 25. Calculate the greatest common divisor of t and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 675986078 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 20*b**2 - 23*b + 45. Let i be k(21). Suppose 0 = i*o + 7*o - 700. Suppose -o = -20*q + 10*q. Calculate the remainder when 48 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*z, 3 = -2*j - 0*j - z. Let q be 3750\/j*(-1648)\/6. Round q to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5674 * -607.2.\nAnswer: -3445252.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2530 and 7526566?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3)*-6)**2 - -1*sqrt(3)*-6.\nAnswer: -6*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n + 218109101 - 592149101 = 0. What is n rounded to the nearest 100000?\nAnswer: 12500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/(-80) + (1 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(7\/4) - (-1938 + -2). Let k = 3498 - q. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2731 = 121*h + 4062 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44*(-3)\/(-48)*4. Let d be -1 + -4 + (-248)\/1. Let k = d - -259. Let r(l) = 2*l + 1. Let t(o) = -4*o - 2. Determine c*r(p) + k*t(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9655*a**2*w + 11*a**2 + 28*a*w + 593*w - 1 wrt a.\nAnswer: -19310*w + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x**2 + 15. Let p(i) = 3*i**2 - 7. Let g(v) = v**2 - 27*v + 120. Let h be g(21). Calculate h*l(k) - 13*p(k).\nAnswer: 3*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s + 36. Let k be d(7). Let f = k - -21. Let c(b) = -7*b + 1. Let o(v) = -v. What is f*c(m) - 4*o(m)?\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 23\/6, -150, -1, 3\/28 in descending order.\nAnswer: 23\/6, 3\/28, -1, -3, -4, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 32325475?\nAnswer: -32325478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -57056 not equal to -57056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163\/3 - -55. Let k = -5 + 7. What is the closest to o in 3, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 67 - 13. Suppose -2*g + 2 = o + 11, -4*g - 5*o - 33 = 0. Let x be 15\/3 + (g - 1). Solve -p = -5*u + x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3 + 828*p**2 - 11997*p - 125580 = 0 for p.\nAnswer: -7, 23, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 1, -0.3, 1.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/181 + -1251\/724. Find the common denominator of u and 436\/(-48)*-2 - (-2 + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(272)*-4 - (sqrt(272) - ((2 + sqrt(272))**2 + 5)).\nAnswer: 44*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2680 from -0.05.\nAnswer: -2680.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 10 - 0, -3*d = z - 7. Solve -x = 3*v + 3, -3*x + 4*v + d = v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 1 = 21 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14525 - 3423055?\nAnswer: -3442024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2\/7, -1\/2, 0.3, 38108?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (44130\/(-4158))\/5 - 73\/((-21462)\/630)\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 3\/23, -0.042634?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/2*-13*96\/(-70304)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-10\/9)*v\/(v*v*v**(-17\/3)*v*v)*v**(-5\/8)\/v**(-30\/7) assuming v is positive.\nAnswer: v**(2629\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 7, u: 2}. Give prob of picking 1 r and 1 s.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -903*y + 125*y - 523*y + 132702 for y.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 402890416 to the power of 1\/2, to the nearest integer?\nAnswer: 20072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214786944806 + 3*r + 214786944806.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - -1. Let n = c + -12. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33620111 + 0?\nAnswer: -33620111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 807358439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 5*r - 31, 0 = 2*z - 5*r + 3 - 22 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 22*z + 100. What is the smallest common multiple of q(-25) and 37?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.14 (b) 3 (c) 25\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + (81 - 41 - 12)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*i. Suppose 3*z = -i*z + 18. Solve -4 - z = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13566798.\nAnswer: 2, 3, 7, 19, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcc when three letters picked without replacement from cggggccccgggg.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2915480 divided by -364435.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-72))\/((-2)\/12). Suppose -4*m + 930 = -3*n, 926 = 4*m - 3*n + l*n. Is 31 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*g - 23072, 232*o - 23068 = 228*o + 4*g. What is the thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 26 - 22)*(-6*a**2 + 2*a**2 - 3*a**2).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 1. Let o(n) be the third derivative of -2*n**4\/3 + 2*n**3 + 2*n**2. Let f(u) = -60*j(u) - 5*o(u). Does 10 divide f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443981711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 0.16, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 34 + -33 - -33\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/20)\/((-6)\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246366.\nAnswer: 2, 3, 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -248 - -579. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -509*u. Let l(q) = -4*q**2. Give h(l(j)).\nAnswer: 2036*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - a + 162 - 178 = 0, -4*v + 11 = a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2*2*(-5)\/(-80)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9099 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68796 is divided by 68774?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -27*w**4\/5 + 534*w**3\/5 - 3816*w**2\/5 + 11808*w\/5 - 2688 = 0.\nAnswer: 4, 70\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003368077259 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 0.065, -0.1, -29905?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8916*r + 1730. Is 22 a factor of s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 141, 135, 129, 123, 117?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/((-504)\/80)*6\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.409 - -89.409. What is the closest to 0 in -3, -5, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*n - 76. Let f be 3 + (0 - (6 + -394)). Let k = f - 388. Solve 0 = 2*t - 4*j + 8, n = -k*t + 7*t + 5*j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h**3 + 3*h**3 + h**3 + (-3*h**2 + 3*h**2 + 2*h**2)*(2*h - 3*h + 0*h) + 837767 - 418896 + 15*h**3 - 418797.\nAnswer: 11*h**3 + 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -123*k + 219*k - 188*k - 2208 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 9. Let h be v(-9). Solve 0 = -q - a + 2, 3*a = -q - h*a + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 106, 4\/5, -289\/3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 49*i - 333. Let r be q(-7). Solve y = -4, y = 60*z - r*z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-3 + sqrt(104) + sqrt(104))*-2)\/sqrt(8) - (sqrt(65)\/sqrt(5) + -2)*5.\nAnswer: -3*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(400)*1)\/sqrt(2) - (4 + (sqrt(72) + 1)*-2).\nAnswer: 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 + (-3 - -6) - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/(4\/(-40)). Let z(o) = 3*o + o**2 - 2 - 2 + o. Calculate z(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272, 306, 398, 578, 876, 1322?\nAnswer: 1946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2 = -18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 20 + 20 = 0. Suppose 4*w - 88 = -4*f, -w + 3*f = -32 - t. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37843*f**2 - 19315*f**2 - 18919*f**2.\nAnswer: -391*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -g, 10*g - 3*f - 10 = 9*g. Calculate the remainder when 95 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -9. Let w be 16*s\/10 + -4. Let x be w\/(-22) + 0 - (-167)\/11. Solve 6*y - x = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4133 + 0.1133. Which is the fourth smallest value? (a) 2\/5 (b) -10 (c) s (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/6 + 5*a\/6.\nAnswer: a*(a + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x - 3*o + 5911, 4*x - 4*o = 4716. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5e7 (base 16) to base 5\nAnswer: -22021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1925000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*q - 6*q + 351. Let y be ((36\/q)\/(-4))\/(2\/8). Is 1 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 - q**3 - 6*q**2 - 27 + 27 to the form c*q**3 + z*q + n*q**2 + t and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -497? (a) -1\/7 (b) 3.732 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from louhozd?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 89420 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 10*h + 39. Give m(28).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**4)**(-38)*(i**(-2\/3)\/i)**(11\/3) assuming i is positive.\nAnswer: i**(971\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*l - 3*l. Suppose 2*z + 104 = 4*y + z, -l = -z. Does 27 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 3*v + 13. Let r be j(6). Let s(y) = -y**2 - 3*y + 12. Let z be s(r). Which is the third biggest value? (a) z (b) 1\/5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.6419461 days?\nAnswer: 924.402384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 394\/6 - (-18)\/54. Suppose -3*d = -6*d + q. Suppose -88 = -26*l + d*l. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211100 (base 3) in base 14?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from tmccefmb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-60) - (((-557821)\/(-2310))\/(-19) + 13)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77081, 154121, 231161, 308201, 385241, 462281?\nAnswer: 539321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -8. Let h = n - 3. Let m = -4 + h. Which is the nearest to -1? (a) 2\/15 (b) m (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/446 and -19\/14.\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -824151, -824164, -824191, -824238, -824311, -824416, -824559, -824746?\n\"Answer: -w**3 - w**2 - 3*w - 824146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 142 + (-1 + -15 - (-390 - -360)) + -25.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/7177 or 0?\nAnswer: -41\/7177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**3 - v**2 - 48*v + 131. Determine z(6).\nAnswer: -1273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 15) in base 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -2\/7*c**3 - 2\/7*c**2 - 1 + 0*c - 1\/14*c**4. Factor l(u).\nAnswer: -2*u*(u + 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**2 + 2*z - 2. Let s = 32 - 28. Let d be ((-6)\/4)\/(5\/10). Let q(n) = 4*n**2 + n - 2. Determine d*b(g) + s*q(g).\nAnswer: g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 963, 2, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198270 by -62.\nAnswer: -99135\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 1. Suppose -3*f + 3 = -3*g, -3*g + 2*f - 2 = -4. Let a(w) = -w**2 + 4*w + 6. Let s(j) = g*o(j) + a(j). Let h = 533 + -530. Give s(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.8029 to 1 dp.\nAnswer: 80.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538272 is divided by 338.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/598 and 85\/668694?\nAnswer: 15379962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v + 0*v = 34*v - 616 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nineteen quarters of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(z - z - z) - z + z + 6*z + (0 - 2 + 1)*(112 - 112 - 13*z) - 13*z + 7*z + 4*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v + 3*v)*(-9 - 1 + 4)*(2*v - v + 0*v).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169560 divided by 120.\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1)*1 + 2. Suppose 5*x - 25 + 0 = -5*c, x + 11 = t*c. Suppose 25 = -5*z - 5*l, 0 = 3*z + 11*l - 9*l + 11. Which is smaller: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, -0.8, 3\/484 in descending order.\nAnswer: 5\/6, 3\/484, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 687140, 2749335, 6186328, 10998119, 17184708, 24746095?\n\"Answer: 687399*p**2 - 2*p - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**4 + 6*r**4 - 2*r**4)*(5973*r + 357*r - 2130*r).\nAnswer: 4200*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 4)*(27 - 6 - 6)*(5 - i - 5) as r*i + u and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14*(-4 - -6)*(-19)\/(-152). Let j(r) be the second derivative of 27\/2*r**2 + 0 - 17*r + i*r**3. What is the first derivative of j(o) wrt o?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-2 + -7 - (18 - 11)) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 205*i - 2256. What is m(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(12)\/sqrt(3)*2) + 0 + 5.\nAnswer: sqrt(5)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 37*a**7\/42 + a**3\/6 - a**2 - 41*a. What is the second derivative of y(v) wrt v?\nAnswer: 740*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5\/11 - 380*r**4\/11 + 7684*r**3\/11 - 53184*r**2\/11 + 153486*r\/11 - 14364 = 0.\nAnswer: -209, 3, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 106.7, 1\/7, 5\/3?\nAnswer: 106.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 757.6 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -19159*o - 19163*o + 38319*o. Let y(r) = 15*r + 18. Give y(t(j)).\nAnswer: -45*j + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1545 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94976 and 672.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4815, 19323, 43491, 77307, 120759, 173835, 236523?\n\"Answer: -2*l**3 + 4842*l**2 - 4*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109987 is divided by 20291?\nAnswer: 8532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 772 a factor of 63726284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -725 + 1285. Let l = s + -572. What is the second biggest value in -5, l, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -37.\nAnswer: 32\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2901 - 398. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlzzllzcxuzxlu. What is prob of picking 2 l?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -944.5939 - -0.0939. Let l = z - -936.719. Let o = l - -0.081. Round o to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 13, 1\/3, 0.4, -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2077 (base 15) to base 12.\nAnswer: -3b7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**3 - 5*n**3 + 6*n**3 + (4*n - 4*n - 2*n)*(4*n**2 + 0*n**2 - 3*n**2) + 3*n**3 - 3 + 3 + 2*n - n**2 + 4*n**2 - 2*n**3 + n.\nAnswer: 5*n**3 + 3*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 12 = -0*d. Find the third derivative of -15*n**4 - 4*n**2 + 14*n**2 + 2*n**2 + d*n**2 wrt n.\nAnswer: -360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52148, 52149, 52150, 52151?\nAnswer: 52152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3642 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21039 is divided by 1402?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -74*u**2 + 10*u - 32. Differentiate v(b) with respect to b.\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 684\/(-26220)*(-48 + 53)\/(1*-1).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2412*z**3 - z - 2. Let j = 0 - -6. Let o be 1*j\/4*(-16)\/(-12). Let f be h(o). What is f rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-2)\/(-4) - 0. Is -3\/4 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 3*s**2 - 2*s - 1. Let h be p(-2). Suppose 12 = 4*l - 2*l. Is (1 - h)*l\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -672648\/25 or -26905?\nAnswer: -672648\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2159 + 4149?\nAnswer: 62a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-1105))\/((-2484)\/7176)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2899.3999922 - 2899.47. Let l = u + 0.07. Round l to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 285 + -285. Suppose b = 3*x - 3*y - 65883, -115979 = -5*x + 3*y - 6178. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12062 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -345 + 350. Let i(a) = -10*a**2 + 50*a + 7. Let g be i(m). Solve 0 = 5*x + g - 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -314677587, -314677586, -314677585, -314677584, -314677583?\nAnswer: -314677582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 18. Put l, -2, 0 in descending order.\nAnswer: 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-6)*n**15\/n)**(-4\/21)*((n**(-3\/2)\/n)**(-7\/2))**(-1\/13) assuming n is positive.\nAnswer: n**(-243\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = 3*m. Let v(a) = -5*a**3 - a. Let n be v(m). Is (n\/5)\/((-4)\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 204*h**2 + 6936*h + 78608.\nAnswer: 2*(h + 34)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*t - 39 - 171 = -134*t. Let q(p) be the first derivative of p**3\/3 - 6*p**2 + 43. What is q(t)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(0 + i + 0) - 6*i + 2*i + 3*i + 3*i - 5*i - 4*i + (85 + 22 - 257)*(-4*i - 2*i + 5*i).\nAnswer: 142*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65136?\nAnswer: 2, 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26577 to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 137673617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x**3 + 4*x**2 + 37*x - 63. Let k(a) = -7*a**3 + 4*a**2 + 36*a - 54. Determine 7*k(d) - 6*v(d).\nAnswer: -d**3 + 4*d**2 + 30*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, -42, -384, -1088, -2274, -4062, -6572, -9924?\nAnswer: -14238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 1\/180*m**5 - 1\/1260*m**7 + 0 + 6*m**2 + 0*m**3 + 0*m + 1\/720*m**6 + 0*m**4. Solve z(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-861)\/42 - 10914\/204\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/11, -20, -2\/3, 0.5 in descending order.\nAnswer: 1, 0.5, -2\/11, -2\/3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2691346571?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6)\/((-6)\/(-27)). Suppose s + 5 = 2*d. Let h(p) be the second derivative of -p**3\/6 - 8*p. Give h(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 1 + sqrt(112) + 5)*2)**2.\nAnswer: 32*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67097 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 80*r - 1721. Let g be s(18). Put 0, 4, g in decreasing order.\nAnswer: g, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/((b*b\/b**(-11))\/b))\/b*b)\/b)\/b)\/b*b*b**(-18)*(b**(-3\/8))**(18\/5) assuming b is positive.\nAnswer: b**(-647\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*b + 955*b + 557*b.\nAnswer: 1234*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -1, 1727, -3 in ascending order.\nAnswer: -3, -1, 3, 5, 1727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/21)\/(76\/(-11704)*11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 10*l - 10. What is h(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4884.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -96099.241 rounded to the nearest 10?\nAnswer: -96100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*f + 3*p, f = 3*p - 9 + 3. What is the second derivative of -f*t + 9*t - 9*t**3 + 10*t wrt t?\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191664794 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b**2 + 43*b**2 + 14*b**2 to w + s*b**2 + i*b and give s.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/10 - (7 - 5). What is the closest to 2 in y, 0.4, 3\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 6) + 713\/92. Find v, given that 0 - 1\/2*v**2 - 1\/4*v**3 + y*v = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 4*w**2 + w)*((-1 - 2 + 5)*(1 + w - 1) - 4*w + 2*w + w) in the form h*w**3 + p + v*w + o*w**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.99917 + 22. Round l to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-1)*l))\/l)**(9\/2)*(l\/(l*((l*l*l**4*l*l)\/l)\/l*l))\/(l\/l**(-3\/2)*l) assuming l is positive.\nAnswer: l**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1008 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1899*k**2 + 1139*k + 24. Let u(h) = 7596*h**2 + 4554*h + 88. Let v(d) = -11*l(d) + 3*u(d). Find the second derivative of v(x) wrt x.\nAnswer: 3798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -570*b + 21096. Determine a(37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1826543, 1826541, 1826539, 1826537, 1826535?\n\"Answer: -2*p + 1826545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 n when four letters picked without replacement from nnnnnnnnnnnnnnnnnzzn?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/26840 and -149\/286212.\nAnswer: 31483320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 4 = 2*x + 22, -20 = 4*x - 4*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2520675 divided by -504135\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -488533 greater than -488537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -251 - -264. Let v = 45308 + -45321.0045. Let z = v + y. What is z rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**2 - 40. Let p(c) = -42*c**2. What is i(p(s))?\nAnswer: 10584*s**4 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -146 or 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -241189.\nAnswer: -4\/241189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/7 + 8*t**2\/7 - 16*t\/7 - 32\/7.\nAnswer: 4*(t - 2)*(t + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**3 + 11*q**2 - 6*q + 13. Let m(o) = -o**3 - o**2 + o - 1. Let n(g) = d(g) + 6*m(g). What is n(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.5774l in millilitres?\nAnswer: 78577.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*x**2 + 15*x**2 - 3 + 0 + 0.\nAnswer: -128*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1405181 - 6.663\nAnswer: 1405174.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159387874*p**2 + 121280146*p?\nAnswer: -318775748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/19 (b) -41 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Suppose 2*z = -2*v + 30 - 10, 0 = -z - a. Let h be (-2)\/6 - (-292)\/v. Calculate the highest common factor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 6, -1, 0.05, -29, -53, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 - 2*o**4 + 3*o**4)*(-3 + 0 - 2 + (5 - 4 - 3)*(-2 - 5 + 3) + 3 - 2 - 4 + 0 + 0 - 1).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5294904 plus -462.1?\nAnswer: -458.5705096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2123521, -4247044, -6370567?\n\"Answer: -2123523*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 93*o = -182*o + 90*o - 16, -209*j - 278 = -5*o - 4264 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/10*(-195)\/45864*-28.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + 5*k + 0*k)*(-8 - 3 - 3 - 7) to x*k + y and give x.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6054 divided by -3027\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:50 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 6:30 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 922*n - 8715 + 31001 - 9895 + 30943 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/26481 and -43\/185367.\nAnswer: 185367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**6\/6 - 3*y**5\/5 + y**4\/2 + 2*y**3\/3 - 3*y**2\/2 + y - 11648. Factor p(b).\nAnswer: (b - 1)**4*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47731754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 876835531 less than -0.26?\nAnswer: -876835531.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159 and 7897?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 157\/(-1)*2\/(-4) + 26 + (-1586)\/52?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 896474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2284\/105 - 106\/21. Let m = 80\/3 + v. What is the biggest value in -0.2, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 3*b**2 - 6*b - 7. Let v be u(-3). Suppose v*r = 8*r + 453. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 14. Let r(x) = -1935*x**2 + 3860*x**2 - 1969*x**2. Calculate b(r(v)).\nAnswer: -88*v**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2425*t - 16988. Let g be y(-7). Let a = 520 - 2662\/5. Is a equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37727222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2621.\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -0.4. Let h = 1933.7 + -1937.7. Which is the nearest to 0.1? (a) 9 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*(2*sqrt(171) + sqrt(171) + -2) + 0).\nAnswer: -180*sqrt(19) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 682 - 1443. Let d = -4553\/6 - y. Find the common denominator of d and 19\/94.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239\/472*(-40)\/(15\/(-3))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3367?\nAnswer: 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3603 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1810754950 and 1930.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -1)\/(2 + 0). Suppose o = 2*u - 4*u + 10. Suppose 0 = u*d - 2*h - 13 + 36, -d = h - 1. Which is bigger: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 15, o: 5}. What is prob of sequence goog?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 22. Let r(o) = -108*o**3 + 4*o - 30*o**3 + 8*o**2 + 21*o**3 + 4 - 18*o. Let u be r(q). What is u rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144884973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 13, -25\/49, -8\/49?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 30927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from {w: 1, g: 1, y: 1, o: 2, p: 1, z: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -855 by -145.\nAnswer: 171\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*p + 89113 = 5*p, -3*p + 222814 = 5*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 7:27 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = -5*s, 0 = -s - 6*h + h + 25. Suppose 3*b - 36 = -s*b. Suppose 0*d + b = 2*d. Solve d = -4*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -2\/3, 4, 1\/18889?\nAnswer: 1\/18889","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16510900 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -29, 0.3, 93\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(2057) + -1 - sqrt(2057))**2 + 5 + 0)*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 356.8 - 357. Which is the closest to -4? (a) k (b) -4 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + 1 + -52 + 6 + 61?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1609)\/(((-645)\/90)\/43).\nAnswer: 2, 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35 + v - 35 + (-2*v - 3*v + 3*v)*(5 - 5 + 1).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1788835, -1788642, -1788449?\n\"Answer: 193*o - 1789028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 144*q**5 - 583*q.\nAnswer: 2880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-80))\/((-2)\/(-10))*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 18169506.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (10 - 5) - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 z when four letters picked without replacement from zhhhzzhzhzhh.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3.5 * 28\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14076 and 175950.\nAnswer: 351900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 2. Let u be -5 - ((-61)\/8 + 51\/(-136)). Determine c(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 8*h - 10. Let j be u(7). What is the units digit of (-12)\/j - 3 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 835*t**3 + 2189*t**3 + 3541*t**3 - 2112*t**3 + 3486*t**3.\nAnswer: 7939*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-15))\/(-7) - (154\/42 + -4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -n - 33, 398 = 2*t + n + 413 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18430, -36991, -55676, -74485, -93418, -112475?\n\"Answer: -62*r**2 - 18375*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -16*i**2 + 10*i + 4. Let c(r) = -2 + r**2 + 3 - r + 4*r - 6*r**2. Calculate 10*c(w) - 3*p(w).\nAnswer: -2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 3:23 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -127 (b) 9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1929 is divided by 70?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -2*g**7\/105 + g**6\/10 - 5*g**2. Find q such that f(q) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0218 times 14.8?\nAnswer: -29.92264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 187138.6 tonnes in kilograms?\nAnswer: 187138600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 4*i**2 - 5*i - 5. Let j be p(-3). Suppose -25 = 2*w + 5*r, -2*r = -0*w - w + j. Let l be 1 - 12\/(-70)*w. Is l <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1104 + -2?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 106 - 101 + 207.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**2*p*t**2 - 2575*l**2*p*t + l**2*t - 4*l**2 - l*p*t**2 + 8*l*p + 31*l*t**2 + p - 4*t**2 + 229*t wrt l.\nAnswer: 8*p*t**2 - 5150*p*t + 2*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*i - 472 - 218. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582.2475ug in kilograms?\nAnswer: 0.0000005822475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*x - 5*v - 11, -5*x + v + 20 = 0. Suppose 3 = -x*u + 15. Suppose 314 - 82 = u*t. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 717.2007mg?\nAnswer: 0.0000007172007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*d + 61252, -2*b + 61264 = 16*d - 20*d. What is d rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 125174?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u + 1. Let k(w) = -1254*w + 3762*w - 1252*w - 1255*w - 1. Calculate b(d) - 2*k(d).\nAnswer: -4*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16441.52 + 16983. Let f = n + -543. What is f rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75898, -151542, -227186, -302830, -378474, -454118?\nAnswer: -529762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4267, 15062, 32383, 56230, 86603?\nAnswer: 123502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -32, -40?\n\"Answer: -8*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 42*-193029\nAnswer: -8107218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Suppose j = 2*g - 5*g - 8, m*j + 16 = -g. Let l(k) = -4*k**2 + 4*k + 1. Let w(v) = v**2 - v. What is g*l(h) - 2*w(h)?\nAnswer: 2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*s + 3*f, s + 2*f = f - 1. Let n(i) = -2*i**2 - 5*i + 4. What is n(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 159677807?\nAnswer: 159677807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2784.7*5.\nAnswer: 13923.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**7\/1260 - l**6\/72 - 119*l**5\/360 + 3091*l**2 - 2*l. Factor r(t).\nAnswer: t**2*(t - 17)*(t + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3388)*-1 + sqrt(3388))*5)\/(-3*sqrt(64)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72.166 - 72. Let c = v - 0.16701. Round c to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -16. Let x(t) = t**3 - 11*t**2 + t - 11. Let l be x(11). Solve 3*o - 3*m + 5 = -o, -d*o - m - 25 = l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 22*w**2 - 8*w - 9. Let p be c(-1). Suppose -p*g - 16148 = -25*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15040464289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -48*t - 170, -2*t - 52 = 30*i - 32*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9371025 and 1350.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 3*z**2 + 5*z + 18. Give a(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.87 - -0.23. Let y = -7.6 - -9. Let j = y - r. Which is the third biggest value? (a) -3 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.1 and -152.\nAnswer: -155.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9545, 8480, 7419, 6362, 5309, 4260, 3215?\n\"Answer: 2*p**2 - 1071*p + 10614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**5\/60 - 124*o**2. Let t(y) be the first derivative of -56*y**3\/3 + 18. Calculate u(t(r)).\nAnswer: 3136*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21454.11 years in centuries?\nAnswer: 214.5411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 x, and 1 z when four letters picked without replacement from {z: 5, x: 8, l: 2, d: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5\/7 - 11864*j**4\/7 + 11812*j**3\/7 + 142432*j**2\/7 - 332144*j\/7 + 189760\/7 = 0. What is j?\nAnswer: -4, 1, 2, 2965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (12 - 46 - -43)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 97*b**2. Let n(s) = 26*s**2 + 4. Calculate d(n(r)).\nAnswer: 65572*r**4 + 20176*r**2 + 1552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1960)\/(-65) + 8\/(-52). Let s be ((-25)\/v)\/((-15)\/12). Factor -s - a**2 + 1\/3*a**4 - 1\/3*a**3 + 5\/3*a.\nAnswer: (a - 1)**3*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5888, 5930, 5998, 6092, 6212?\nAnswer: 6358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -15 + 63. Solve -s = 4*g - 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -430539985812 - -0.213.\nAnswer: -430539985811.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**10)**40 assuming z is positive.\nAnswer: z**400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.4 - 8.40000035. What is j rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*h + 328*h + 2 + 1 - 171*h.\nAnswer: -5*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h + 1. Let n be ((-3)\/(-6))\/((-2)\/28). Let f be q(n). Let c = f - -131. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1872) + 3)*-4 + sqrt(26)\/(sqrt(198)\/sqrt(11)) + 0.\nAnswer: -12 + 145*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o - 18. Calculate t(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 302063129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 1, n: 1, h: 1, c: 2, l: 1}. What is prob of sequence hnk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (539 - 536)\/(2 - 1\/2). Solve n + 2*n + 2 = -z*d, -3*d = 4*n + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9*1*-6. Suppose -k*s - 70 = 86. What is s rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksxjxxxxxxkkxxx. What is prob of picking 1 j and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/70679 at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3. Let j(r) = -r**2 + r + 15. Calculate the remainder when j(y) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - g**2 + g + 11. Let i be r(0). Let t = 15 - i. Suppose 0 = -u + l + 20 + 1, -t*u - l + 69 = 0. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 26b?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13457*q - 79 = -13459*q + w, 5*w - 205 = -5*q for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4336.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6450359 is divided by 84873?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -17. Suppose 2*b - 160 = -r*b. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 21*h + 25. Let d = -487 - -507. Let i be q(d). Solve -i*t - 3*y + 9 = -3, 4*t + y - 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 800.5513 nanograms?\nAnswer: 0.0000008005513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-39)*-14 + (-3422)\/(-66729) - (-222)\/225.\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**5\/60 + 2*r**2. Let v(y) = -2*y - 5 + 5. Let d(i) = -i. Let f(u) = 4*d(u) - v(u). What is j(f(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -277758197607 minus 12.81?\nAnswer: -277758197619.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 118*y - 4. Let a(w) = 1379*w - 49. Let p(h) = 3*a(h) - 35*g(h). Let s(f) = 11*f - 10. Determine 7*p(b) - 5*s(b).\nAnswer: -6*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37\/13? (a) -162 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u - 2*u - 2*u + u - 4*u**2 + 1. Determine i(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752743767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-16) - ((-265)\/(-200))\/53. What is the third smallest value in -5, -2\/17, y, 2\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 21) + (7 + (-1 - -4) - 13)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3 - 4*f + 9 + 33 + 1. What is the lowest common multiple of 2 and a(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -17*d + 5. What is the remainder when 74 is divided by b(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-2 - -3 - -4). Suppose 8 = 2*y, z + r*z + 2*y = 23. Calculate the highest common divisor of z and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 4800*w**2 + 28628*w - 33432.\nAnswer: 4*(w - 1)*(w + 7)*(w + 1194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*92\/(-759)*-11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b + 2 + 3*b - 4*b + b. What is the units digit of y(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -32. Solve -3*w - 2*w + c = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 + -3) - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -35, 20, 2, -2851, -4 in descending order.\nAnswer: 20, 4, 3, 2, -4, -35, -2851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -16, -6867*b + 6866*b + 3*n + 15 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 15. Suppose s*o - 3 = -0*o. Let h be 2\/(1\/4*2). Solve o + 3 = -h*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3)\/x*x\/(x\/(x**(-1)*x))*x*x**(-3)*x*x\/(x\/(x\/(x\/(x*((x*x*x*x**(3\/7)*x*x)\/x*x)\/x*x)))))**42)**(-14\/5) assuming x is positive.\nAnswer: x**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 + -98. Let y(u) = u**2 - 2*u - 3. Let r be y(a). Solve -2*i - 5 = 5*l + 1, -5*l + i = r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109 - 420 + 230)*(-2*j**3 - j**3 + 4*j**3) + j - j + j**3 + j**3 - 2*j**3 - j**3 + (-1 + 2 + 0)*(-13*j**2 + 13*j**2 + 11*j**3).\nAnswer: -289*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1538367 (base 10) to base 9\nAnswer: -2804216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.2, -1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80576872 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-3389)\/29)\/6. Let l = m + 69\/58. Determine q, given that 0 + 0*q - 40\/3*q**3 - 10*q**5 + l*q**4 + 8\/3*q**2 = 0.\nAnswer: 0, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 1. Let s be h(0). Let u be ((-4)\/(-306))\/(1\/(-118)). Let c = -30\/17 - u. Which is greater: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320 + 319 + 236 - 1504 - 15*i + 311 + 318.\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 5, -2\/27, 4\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -16 - 12) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105017715 divided by 23573.\nAnswer: 4455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-12)*6\/63\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 13900838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 90067 greater than 90032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -237\/8 - -30. Let n = -21.6 + 23.6. Sort 4, n, 1\/3, u in ascending order.\nAnswer: 1\/3, u, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0418139 to three dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 234499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*z + 5516 = -2016. What is the remainder when 252 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in -5, -409, -2, 0.3, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153311155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmf when three letters picked without replacement from {f: 2, a: 3, d: 1, q: 1, m: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -19*w**3 - w**2 + 4*w + 4. Let u be z(-1). Suppose -i = -5*v + u, -6*v + i - 18 = -10*v. Calculate the greatest common divisor of 14 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -14*w**2. Let h(r) = -5*r**2 + 1 - 1. Let j be (34\/(-6) + 2)*-3. Suppose -j = c + 6. Give c*h(d) + 6*b(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-15)*-2*(-6)\/(-20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7174388733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102 or -0.004?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 112 = -5*q + 135, h = -5*q + 26 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*w + 52*w + 52*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 409186 take away 0.114?\nAnswer: 409185.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2847388*g**2. Let r(x) = x + 110. Calculate r(k(n)).\nAnswer: -2847388*n**2 + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (45 - 25 - -50151) + (0 - 9).\nAnswer: 2, 7, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c + 2. Let w be i(-1). Which is smaller: -7\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7636627, 7636620, 7636617, 7636618, 7636623, 7636632, 7636645?\nAnswer: 7636662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, -8.1, 1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 958 in 0.5, -0.3, -12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x - 27. Let s be 27\/(-4)*(-8)\/2. Is (-2)\/x - (-588)\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 - 8*f**3 - 4*f**3 + (-2 + 1 + 0)*(3*f**3 + 4*f**3 - 5*f**3) + f**3 + 1 - 1 + (-2*f - f**2 + 2*f)*(-11 + 2*f + 11).\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + -29)\/(-24) + (-7)\/8. Factor -1\/4*d + q*d**2 - 3\/8.\nAnswer: (d - 3)*(d + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3)\/((-2)\/10*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9485 - 9485 + 100*i.\nAnswer: 100*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461715171?\nAnswer: 3, 53, 109, 26641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 1. Let d(y) = 2 + 335*y - 1 - 332*y. Give -3*d(k) - 4*l(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2919*m**2 - 2*m. Let y(k) = k**2 + 11*k - 41. Let a be y(-14). Is l(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 351*h**2 - 715*h**2 + 446 + 361*h**2 + 33 to the form c*h + o*h**2 + b and give b.\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3264 divided by -204\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -100790*a**3 - 43*a**2 + 7*a + 123598052 wrt a?\nAnswer: -302370*a**2 - 86*a + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4139996 years to months.\nAnswer: 4.9679952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 3859832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156.2 - -129. Let r = 25.2 + s. What is the second biggest value in r, 1\/2, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -405*n**2 + 29*n. Let v(k) = -115*k**2. Calculate q(v(l)).\nAnswer: -5356125*l**4 - 3335*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 525.88396 days?\nAnswer: 75.12628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15815?\nAnswer: 5, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 + -101. Let d be (4\/(-14))\/(c\/14). Suppose -5*t + 19 = d*j - 337, 3*j + 2*t = 512. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 347540.9 nanograms to milligrams.\nAnswer: 0.3475409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32558 and 773508.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2. Let t(p) = -2*p**3 + 9*p**2 - 1. Let q(a) = 7*b(a) - 3*t(a). Let x(y) = 3*y**3 + 2. Give 3*q(u) - 5*x(u).\nAnswer: 3*u**3 + 3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -22*l - 12. Suppose 2*d - 9329 = -3*t, -7*d = -5*d + l*t - 9330. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 16*t + 8. Calculate the remainder when y(-9) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*b - 3513 - 4152 = 1565 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 7*w**2 + 3*w - 7. Let i be l(5). Let s be (-23)\/(-7) + 12\/i. Suppose -s*z - 2*z + 35 = 3*a, -4*a - 5*z + 45 = 0. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.17 + 2.43. Let c = 162 + -159.1. Let l = c - n. What is the third biggest value in -0.5, l, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h. Let c(u) = u**2 + 5*u + 1. Let y be c(-5). List the prime factors of t(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**4\/24 + n**3 + 6*n**2. Calculate the least common multiple of f(9) and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3918661 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/27)\/((-2)\/(-2))*-3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -641, 1501, 3643?\n\"Answer: 2142*g - 2783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -i + 37. Let m = 295 - 281. What is s in 5 + m*s**2 - i*s**2 + 11*s**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a + 20794*a**4 + 30*a**2 - 20796*a**4 + a**3 + 37*a**2 + 44*a**2 in the form v*a**2 + z*a + d + c*a**4 + q*a**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 4*v - 42, -5*v - 4*i + 79 + 3 = 24 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49067441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(1300)*1 + sqrt(1300))*-3)**2*2*4 + -5.\nAnswer: 374391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*h - y, -3*h - 21 = -y - 71. Let q = h - 11. Let w(a) = -a**2 + 8*a - 5. Let c be w(q). Solve s = -s + c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -277 - -277.4. Let f = 11.6 + -12. Which is the nearest to 3? (a) 1\/4 (b) i (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*s + 18849 = 96*s - 203*s - 108*s for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 54*w**2 + 26. What is r(27)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2 - 7) + 1 + (-3 - (11 + -3))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zwwwwwwwwwwzzwwwzzwc.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**3 + 6*x**2 - 13*x + 9. Let t be (5 + 1)\/(-2) - -7. Let d(b) = 6*b**3 - 5*b**2 + 14*b - 10. Let h(j) = t*d(j) + 5*o(j). Is h(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r**2 - 5*r + 7 - r - 36 + 30 - r**3. Calculate j(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816159536 to the power of 1\/2, to the nearest integer?\nAnswer: 28569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28093.5 - -28106. Which is greater: -25 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**4\/24 + 11*c**3\/6 - 4*c**2 - 7. Let o(r) be the second derivative of s(r). Give o(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/3583 and -47\/6?\nAnswer: 21498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 16*h - 37*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(18\/5)*p*(p*p\/(p\/(p*p**(-2\/19))))\/p assuming p is positive.\nAnswer: p**(522\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 0 + 1\/24*l**4 - 19\/3*l**3 + 11\/120*l**5 + 0*l - 39*l**2. Let y(x) be the first derivative of i(x). Determine y(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Suppose -5*b = -4*r + 1, m*b - 2*b - 6 = -3*r. Suppose b*u - a + 4*a = 12, -a = -5*u + 38. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.2191 - -31.5739. Let u = 0.59 - 34.59. Let r = a + u. Round r to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 2*w**2 + 29*w - 8. Let j be v(6). Solve -4*i - 6*r = -3*r - j, -3*i - 5*r = -22 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (-12 - (-6 + -9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1439 < -1304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 + -33 - 5 - -11) + 3 + -33 + -2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99 or 0.8?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 305728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = -2. Let r(k) = k**3 + 26*k**2 + 47*k - 21. Let h be r(-24). Which is the nearest to -0.1? (a) m (b) -9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, f: 5, a: 10}. What is prob of sequence cc?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(9\/(-12)) - 2. Suppose 3*f = h*f - 16. Let z = 25 + f. Calculate the smallest common multiple of z and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -3*b - 12. Let d(x) = 4*x**2 + 7*x + 1. Let i be d(3). Suppose y + i = -u + 4*y, -b*u - 184 = -4*y. What is u rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {o: 3, d: 3, q: 5, u: 3, x: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*t**2 + 14*t - 14*t + 4*t**2 to the form s*t + a*t**2 + y and give a.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3036460 by 164.\nAnswer: -18515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 53*x + 26. Let k = 70 - 67. Is m(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41750752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -59?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9599647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1159 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 162\/(-432)*(-8)\/(-18). Which is the nearest to -16? (a) d (b) -1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*f**3 - 306*f**2 - 2833*f - 776247269?\nAnswer: -21*f**2 - 612*f - 2833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-36) + (0 - (-52)\/6). Solve 4*f - 1 = -3*l + d, -2*f = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -85, -107, -131?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34380977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19 and -8?\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14198, -29861, -45524, -61187, -76850?\n\"Answer: -15663*m + 1465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 16) in base 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 631*f + 10108. Calculate m(-17).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = 3*a - 67, -3*a - 389*z + 22 = -387*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*x - 4*x + x**5 - 16*x wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19915 = -73*l + 50895. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -188, -166, -146, -128, -112, -98?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7034217.\nAnswer: 3, 683, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -252 and 0.4659869?\nAnswer: 252.4659869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*t = -15096 - 5262. What is the remainder when t is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1434 + -1431. Let s = -8 + 13. Suppose -c = -2*z + s, -x = -z + 2*c - 2. Solve z*q + 26 = -0*y + 4*y, 2*q + 19 = 3*y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - 5*l**2 - 5*l - 1. Let c be p(-1). Let s(y) = y**3 + y**2 + y - 2. Let b be s(c). Solve t = -0 + b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (sqrt(121) - (2*-3*sqrt(121) + sqrt(121)) - sqrt(121)))\/sqrt(11) + (sqrt(396) + (sqrt(396) - (sqrt(396) + 1)) + -4 - sqrt(396)))**2.\nAnswer: 40*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -5, 157?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139\/2 - 71. What is the common denominator of 44\/205 and n?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q - 7. Let t be m(7). Let k = -108 - -164. Calculate the highest common factor of t and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 7*i + 1. Let r be d(-5). Let a be 21\/4 - 4\/r. Solve -a*t + 3 = -3*n + 4*n, 2*t = 3*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4565037450 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/63 - (187 + 4042345\/(-21420)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -38, -2\/7, -14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -22036711.4\nAnswer: -22036707.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) - 26\/(-6). Let c(f) = -5*f**2 - 21*f + 1. Let x be c(-4). Suppose -d*u - w = w - 44, x*w - 2 = u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - (0 + -2*sqrt(272) + sqrt(272))) + -4 + -3*(1 + sqrt(272)*-2))**2.\nAnswer: -448*sqrt(17) + 17457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17469 + -17412. What is the remainder when 492 is divided by j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2472 and 44334084?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 860983337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*t + 3 + 19, -k - 18 = 4*t. Let s = -43 + 46. Let r(d) = -d**3 + 3*d**2 - 3*d. Let u(m) = -m**3 + 4*m**2 - 4*m. Determine s*u(n) + t*r(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*a - 1209*a - 18438 = 0 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28076971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 53, 47, -33, -223, -559, -1077, -1813, -2803?\n\"Answer: -6*k**3 - k**2 + 39*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 21808*u**2. Let h(t) = 10*t**2. Determine d(h(p)).\nAnswer: 2180800*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 30 = -5*l, 0 = l + 4*b - 0*b + 17. Let o be -1 - 2\/(4\/(-6)). Let q be (-5)\/(-1) - o*1. Solve -l*p = f + 1 + 3, q = -2*p - f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/(-28) - 6 - -1*(-11441)\/(-119)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*s - 21*s + 40*s + (-3*s + 0*s + s)*(2 + 0 + 0))*((0 - 2 + 0)*(-1 + 1 - s) + 26*s - 42*s + 89*s) to v*s + b + c*s**2 and give c.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6728, -13490, -20252, -27014?\n\"Answer: -6762*i + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, r: 7}. What is prob of sequence rr?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 892 less than 0.16777433?\nAnswer: -891.83222567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1276390 by 638195.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 6:32 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22293 and 108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304, 239, 174?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16392.77397 rounded to zero decimal places?\nAnswer: -16393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7 + 4300 + -12 + 5\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/48520220 and -33\/4.\nAnswer: 48520220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 3*m + 3088 = 862. Calculate the highest common factor of m and 636.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/10)\/(0 - 6\/1050). Let i be ((-175)\/n)\/((-6)\/4 - -1). Let x be 2 - 6*5\/i. Solve 5*p - 10 = -4*d, 0 = 4*p - 0 + x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2. Let s(z) = -103*z**2 - 14*z - 24. Let w(g) = -31*g**2 - 5*g - 9. Let n(k) = 3*s(k) - 8*w(k). Determine n(a(c)).\nAnswer: -1525*c**4 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183324 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s + 8. Suppose 2*o = -s*o - 432. What is the units digit of o\/(-20) + 4\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 - (8 - 26 - -8) - -8\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from fly.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c + -75592?\nAnswer: -75576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 1. Let p(w) = -2*w + 2. Let i(c) = 5*p(c) + 5*z(c). Let b(t) be the second derivative of -t**3\/3 + 7*t**2\/2 - 1122*t. Calculate -9*b(q) + 4*i(q).\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exexxexxexeexe. Give prob of sequence eeex.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 518 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -24901*b. Let u(a) = 8959*a. What is u(o(s))?\nAnswer: -223088059*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 26*t + 262. Let m = -950 + 940. Let y be s(m). What is w in 16\/5 + 16\/5*w + 4\/5*w**y = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**2 - 5505*d + 2754.\nAnswer: -3*(d + 918)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 753222146 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 24. Suppose -i - 2 = -3*v. Suppose -c - v*m + 12 = -6*m, 108 = 4*c - m. What is the highest common factor of 42 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 6*p**2 + 4*p - 6. Suppose -4 = 3*w + 11. Let o be i(w). Calculate the remainder when o + 1 + 2 + 0 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12041\/5 + -2409. Sort x, 3, -1, 5 in decreasing order.\nAnswer: 5, 3, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2135 - -2664?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -680, -5, 2, -4, -1132.\nAnswer: -1132, -680, -5, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-15) - (-440)\/30. Suppose u*a + 39573 = 24*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 437\/540 + -1\/108. Factor -2\/5*y**2 - h + 6\/5*y.\nAnswer: -2*(y - 2)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, f: 5, t: 8}. What is prob of picking 1 v and 1 t?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178\/6 - -1 - 12\/(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 204, -2\/3, -2\/21, 13, 0.1, 0.3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/87 in -16, 2, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*s + 5000000. What is s rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26\/(-4))\/((-19)\/(-38)). Suppose 4*k = -4*j + 3*k - 65, 2*k = -10. Let w = y - j. Solve w*r + 3 = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1081 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 21 = 2*x - a, 0 = 2*a + 2. What is the remainder when 12 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/893 - -42681\/54473. What is the common denominator of u and -6?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -13*b. Suppose -3*h = 4*o - 322, 5*h + 6*o - 5*o = 531. Let t(i) = -106 + 7*i + h. Give -6*g(d) - 11*t(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*z - 60, -2*k = 5*z + 3*k - 135. Let a be 22\/6 - 16\/z. Find the second derivative of 4*n - 4 + 4 - 3*n**a wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66917 + 547080. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -21 + 3*b**2 + 35*b + 0*b**2 + 0*b**2 + 19. Let m(f) = -20*f**2 - 245*f + 15. Let j(w) = 2*m(w) + 15*x(w). Determine v so that j(v) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-2*-3 + sqrt(121) + (sqrt(121) - -2*(sqrt(121) - sqrt(121)*2) - sqrt(121)))\/(sqrt(176)\/sqrt(4) + sqrt(22)\/sqrt(2)*-3) + -2.\nAnswer: -5*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l**3 + 5*l**3 + 6*l**3 + 49*l**3.\nAnswer: 86*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.17 - -0.07. Sort 3, 0.3, x.\nAnswer: x, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-14) - ((-200)\/35)\/4. Suppose -4*q + 50065 = -3*y - 37002, 0 = -2*q - l*y + 43516. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from uuueuffddudueduduu.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**10)**45 assuming z is positive.\nAnswer: z**450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1990420 and 11132.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3766478 by 2.\nAnswer: 1883239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -155694, -311389, -467084?\n\"Answer: -155695*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/4)\/(2\/(-4)). Which is the closest to 7? (a) -0.2 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000970479 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i**3 - 11*i**2 + 5*i + 11. Let x(j) = 5*j**3 + 4*j**2 - 2*j - 4. Let v = -692 - -688. Give v*f(t) - 11*x(t).\nAnswer: t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145123265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 + 2)*(4*t + 8*t + 11*t).\nAnswer: 230*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 106, 421, 948, 1687?\n\"Answer: 106*o**2 - 3*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2669\/57 + 277\/6. Which is bigger: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Let i(z) be the second derivative of 7*z**3\/6 + 9*z. Determine y(i(h)).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10441 (base 6) to base 7.\nAnswer: -4162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238914519, 238914521, 238914523?\nAnswer: 238914525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 478 + -270. Suppose 0 = 5*d - c - 7. Calculate the remainder when d is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 148 = -14*f + 28. What is the remainder when 17727 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 9*b - 7. Suppose i + 4*i - 35 = 0. Let x(w) = w**2 - 4*w - 3. Suppose -3*s - 39 = -0*s. Let f = 10 + s. Give f*g(v) + i*x(v).\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 6\/51083 (c) 2\/21 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1137 + 2208. Let m = -14985\/14 + s. What is the common denominator of -29\/22 and m?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -25 - 3 - 26.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -6*v + v**3 - 3\/2*v**2 + 2. Determine q, given that n(q) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1118, 2243, 3382, 4541, 5726, 6943?\n\"Answer: v**3 + v**2 + 1115*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.2, -1\/7, 19\/5 in descending order.\nAnswer: 19\/5, -1\/7, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 77.06 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.27 - -17.41. Let i = 1.81 + -4.95. Let l = i + o. Which is the closest to -0.1? (a) -1 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.903748mm in micrometers?\nAnswer: 5903.748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453883314?\nAnswer: 2, 3, 673, 112403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810.46 millilitres in litres?\nAnswer: 1.81046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7050698.6 to the nearest 100000.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 76\/171*(-1 + 69\/24)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*f - 348014 + 348014.\nAnswer: -494*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 420*m + 1646. Let w be l(-4). Sort -224, w, -3, 1, 3 in descending order.\nAnswer: 3, 1, w, -3, -224","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328503 + 367991 = 70*v - 1105026. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8593465043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -32*j - 734. Does 39 divide r(-126)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 103*x**2 + 20 - 50*x**2 + 7*x - 52*x**2. What are the prime factors of v(-13)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 12.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57312 = -568*b - 1024*b for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*j**2 + 293*j**2 + 3*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15294223 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/2 + 2\/4. Let c be (-16)\/5 + p\/(-10). Let z = -27 + 28. Sort z, c, 0 in ascending order.\nAnswer: c, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*o, -r - 5*o + 84 = -0*r. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 3. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64\/48)\/((-2)\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3817846230 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from behkakabeabbbbbkbb. Give prob of sequence ab.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -11\/8*s**4 + 35*s**2 + 3*s**3 + 1\/112*s**8 + 0 + 1\/4*s**6 + 0*s**5 - 3\/35*s**7 + 0*s. Solve l(t) = 0 for t.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-56))\/((-6)\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -146*n + 170*n + 192 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -376090.7?\nAnswer: -376091.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6636, -6618, -6574, -6492, -6360, -6166, -5898?\n\"Answer: 2*v**3 + v**2 + v - 6640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5236 - 5236.269. Round l to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1027, 3958, 8803, 15562?\n\"Answer: 957*f**2 + 60*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3124322 is divided by 283.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m - 8. Let v(t) = -4*t + 5. Let j(y) = 5*b(y) + 8*v(y). Let c(l) = -83*l. Give j(c(w)).\nAnswer: 166*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045185l in millilitres?\nAnswer: 4.5185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -2\/9 (b) -4 (c) -1\/7 (d) -715.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -57, -58, -61, -66, -73, -82?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7922, 15842, 23760, 31676, 39590, 47502?\nAnswer: 55412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 1. Let y(n) = -72*n + 5. Let h(f) = -4*w(f) - y(f). Let d(b) = 135*b - 1. Let t(m) = -3*d(m) + 5*h(m). Does 21 divide t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 6*q + 5. Let h be w(-6). Let s = h - 6. Do s and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 244*q. Factor -2\/7*j**4 + 0*j**3 + 6\/7*j**2 + q + 4\/7*j.\nAnswer: -2*j*(j - 2)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 0*n + 4*n + 96 = -4*x - 2*n, 0 = 9*n + 75 + 69 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 12*l + 7. Suppose -2*k = k + 15, -x - 3*k - 26 = 0. Calculate z(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/((-80)\/(-24)))\/(3\/12611) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + t**3 + t**3 - t**3 + 4*t**3 + t**3 + t**3 - 3*t**3 + 3*t**3 + (3*t - 4*t - t)*(-2 + 2 + t**2) - 27*t**3 + 0*t**2 - 2*t**2 + 29*t**3.\nAnswer: 7*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -37?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 7155806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6460408 divided by -24106?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22780587 divided by -7593529?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 0*t**2 + 4*t**2 - 3 - t**2 - t**2 + 5*t. Is 22 a factor of k(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 1. Suppose -4*i = 2*i - 48. Let b(r) = -10*r + 12*r - i + 12*r. Determine b(o) + 12*h(o).\nAnswer: 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**4\/5 + 24*y**3\/5 + 21*y**2\/5 = 0. What is y?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 98034108 to the nearest one million.\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-8)*2\/(-6)*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q + 17. Let u be h(-8). Let c be (-4)\/u + (-3)\/(171\/(-222)). Suppose w - 2*w + 1 = 0. Which is smaller: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -222 - -221. Let j(c) = 7*c**2 + c. What is j(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-4) + (5625\/(-18))\/25\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1934081801, 1934081802, 1934081803, 1934081804?\n\"Answer: h + 1934081800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 18*s - 17. Let m be f(19). Suppose -20 = -y - 4*v, -2*y + 2*v = -6*y + 24. Solve m = y*t - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -478246, -478246, -478244, -478240?\n\"Answer: j**2 - 3*j - 478244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 + 20 + -10 + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppmmmmmmmmpzp. Give prob of picking 2 p and 2 m.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/15, 4\/7, 1\/9, -9 in decreasing order.\nAnswer: 4\/7, 1\/9, -0.1, -2\/15, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 1 (c) -0.5 (d) -0.49 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -22*z**3 + 12*z**2 + 12*z - 22. Let n(o) = -2*o**3 + o**2 + o - 1. What is 12*n(y) - t(y)?\nAnswer: -2*y**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16359 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(((-3)\/((-6)\/5))\/2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 3*p**2\/2 - 3205. Let q(b) = -11*b - 29*b - 6*b + b. What is t(q(c))?\nAnswer: -135*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (12 - 15 - 4 - -18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 + 129 = -9*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*v - 6*v + 21*v**2)*(-24*v + 26*v - 73*v) - 2*v**3 + 2*v**3 + 2*v**3 to the form k*v + b*v**3 + f*v**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2. Let a(n) = -1197*n**2 + 0*n + 1205*n**2 + 0*n. What is a(y(g))?\nAnswer: 72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 28 = -4*x - 33, 0 = 5*b - 5*x - 65. Let t = 18 + -15. What is the remainder when b is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxttetbbxt. What is prob of picking 1 b and 1 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 35, 5, -554, 27 in decreasing order.\nAnswer: 35, 27, 5, -10, -554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 123*d**3\/5 - 125589*d**2\/5 + 6126*d\/5.\nAnswer: 3*d*(d - 1021)*(41*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + f + 2 + 7*f in the form a*f + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 20*k - 16*k. Let y(n) = 33*n**2 - 8*n + 7. Let d(f) = -11*f**2 + 3*f - 2. Let j(i) = k*y(i) + 8*d(i). Find the first derivative of j(m) wrt m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frxr when four letters picked without replacement from rccrcixfxrfgrg.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 8. Give q(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39 and -99026?\nAnswer: 98987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69773 and 53642751.\nAnswer: 6343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-24))\/(1\/8). Let g = 1999 - 1983. Which is the nearest to -1\/3? (a) g (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414 a factor of 43604932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rddddrrdddrrrrsdr. Give prob of picking 2 r.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/120 + 11*r**5\/60 + 3*r**4\/8 + r**3\/3 - 3*r**2. List the prime factors of u(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1200) - -1*sqrt(1200) - sqrt(12))\/sqrt(4))**2.\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -11*q**2 + 165*q + 204. Let r(d) = -10*d**2 + 166*d + 200. Let t(s) = -6*l(s) + 7*r(s). Find f, given that t(f) = 0.\nAnswer: -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -81931222\nAnswer: 16386244.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1.645.\nAnswer: 6.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1956149 (base 11) to base 14\nAnswer: -61d6c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 721384*k + 721381. Calculate p(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78327 and 13527?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.92 * 0.7146.\nAnswer: 3.515832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1122*d. Let g(s) = 228*s**2. Determine g(j(q)).\nAnswer: 287025552*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44436 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 + 83*o - 166*o + 83*o - 14*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -102\/13 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -14, 3, 35 in ascending order.\nAnswer: -14, 0, 3, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 + 3?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2628 + 30*t**3 + t - 14141 + 2901 + t.\nAnswer: 30*t**3 + 2*t - 13868","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12130, 12137, 12144, 12151, 12158?\nAnswer: 12165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 2*a**2 + a + 1. Let q be -1 - -4 - (-1 - -2). Suppose -5 = -6*z + 25. Suppose 0 = 5*m - 4*m + z*o - q, -4*m + 2*o + 8 = 0. Determine w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-2))\/((-4020)\/(-670)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by -440075.\nAnswer: 42\/440075","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -444365152 divided by -15870184\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**2 - 284*h + 550. Determine b(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -259 - -282. Solve -g*p + 27*p = 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. What is the derivative of 18*j**4 + 8*j**z - 5*j**4 + 16 wrt j?\nAnswer: 84*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/6667 and -55\/413?\nAnswer: 46669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + l = -3*l + 97, -y + l - 106 = 0. Let a(h) = h**3 + 3*h**2 - h - 6. Let q be a(6). Let w = q + y. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 times -0.6\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/5*85\/(-102)*(-26)\/4\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.6 + -35.6. What is the second smallest value in r, 2\/11, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10504 + 10504. Which is the fifth smallest value? (a) -0.5 (b) -0.1 (c) -3 (d) 9 (e) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r - 1. Let g(b) = -b**2 + b + 1. Give 2*g(i) + z(i).\nAnswer: -2*i**2 - 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000417 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*((-15)\/(-6) - 2). Let q(t) = -m + 35*t**2 - 10*t**2 + 2. Is q(1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 259 and 26327861.\nAnswer: 974130857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -783738 or -783739?\nAnswer: -783738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215034?\nAnswer: 2, 3, 35839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -14*5\/12 + 6 - (-2)\/(-12). Which is smaller: d or 1\/2333?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -486.011 rounded to 0 dps?\nAnswer: -486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/((sqrt(6)*-2 + sqrt(6) + sqrt(6) + sqrt(6))\/sqrt(3)) - (5 + (sqrt(468) + 2*sqrt(468) + sqrt(468))**2).\nAnswer: -7493 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.462*73\nAnswer: -33.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*1\/1)\/(-1)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 61*b + 64. What is i(-38)?\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, 11.\nAnswer: -2, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 77920 + 392199 = 0. Round i to the nearest one hundred.\nAnswer: -18500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + g - 36 - 55.\nAnswer: 8*g - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4945, -1\/2, -5 in descending order.\nAnswer: -1\/2, -5, -4945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(468)*1 + (-5*sqrt(13)*2 - sqrt(52)*5))**2.\nAnswer: -16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hghghhgyyhhgghhgh. Give prob of sequence gyyg.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.3, 0.1, 0.04, -2342?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2110.7 - 2111. Which is the second smallest value? (a) 2 (b) -3 (c) 0.1 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*u = -15, 2*u - 15 = -6*h + 3*h. Solve -h*l = 2*z + 8, -z = -l - l + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132686 or 132691?\nAnswer: 132686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 492627 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - 2) + (-3 - -14) + -21 + 3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/7 - (-1220)\/28. What is the greatest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -394 - -374 - (-13 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*d**2 + 58*d**2 - 240*d**2 + 55*d**2 + 56*d**2.\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + p = -1925, 6*n - 1178 = 3*n - 4*p. Let u = n + -384. Factor -1\/2*o**u + 0 + 1\/4*o**3 + 1\/4*o.\nAnswer: o*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 492.5843 nanoseconds to seconds.\nAnswer: 0.0000004925843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*q = 10, 42 = -3*p - 2*p + 3*q. Let b = p + 3. Let w(c) = c**3 + 2*c**2 - c + 2. Let n be w(b). Which is smaller: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2612 is divided by 201.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634*v + 631*v + 3*b - 21 = 0, -b - 9 = v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -818106*a**4 - 2*a**3 - 51693*a**2 + 5*a.\nAnswer: -19634544*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -14) + (0 - -9) - 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h + 52. What is d(-26)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuul when four letters picked without replacement from {l: 2, u: 3, j: 2, k: 8}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.011889 + 0.0116. Round i to 5 decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73*h**2*j*x - 4*h**2*x**3 - 18*h*j*x + j*x + 1032*j + 4*x**3 with respect to h.\nAnswer: -146*h*j*x - 8*h*x**3 - 18*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(931) - sqrt(19)) + 3)*-3)**2 + -5*(sqrt(475)*2)**2.\nAnswer: -3263 + 324*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 28*a. Let j be t(3). Let c(g) = 10*g. Let h be c(1). Let s = h - -2. What is the greatest common factor of s and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 68*k**2 + 227*k + 6. Determine n(-3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 26554.01 decades?\nAnswer: 265.5401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**29\/(q\/((q\/(q\/(q*q*(q\/(q\/((q**(1\/19)\/q)\/q)))\/q)))\/q)))**(1\/8) assuming q is positive.\nAnswer: q**(495\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(33)\/sqrt(3)*4 - sqrt(11)) + (sqrt(9)\/(1*sqrt(3)) + sqrt(3) - (-1 + sqrt(3)*-1 + sqrt(3)))**2.\nAnswer: 13*sqrt(3)\/3 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*z + 722. Let v = -89 - z. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27595?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r\/(r*r*r**(-1\/4))*r))**(-47)*r\/(r\/r**(-1\/11))*r**(-1))**39 assuming r is positive.\nAnswer: r**(-62361\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -26.1. What is the closest to -1\/3 in -10, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 2, t: 2, v: 1, s: 1, k: 1}. Give prob of picking 1 u, 1 v, and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 180\/17 + -574\/51. What is the nearest to 0 in r, 1\/4, -1\/3, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 734252.8 to the nearest ten thousand.\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225676*t - 59943 = 226365*t for t.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141601, 141330, 140879, 140248, 139437, 138446?\nAnswer: 137275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 85*f**2 - 165*f + 85. Let s be j(-83). Solve 4*w + 24 = 2*p, -4*p - 3*w + 2 + s = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 54 = g, 2*y + 4*g = -y + 54. Suppose -r - y = 2. Let z = r + 16. Let v(a) = a**3 + 4*a**2 - a - 1. Give v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 2*k**6\/3 - 4*k**5 + 8*k**4 - 16*k**3\/3 - 23. Determine u so that y(u) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7 + r**3 + 6965*r + 6976*r - 13927*r - 9*r**2. Let t = -11 + 20. What is the units digit of m(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0446336 from -126390127.\nAnswer: -126390127.0446336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1232372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.81 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8*t**2 + 4*t + 4. Let w(h) = 7*h**2 + 3*h + 3. Let c(p) = -2*p + 16. Let f be c(5). Calculate f*w(s) - 5*y(s).\nAnswer: 2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 12:28 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -3. Let g be (-1)\/(-6) + (-2)\/i. Let s = 0.064 + -5.064. Which is the nearest to g? (a) s (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 6.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2069 = -17*a + 9338. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 + -1.85. Let f = -1909\/18655 + -8\/91. Let k = f - 2\/205. What is the third biggest value in d, k, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 35 = -u, 3*u + 5*w - 109 = 3*w. Suppose u = -3*t - 68. Let r = -23 - t. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*y + 172, y - 2*y = -5*o + 315. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2123*k + 12795*k - 7144*k + 20762*k to s + i*k and give i.\nAnswer: 28536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + d**2 + 0*d**2. Let v(q) = 12*q**2 + 14*q**2 - 29542 + 29542. What is n(v(a))?\nAnswer: 1352*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**4\/24 - b**3\/3 + b**2. Calculate the lowest common multiple of 1 and y(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.6 (b) 5 (c) -2\/3871\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/(-38)*-4*(-3)\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4538098661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9081601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2 = -7. Let v be (20\/(-16))\/(t\/(-2)). Suppose 3*h = 4*h + 5. What is the biggest value in -1, h, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/32 - ((-1310)\/(-120) + -12). Let t(n) be the first derivative of -1\/9*n**3 + 11 + 0*n - m*n**2. Let t(q) = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**2\/2 - 20*n. Let z(o) = -6*o + 10. Let b(s) = -44*f(s) + 2*z(s). What are the prime factors of b(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 1. Let p(f) = -31*f**3 + 78*f - 94. Let d(q) = 21*q**3 - 52*q + 62. Let a(o) = -8*d(o) - 5*p(o). Determine a(b) + 26*k(b).\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -27*x + 26. Give b(-2).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-30)*26*(-225)\/(-156780)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1313 + -1454.8. Let l = 142 + r. What is the closest to -1\/3 in -7\/5, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12307771.\nAnswer: 7, 251179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 1. Calculate t(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 225, 454, 685, 918, 1153, 1390?\n\"Answer: q**2 + 226*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/96 and -49\/960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (127 - 23) + -41 + (2 - 0)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/1)\/((-1)\/14). Let x = n - 5. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23164c (base 13) in base 6?\nAnswer: 25453424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 215*2\/(-40)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*s)*(1 - 1 + s - 3*s + 0*s - s + (-2 - 7 + 4)*(2*s - 4*s + 3*s) - 70 - 3*s + 30 + 34).\nAnswer: 22*s**2 + 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 4*g + 3. Let w be l(-3). Let n be 5900*(w + -80)\/4. What is n rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*((sqrt(315)\/sqrt(5))\/sqrt(9) + (sqrt(1008) + 2)**2 + sqrt(21)\/(sqrt(12)\/(sqrt(4)*1) - sqrt(3) - sqrt(3))).\nAnswer: 96*sqrt(7) + 2026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 26*p**2 - 2 - 55*p**2 + 50*p**2 + 2. Let g(x) = 10*x + 2. Give g(s(w)).\nAnswer: 210*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f + 2. Let z be 3 - (-2)\/(-1)*f. Solve 3*r = -2*r - z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**5*r - 18*n**4*r - 7*n**2*r - 2*n*r + 1 wrt n.\nAnswer: -120*n**2*r - 432*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/(-9)*(-1)\/3*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2285 is divided by 46?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10 + 4\/10. Suppose 0 = -2*b + 5*f - f + 16, 3*b - 3 = -f. Suppose v = b*s - 183 - 477. Round s to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1163.\nAnswer: -1\/1163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1338 = -5*h, 2*h + 5*i = 10*i + 549. What are the prime factors of h?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*c**2 + 9*c**2 + 8*c**2 to the form d*c + f*c**2 + l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 divided by 14976?\nAnswer: -251\/14976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.03634 + 0.03634. Which is bigger: 1\/73 or m?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t + 4830 = 35*t. What is the highest common divisor of 69 and t?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxyxyxxxxxxxx. What is prob of sequence yxx?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**3 - 10*h**2 - 9*h - 5. Let f(k) = 11*k**3 - 21*k**2 - 18*k - 10. Let o(s) = -3*f(s) + 7*u(s). Is o(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*r + 10806 = 0, 5*s - 2*s = -3*r + 6498. List the prime factors of s.\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1750923, 1750924, 1750923, 1750920, 1750915, 1750908?\nAnswer: 1750899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -106, -360, -848, -1648, -2838, -4496?\nAnswer: -6700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)\/11 - -1. Let k = h + -421\/33. What is the common denominator of 498\/(-187) + (-54)\/(-459) and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -16 + 4 - -37.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*q + 18, -2*g = -4*q - 9 - 27. Suppose 7*b = 396 - g. Calculate the greatest common divisor of 594 and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**2 - 8*x - 4. What is the tens digit of f(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 + -96. Let h(a) be the second derivative of n - a**2 - 1\/3*a**3 + 2*a. Determine h(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 15*x = -11*x - 20, 2*t = 3*x - 15. Solve t = o - 3, -3*m = -2*o - 1 - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147919213217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 37*n + 104. What is p(-28)?\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(4\/15)*x)\/(x\/x**(-16)))**(2\/87) assuming x is positive.\nAnswer: x**(-412\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -352337\/15 - -23491. Find the common denominator of 127\/950 and a.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -121*d**3 + 6*d**2 - 7*d + 2. Let s be k(1). Let m = 34 - s. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 17028.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-1 - -5) + 1) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 4035.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18996 is divided by 108.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7*l**(-4\/5))\/(l**(-1))**36 assuming l is positive.\nAnswer: l**(211\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 5637\/31699 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 0*s**2 - 13*s**2 + 25*s**2 - 3*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122420 and 36.\nAnswer: 1101780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 + 4 - 31)*(0 + 0 + 5*r) as p*r + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2695 and 2123.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*l**4 - 30*l**4 - 9*l**4 + 2*l**2 - 2 - 12*l**3 - l**3 to z*l + n*l**4 + t + a*l**3 + q*l**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -5. Suppose 1 - n = 2*w. Let g(a) = a - 1. Let h(u) = u. Give w*h(y) + 2*g(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(2000) + sqrt(2000) - sqrt(2000)) + sqrt(2000))\/(-5*sqrt(1440) - sqrt(1440)) + -1.\nAnswer: -5*sqrt(2)\/6 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*g**3*u**2 + 26*g**3*u - 5*g**3 + g*u**2 - 3*g + 204*u**2 wrt g.\nAnswer: 504*g*u**2 + 156*g*u - 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593*x + 106*x - 270*x + 448*x.\nAnswer: 877*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304595034*n + 3*n**3 + 304595034*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z = -3*v + 15, -2*v = 5*z - 23. Let f = -1.2 + 0.6. Let j = f - -0.5. Which is smaller: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1678 + 1696. Let h be 25\/(-9) - (-2)\/(-9). Let z = h + 9. Calculate the smallest common multiple of z and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 0*l + 2*l - 2 = 0, 4*b + 7 = 3*l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + -1 + sqrt(1331) - ((2*sqrt(77))\/sqrt(7))**2) + sqrt(396) + sqrt(396) + 0 + 4.\nAnswer: -41 + 34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10*w**3 - 5*w**2 - 5. Let x(s) = 11*s**3 + 6*s**2 + s + 6. Let m(k) = -6*b(k) - 5*x(k). Factor m(v).\nAnswer: 5*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*a - 90*a + 60*a**2 + 143*a - 404*a.\nAnswer: 60*a**2 - 821*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j. Let d(p) = -3*p - 6. Let k(n) = -7*n - 13. Let b(o) = -13*d(o) + 6*k(o). Let y(w) = 3*b(w) - 7*c(w). Let g(l) = 49*l. Calculate g(y(h)).\nAnswer: -98*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 - 4 = -3*y, 0 = -5*w + 20. Suppose -4*i + 1 = -51. Let o = -9 + i. Solve y*k + 4 = -o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1880\/(-282)*(-60)\/(-40).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5f080 (base 16) to base 9.\nAnswer: 652847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 3:02 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -44, -133, -288, -515, -820, -1209, -1688, -2263?\n\"Answer: -o**3 - 27*o**2 - o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83211.\nAnswer: 3, 27737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1723 - 1687. Solve -h = 5*p + 7*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -196*b*n**3 + 8*b*n**2*x - 2*b*n - 2*n**3*x + 2*n**3 + 4*n*x**2 wrt x?\nAnswer: 8*b*n**2 - 2*n**3 + 8*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 366, 1555, 3552, 6369, 10018, 14511, 19860?\n\"Answer: 2*w**3 + 392*w**2 - w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3357 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = n + 2 - 37, -5*n + 43 = 3*r. Let v(p) be the third derivative of -r*p**2 - 1\/60*p**5 + 0*p + 0 + 1\/18*p**4 - 1\/18*p**3. Factor v(h).\nAnswer: -(h - 1)*(3*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 6924*d - 6907*d. Let w be 4\/(12\/9) + 0. Solve -2*c - 4*p + 24 = 0, 7*p - 8 = w*c + d*p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -12*y**3 - 16*y**2 - 6*y + 3. What are the prime factors of q(-10)?\nAnswer: 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/15 and -1060911 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/3*(-3 + -30). Suppose 325*j - 15882 = 9143. What is the greatest common factor of f and j?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/4 + 848561*r + 720055770721 = 0. Calculate r.\nAnswer: -1697122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0143 - 0.5937. Let o = -4.392 + z. What is the second biggest value in 1\/15, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355, 1180, 2491, 4276, 6523, 9220, 12355?\nAnswer: 15916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, -5, -3 in decreasing order.\nAnswer: 4, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, i: 2}. Give prob of sequence ki.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 + 78. What is s rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95378 times 20?\nAnswer: -1907560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121805 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3899, 3901, 3897, 3881, 3847, 3789, 3701, 3577?\n\"Answer: -u**3 + 3*u**2 + 3897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (5 - (18 - 9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -6*x + 32, -6059*g = -3*x - 6058*g + 17 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 19 = -1. Let a be 3*4 + -2*1. Let j = 62 - a. Calculate the remainder when j is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**8\/1344 - n**7\/105 - 5*n**6\/96 - 19*n**5\/120 - 7*n**4\/24 - n**3\/3 - 3*n**2. Solve x(f) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175411, 350823, 526235, 701647?\nAnswer: 877059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 2:30 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2 - u - u**3 - u**2 - 1 + 0*u**2 + 4. Suppose -5*k - 2 = -4*k. Give m(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 11*a**2 + 37*a - 50. Let p be w(6). Sort 1, 2, p, 4, -1 in increasing order.\nAnswer: p, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 15) in base 13?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -143.6 * -1.\nAnswer: 143.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2810980 = 3*u + 6*w, 3748004 = -4*u + w. Round u to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -953, -1923, -2913, -3923, -4953, -6003?\nAnswer: -7073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 - db?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70365810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 0*s**2 - 2*s**2 - 2*s + 4*s to c*s**2 + n*s + g and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.241 + -0.759. Let l be (-4)\/5*40\/(-208). Which is the closest to x? (a) -4 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -494873, -989997, -1485121?\n\"Answer: -495124*s + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -863*z - 44*z**2 + 127*z**2 - 1978*z - 82*z**2.\nAnswer: z**2 - 2841*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732889 is divided by 1636.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 6) to base 14.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 3*h**2 + 4*h + 47. Let v be y(0). Let m = v + 136. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m. Let b(j) be the first derivative of 2*j**2 - 11*j + 792. Determine -b(c) - 2*r(c).\nAnswer: -2*c + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -1286?\nAnswer: -1286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*w = 295*w + 8189 - 869 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4167735 and 15015.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 10*a - 18. Calculate x(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153523218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7972389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10636 - -10635.93331. Let v = f + 0.067. What is v rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 439577498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - 213*n**2 + 640*n**2 + 3861*n**2 + 3037*n**2 - 5*n as g + c*n + s*n**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -53. Let o be 4\/(-2) - (p - 5). Does 14 divide (-88)\/o*50\/4*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o. Let k(c) = -22*c**2 - 6. Let v(l) = -1. Let u(i) = -k(i) + 3*v(i). Let a(f) = 155*f**2 + 20. Let y(x) = -3*a(x) + 20*u(x). Determine s(y(p)).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - -7 - 3\/(-6)*2. Suppose 0 = r + 5*s + 15 - 57, o*r = -4*s + 168. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.6 in 1\/3, -0.512, 0.4, -1\/36, -2\/23, 3\/8?\nAnswer: -0.512","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/10939434 and -41\/5966964.\nAnswer: 65636604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/30420 and 23\/760?\nAnswer: 1155960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvl when three letters picked without replacement from {l: 3, e: 1, h: 3, w: 2, a: 3, v: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 2*j - 139 = -34 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + 11. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1314 (base 6) to base 2\nAnswer: 101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7503, 8105, 8707, 9309, 9911?\n\"Answer: 602*z + 6901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q = 16. What is the remainder when 22 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29117\/7 - -4152. Let l = -484\/63 - b. What is the nearest to 1 in 2\/19, 5\/3, l?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19594 - 17359. What is the remainder when j is divided by 551?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 + 258753779.59.\nAnswer: 258753809.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 w when four letters picked without replacement from nnhlnhhnwwhhhlwll?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 284\/1983203, 4\/3, 4.\nAnswer: 284\/1983203, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7797124 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6}. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80 or -2\/5?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1623749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1634 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 122*o**3 - 3841*o**2 - 7320*o - 3600.\nAnswer: -(o + 1)**2*(o + 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -v - 3, 4*v - y + 18 = -3*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h. Let a(v) = v. Let b(k) = 26*a(k) - 6*q(k). Give b(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -4*p**2 + 229928*p + 229932 = 0.\nAnswer: -1, 57483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 45 = -h, -5*h = -3*b + 31 - 10. Suppose 0 = -3*o + 9*o + 18. Let i be o + (6 + -4 - -85). Calculate the highest common factor of i and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1860.11652 to the nearest integer.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 940*x**5 - 4155*x**4 + 7025*x**3 - 5545*x**2 + 1935*x - 200 = 0.\nAnswer: 8\/47, 1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325203?\nAnswer: 3, 108401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1021491094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*i - 53. Let w be 13\/((-104)\/i) - (1 - 57700003). Round w to the nearest one million.\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/19 + 210*m**3\/19 - 426*m**2\/19 + 214*m\/19.\nAnswer: 2*m*(m - 1)**2*(m + 107)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + v - 19 - 122 + 27 = 0, 0*u = -2*u + 5*v - 54 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**2)\/(x*x**(-1\/2)*x))\/(x\/(x**(-1)*x*x))**(43\/3))**(-11\/6))**(1\/36) assuming x is positive.\nAnswer: x**(-11\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*g - 800 = 0, 0 = -4*b - 3*g + 1631 + 1592. Solve -b*d + 804*d - 4 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106906767904 + 2131.\nAnswer: 106906770035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41431035 is divided by 1024?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*((sqrt(1584) - (-3*sqrt(1584) + sqrt(1584))**2)*-5*5*-5 + 0).\nAnswer: -3168000 + 6000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27081.16 weeks in minutes?\nAnswer: 272978092.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5831926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 13085 = h + 102938, -2*q + 89833 = 3*h. What are the prime factors of q?\nAnswer: 2, 11, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 v when four letters picked without replacement from {v: 4, l: 7, t: 3}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 297.7606km in nanometers?\nAnswer: 297760600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 14)*(3 - 4 + 2)*(2*u - 2 + 2).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/220 and -17\/2156?\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -2\/11, 0.9, -1.1, -3\/5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1352*y**2 - 28*y - 100422?\nAnswer: 2704*y - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 762247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -536.6781 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - h**2 - h - 1. Let j(g) = -176*g**5 - 3*g**3 - 4*g**2 - 20*g - 74. Let r(i) = -4*a(i) + j(i). Find the second derivative of r(l) wrt l.\nAnswer: -3520*l**3 - 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -2, -2\/7, 5, -679 in increasing order.\nAnswer: -679, -3, -2, -2\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24\/1151 + 82657\/44889. Which is bigger: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 33 + 113 = 0. Solve -j*q + 32 = -0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8988040.686 and 1139.\nAnswer: -8986901.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69879769 is divided by 54.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 520613 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 - -14)*(-4)\/(1*52). Which is the nearest to -1\/3? (a) 3 (b) u (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 41970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-10 + 6 - 5\/5). Let j(n) = n**3 + 2*n**2 - 3*n + 6. What is j(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 - n**3 - 144*n**2 - 3*n**3 - 136*n**2 + 294*n**2 to j*n**3 + d*n + x*n**2 + v and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/12*(-112)\/6. Solve -5*k + t - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -184, 2, 9741.\nAnswer: -184, 0, 2, 9741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27830706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((3 - (0 - -4)) + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -729 - -702. Let j be (u\/(-81))\/(2\/(-43038)). What is j rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-45)*100\/(-10)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*m + 170. List the prime factors of m.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 22*k - 13 = 23*k, k + 45 = 3*v. Let w = 1301 + -666. Calculate the remainder when w is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/400)\/(39\/(-52)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 - 5*b**2 + b - 3 + b - 5*b. Let c(i) = -i**2 + 3*i - 3. Let x be c(3). List the prime factors of w(x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/17, -4, 2, -5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 7*t + 1. Let w be j(-7). What is the derivative of -4*z + 3 + w - 8 wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3428*a - 41414 = 4048*a - 5454 for a.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 97506*i - 45458085. Determine s(-464).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z**2 + 12*z + 24. Let w be x(-3). Solve 62*j = w*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1925 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2154 and 636114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 11*c - 8*c - 28 + 30 to b + y*c and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/8)\/(3\/(-444)). Let r = 123 + n. 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 503 minutes after 12:31 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvh when four letters picked without replacement from vzvvvvvhvvhvvvs.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 53\/(-4*(-4)\/16). Let y = -47 + m. Suppose -d + y = 3, -5*i - d = -48. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2150*j - 17304. Give k(8).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5\/4)*f**12\/f)**21)**(-30))**(1\/13) assuming f is positive.\nAnswer: f**(-945\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -190094, -380202, -570310, -760418, -950526, -1140634?\n\"Answer: -190108*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(2736) - (sqrt(2736) - (sqrt(2736) + 0))) - 6*sqrt(2736)*-4)*-6)**2.\nAnswer: 64800*sqrt(19) + 61560324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14739*n**4\/5 + 115311*n**3 - 103275*n**2 + 30525*n - 3000.\nAnswer: 3*(n + 40)*(17*n - 5)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-33)\/6)*-2. Let j = y + 13. Suppose -7*g = -2*x - 3*g + 56, 4*g = -j*x + 52. Calculate the highest common factor of 198 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16351168877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 426 - 431. Which is the closest to -0.1? (a) 16 (b) -2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2865, -2869, -2869, -2865, -2857, -2845?\n\"Answer: 2*r**2 - 10*r - 2857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32460 and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a**2 + 31*a**3 + 15*a**3 - 2*a - 5*a.\nAnswer: 46*a**3 + 23*a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12\/78 - (((-227)\/39)\/(-1) - 6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -14990*x - 20. Let b(l) = 2*l - 7. Give 3*b(y) - g(y).\nAnswer: 14996*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 - 16*k**2\/7 - 90*k\/7 - 72\/7.\nAnswer: 2*(k - 12)*(k + 1)*(k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1811 (c) -0.01 (d) 3 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 22 = -c + 2, -9 = -c + m. Let h(z) be the first derivative of 2 + 0*z**c + 0*z**3 - 3*z + 0*z**2 - 2\/5*z**5. Differentiate h(v) wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8*((-310)\/45 + 6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33a (base 12) in base 2?\nAnswer: 111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t**3 + 0*t**3 + 49*t**3)*(-1 + 0 - 1)*(5 + 1 - 2).\nAnswer: -312*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 294504094 - -5879\nAnswer: 294509973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 + 22*o - 46. Does 30 divide j(45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 3*n + 0*n)*(2 + 2 - 5) + 6*n + 19*n - 2*n.\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 99\/4 of a kilometer?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9778 is divided by 1387.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 802115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 219277 = 9303. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -7*r**2\/2 - 2*r + 47. Let f(v) be the second derivative of -2*v**3\/3 - v**2\/2 + v. Determine 5*f(n) - 3*k(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**5\/12 + h**4\/8 + h**3 - 13*h**2. Let w be g(5). Let q = w - 60. Does 43 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3111304 + 4?\nAnswer: -3111300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-4) + (-1)\/2. Let l = -5 - p. Let o = 12 - l. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1438.2 + -1435.2. Sort 1\/8, -53, 0.067, a, 0.1 in descending order.\nAnswer: a, 1\/8, 0.1, 0.067, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.78 rounded to 0 decimal places?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 51*(6 + -3)\/9. Suppose 2*v - a = 3. Calculate the greatest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 15332849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -12.31.\nAnswer: 3.693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2*k + 1576 = 1542, 3*g = -4*k - 3*k for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 4:59 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - b + 43170431671 - 43170431671 + 0*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2. Let c(k) = 368*k - 2. Calculate d(c(y)).\nAnswer: 406272*y**2 - 4416*y + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100 + 543. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-8))\/(-114*(-5019)\/(-363280)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2*h + 6, -3*h = 8*y - 9*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v**4 - v**4 + 4*v**4)*(1109 - 582 + 729).\nAnswer: 12560*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11739 + 70.4.\nAnswer: -11668.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0\/(f*f\/(f\/(f\/(f**(-1\/9)*f*f*f)*f)))*(f*f**(4\/7))\/(f**(-10)*f*f) assuming f is positive.\nAnswer: f**(596\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43975 = -23*a + 9548 + 36568. Calculate the smallest common multiple of a and 10.\nAnswer: 39170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 44 = 21. Suppose 5*t + 25 = -z, 10 = -s*z - 3*t - 5. Suppose -5*d + 15 = -m, -2*d - 3*m = -0*m - 6. Sort d, 2, z in increasing order.\nAnswer: z, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + b**5 + 0*b**4 + 7*b**4 - 6*b**3 + 3*b**3 + (2*b**5 - b**2 + b**2)*(-2 + 3 + 1) + 0*b**5 + 0*b**5 - 2*b**5.\nAnswer: 3*b**5 + 7*b**4 - 3*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -896 and 10\/4717 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.26 - -9.74. Let h = u - 9. What is the second smallest value in -4, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**2\/2 + 1. Let x(h) = -h**2 - 3*h - 1. Let i be x(-1). Let t(u) = -3 + 1 - i + 6. What is -2*k(r) - t(r)?\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/39)\/(0 - (-4)\/8).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/165 and 47\/5325975.\nAnswer: 58585725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5. Suppose -5*y + 0*y + 3*g = -341, 3*g + 6 = k. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-3)*o)\/o)\/o**(-9))\/(((o\/o**(2\/5))\/o)\/(o*o**(-3))) assuming o is positive.\nAnswer: o**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-3*(-80)\/(-120).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirty-two fifths of a millisecond?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/(-8)*(-4)\/(-357). Let b be 846\/231*(2 - 169\/51). Let y = b + f. Calculate the common denominator of y and 44\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 314*t**4\/3 + 275*t. Let v(o) = o. Determine j(v(d)).\nAnswer: 1256*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10823*r**2 - 10983*r**2 + 21804*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = -0*t. Let i(f) = -f**2 + 5*f - 2. Let g be i(t). Solve 0*j**2 + 2\/5*j**5 + 2\/5*j**3 + 0*j - 4\/5*j**g + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 457*p**4 + 5591*p**3 + p**2 + 104499183*p - 2?\nAnswer: 5484*p**2 + 33546*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 5*x - 3*c, -5*c - 3 = -4*x + 3*x. Suppose 29*f - 34*f + 10 = 0. What is the third derivative of -8*m**5 - 10*m**f + m**2 + x*m**5 wrt m?\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6131.8 to the nearest 10.\nAnswer: -6130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -302835576*c**2*f + 2489670*c*f + 2*c - 19 wrt c?\nAnswer: -605671152*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -3 + 8 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 8*s**2 + s + 8. Let p be o(-8). Suppose 5*c + 0*c = p. Factor c*b + 2\/7*b**2 - 2\/7.\nAnswer: 2*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1954129 is divided by 996?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27485\/25 - (-1 + (-14)\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2*(-1)\/(-2))\/((-3)\/(-6)). What is the second biggest value in 2, 0.2, i, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(272) - (-1 + sqrt(272) - sqrt(272)))**2.\nAnswer: 8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*h*s*z**3 + 16*a*h*z - 2*a*s*z**3 + h*s*z**2 - 3*h*s + 15*s*z**3 wrt a?\nAnswer: h*s*z**3 + 16*h*z - 2*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 25*x + 147. Determine p(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(475) - sqrt(475) - sqrt(19) - (sqrt(38)\/sqrt(2) + 1).\nAnswer: -2*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1 - 12*s - 8 - 7*s**2 - s**3 + 0 + 12. Is r(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 20 + 22*z - 21*z - 20*z + 19*z**2 + z**3. Let g be (-1)\/(5\/(-500)*-5). Let b be o(g). Solve b = -n + 3*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 7*o - 238. Calculate the remainder when o is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16668 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -88200850 to the nearest one million.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2063 divided by 144.\nAnswer: 2063\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.93 - -0.07. Let m = q - 9. Let g be 1 - -1*13\/(-11). Which is the second biggest value? (a) m (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(sqrt(1377) + sqrt(1377)*2*-1 - (sqrt(1377) - (sqrt(1377) + 0)*3) - (-1*sqrt(1377)*-4 + (sqrt(1377) + 0)*-1)))**2.\nAnswer: -826200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 146652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 97781 divided by -353\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and 4111778.1.\nAnswer: 4111788.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/2)\/((-6)\/9). Let l(q) = -44*q**2 + 12*q + 11. Let x(d) = 87*d**2 - 23*d - 21. Let o(w) = 11*l(w) + 6*x(w). Is o(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-192\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -11. Calculate the remainder when 7 is divided by w*3\/(1 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-2 - (0 + 0)). Suppose 0 = 3*s - 2*t - c*t + 1, -3*t = 3. Let v(g) = -5*g**3 - 2 + 4353*g**2 - 4354*g**2 + 5*g + 3 - 4*g. Give v(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/25 (b) 11 (c) -4 (d) -0.5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -10*b + 21*b. Sort b, -1, 5 in increasing order.\nAnswer: b, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/6 - (-45269)\/87?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1408)\/(-264))\/((-2)\/3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/((t\/(t\/((t*t\/t**(-1\/2))\/t)))\/t))\/t)*t)**(-8\/5)\/(t**(-1))**26 assuming t is positive.\nAnswer: t**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1107 and 7.49?\nAnswer: 0.829143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84)*-3 + sqrt(84) - -1*sqrt(84)*-2)\/((sqrt(300)*2 + sqrt(300))*-2*1).\nAnswer: 7*sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.006 - -0.37265959\nAnswer: 0.37865959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 665059, 665266, 665473?\nAnswer: 665680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 2*v - 1. Let s be n(-1). Let t = -2.94 + -0.06. Let g = -3.2 + 3.4. What is the third biggest value in g, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 0 - 3 + 3 + 4*q - q**2. Let j be f(4). Solve j*o - 4*o - 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-3 + 1 + 153\/78). Suppose -36*o - i = -38*o. What is the greatest common factor of 1183 and o?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 6*k + 4. Let s = 6105 - 6107. Calculate n(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78.099319 - 78.1. What is b rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 7. Let y be v(-11). Let i be y\/(-2) + (-1 - -4). Which is the nearest to -2\/9? (a) i (b) 2\/13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*a**3 + 27*a**3 - 1364*a**2 - 1371*a**2 + 2735*a**2.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + i - 3, -3*g = 5*i - 126 + 111 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-9) + 4)*(0 - 1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -4. Suppose -3*a - 1760 = -r*a. Let n = a + -173. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(768).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**4\/2 - 22*j**3\/9 + 19*j**2\/9 - 2*j\/3 + 60. Solve p(o) = 0.\nAnswer: 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111896 and 36248?\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*o + 50 = 0, o - 1 = -4*u + 3*u. Let k = 1 + 2. Let t = 13 + k. Calculate the remainder when t is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-84)*-1*(-70)\/(56\/(-8))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 113c5d (base 15) in base 8?\nAnswer: 3107201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 30 + 66)*(4*n - 2*n - 4*n) + (-n + 0*n + 0*n)*(1 + 0 + 0) + 2 - 3*n - 2.\nAnswer: -68*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**2. Let w(d) = 5216086*d. Calculate w(q(c)).\nAnswer: 31296516*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89 + 31 + 1439)*(-p + 0*p**4 + 2*p**4 - 4*p**4).\nAnswer: -3118*p**4 - 1559*p","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -0.0576.\nAnswer: 1.9424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zio when three letters picked without replacement from {i: 1, s: 4, p: 1, o: 4, z: 1}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-30)*-2 + 27797\/5415. What is the closest to 5 in -2, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -164 - -119. Let t be (-4)\/6 - -6*10\/g. Sort t, 1, -5, -55.\nAnswer: -55, -5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -394 + 396. Calculate the remainder when 20 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179318.\nAnswer: 2, 89659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2480*u - 2*u**3 + 4 + 2*u**2 + u**3 - 5.\nAnswer: -u**3 + 2*u**2 - 2480*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/6)\/((-2)\/3). Suppose -4*r = m*q + 7, 0 = -r + 2*q + 1 + 7. Solve 6 + 0 + 9*j**3 - 4*j**r - 15*j + 10*j**2 - 6*j = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36993 and 86317.\nAnswer: 258951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 19 + 15 = -4*p, 2*h - 2*p - 14 = 0. Let v(y) = 2*y - 9. Let t be v(h). Solve -2*k + 3*k + t = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5. Let l = 125 - 122. Suppose w = -l*b - 3*w - 35, 3*w = -15. Let g(c) = c - 1. Determine b*g(p) + x(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43610 and 14952?\nAnswer: 523320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1736740, 1736739, 1736738, 1736737?\nAnswer: 1736736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*(sqrt(448)*-1 + 1) + sqrt(448) + sqrt(448) + -2 + 0 + sqrt(448) + -5 + -1)**2.\nAnswer: -1344*sqrt(7) + 64561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-276)\/(-10) + 14\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*b - 208*b - 76*b)*(-3*b + 2*b - 2 + 3) to o*b + c*b**2 + r and give o.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36883\/(-2874)*(-3)\/(-7).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11472, 11480, 11490, 11502, 11516, 11532, 11550?\n\"Answer: k**2 + 5*k + 11466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 79591050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/50 of a minute?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s**4 - 6*s**3 + 6*s**2 - 6*s - 16. Let d(i) = 15*i**4 - 11*i**3 + 11*i**2 - 12*i - 31. Let r(k) = -6*d(k) + 11*o(k). Differentiate r(w) wrt w.\nAnswer: -52*w**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 4*t**2 + t - 5. Let s be h(5). Let l = -55 - s. Find the common denominator of 306\/l - (-2 + 1) and 52\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0 + 3 = 0. Sort -0.02, 2, v in decreasing order.\nAnswer: 2, v, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.96 times -8?\nAnswer: -55.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -6) + -33 + 46 - (11 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 4:27 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2772*k - 158*k + 3093*k - 1579*k.\nAnswer: 4128*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58043\/5 + -11610. Put 1\/4, m, 1\/10 in descending order.\nAnswer: 1\/4, 1\/10, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 10*g - 8*g = 53, 5*g = 3*b - 25. Let d be (-1*1)\/(4\/(-684)). Let k = d + -116. What is the remainder when k is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g**2. Let z(m) = -m**2 - m**2 - m**2 - 2*m**2. Give z(r(h)).\nAnswer: -320*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 15. Let z be p(16). Let c(n) = -n + 1. Let w(t) = t - 1. Determine z*c(r) - 2*w(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(1\/19)*t*(t*t**(-18)*t)\/t*t*t assuming t is positive.\nAnswer: t**(-248\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - 7*v - 1. Let x(z) = 7*z**2 - 13*z - 1. Determine -5*o(j) + 2*x(j).\nAnswer: -j**2 + 9*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u. Let l be i(-1). Let m(w) = 26*w - 2. Let r(t) = 26*t - 3. Let y(q) = 6*m(q) - 5*r(q). Does 19 divide y(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*m**5 + m**4 - m**4 + (2 - 2*m**4 - 2)*(m + m - m).\nAnswer: 19*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/14 - (-12)\/42. Let i be (3\/k)\/(1\/6). Let y = -4 + i. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-15 - (-10 + -41)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30.7 - -31. Let a = 164 - 1474\/9. Sort -0.1, a, c in increasing order.\nAnswer: -0.1, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -880 + -414?\nAnswer: -c94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7519 - 7518. What is the closest to -2\/7 in 5\/4, 4, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - i**3 - i**3)*(-i**2 + i - i + (-2*i - i + 2*i)*(0 - i + 0) + 1 - 1 + 2*i**2 + i**2 - 6*i**2 + 0*i**2 - 4*i - 4*i**2 + 4*i).\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -141303*t - 1554320. Determine w(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**3 + 31*c**2 + 4*c + 7. Let b(s) = 17*s**3 + 88*s**2 + 11*s + 20. Determine 4*b(k) - 11*j(k).\nAnswer: 2*k**3 + 11*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2. Let g be 0 + (-7)\/((-21)\/12) + -3. Let v(d) = -7*d**2. What is g*v(p) + 2*f(p)?\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 3*n + 80, -4*n - 60 = -3*w. What is the remainder when w is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304876 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j - 38 = 0. Let n = j - -36. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -24. Solve 0 = -c*p + 18 + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(210)*-2 + sqrt(210))\/((sqrt(72)*-2)\/sqrt(12) - sqrt(6)))\/((-1*sqrt(100))\/(sqrt(5) + sqrt(125)*2)).\nAnswer: -121*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -68*k + 4762. Does 6 divide s(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5996 a factor of 6168402988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12927.7384 + -12085.28. Let l = r + -821.47. Let a = l - 21. Round a to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -193709 divided by -1\nAnswer: 193709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15032 + -1?\nAnswer: -15033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7783696 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.85355659585406 - 7057278.94643800414594. Let g = x - -7057261.8. Let w = -18 - g. Round w to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -124 + -258. Let j = d + 398. Calculate the greatest common divisor of j and 1648.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 15*c. Suppose -13*p + 12*p + 11 = 0. Let m(l) be the first derivative of -7*l**3 - 5*l**3 - 9 + p*l**3. What is k(m(z))?\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5, a: 1, n: 2, m: 5, d: 6}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(1 + 1 - ((-1385)\/(-25) + -53))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1233 times 32971\nAnswer: 40653243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 13, u: 6}. What is prob of picking 2 u?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8893025?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t. Suppose a = 12 - t. Let p = a + 3. Solve h + 4*h = p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1793 and -1.2?\nAnswer: 1.3793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = 1170 + 1674. Let k = 1905\/4 + z. Let j(t) = t**3 - 4*t**2 + 2*t - 6. Let n be j(4). Which is greater: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9663874 by 509.\nAnswer: 18986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 a factor of 138571742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 101, 159, 217, 275, 333?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -22*v**2 - 9*v - 7. Let a(y) = -23*y**2 - 11*y - 7. Let r(t) = 4*a(t) - 5*k(t). What are the prime factors of r(-5)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(1 + 0 - 2)*(8*o**3 - 3 - 178*o**3 + 60*o**2 - 61*o**2) as x + z*o**2 + j*o + q*o**3 and give q.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33614d (base 16) to base 4.\nAnswer: 30312011031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4539317 is divided by 935.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 16*i**2 - 2*i - 2. Let b(c) = -17*c**2 + 3*c + 3. Suppose -84 = -29*g + 57*g. Calculate g*r(n) - 2*b(n).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 4*k - 2. Suppose -655 = -11*s + 16*s. Let r = -136 - s. What is o(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/6 - 1)*3. Let m = -0.7 - -1. What is the third smallest value in m, 0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 2793 = -945. Calculate the remainder when a is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**3*g - 520*a**2*g + 35*g - 11 wrt a?\nAnswer: 6*a**2*g - 1040*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(13)*5 - sqrt(39)\/(sqrt(3)*1))**2*-1.\nAnswer: -1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ufuvdvuuduvdvvvdd?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 630922837777\/7853830274885 - 1\/1111338655. Let r = -1\/1337 - h. Is r less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**4\/24 - 3*g**3\/2 - g**2 + 169. Let a(j) = 1. Calculate -24*a(f) - 3*d(f).\nAnswer: 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*f + 2*z, -f - f + 4 = -2*z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -24\/17, -2\/7, 7, -21\/4, 9 in descending order.\nAnswer: 9, 7, -2\/7, -24\/17, -4, -21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-16) + (-12562125)\/(-139000)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*43 - (-14 - -11). Let l = -15 + t. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979459 is divided by 30607.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 - 19*q**3 - 2*q**3 + q**3 + 6*q**3 + 8*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -12\/19?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9467697 and 123?\nAnswer: 388175577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20756101, 20756119, 20756139, 20756161, 20756185, 20756211?\nAnswer: 20756239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92289824443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/35040 and -53\/14?\nAnswer: 245280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 - 25*n**3 - 3 + 3.\nAnswer: -25*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d - 190. Let g be j(30). What is the tens digit of (-24)\/g - 2316\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 53*q**2 + q. Let u be a(-1). Let g = u + 20. Calculate the remainder when g is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 12 = 2*p. Let b be -18*4\/(-6) - (0 - -3). Let a be (-1 + -17)\/(b\/p). Is a bigger than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/(p**2\/p)))\/p*p*p)**(-39)\/((p\/p**(-1\/12))\/(p*p**(-2\/9))) assuming p is positive.\nAnswer: p**(-1415\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1 - 46*m + 5 - 6 + 48*m - 3. What is u(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 7*y - 2. Let i be l(-8). Let z = 8 - i. Suppose -5*o + z*o = -9. Solve -h - o*h = 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -26, -824, -5, 1\/6, 3, 1\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1402, 1389, 1374, 1357, 1338?\nAnswer: 1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*g**2 - 20*g**2 + 17*g**2 + g)*(-2 + 12*g + 4 - 1) to the form v + t*g**2 + c*g + n*g**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41010 by 56.\nAnswer: 20505\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2)*p**(4\/3)*(p**6)**(-2\/77) assuming p is positive.\nAnswer: p**(-190\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 + 4*u**3 - 4*u**3 + (3*u**2 - 4*u**2 + 2*u**2)*(2*u**2 + 4*u**2 - 4*u**2 + (3 + 0 - 2)*(0 + u**2 + 0) + 2*u**2 - 2*u**2 + u**2).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4}. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5943, 5, -43, -10 in ascending order.\nAnswer: -5943, -43, -10, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from cdzdccczczccczcpc.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 60 = h, -3*h - l - 613 + 793 = 0. Solve 3*f = 23*f + h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 1396549?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 62. Give z(0).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 836, 1688, 2538, 3386, 4232, 5076, 5918?\nAnswer: 6758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 711425404, 711425403, 711425402, 711425401, 711425400, 711425399?\n\"Answer: -m + 711425405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 10:49 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01168 - -0.01168. Which is the second smallest value? (a) 2\/5 (b) -4 (c) -4.9 (d) g (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 2423.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 4. Suppose 0 = -2*g - 5 - 1. Let o be k(g). Let j(m) = o - 3*m**3 + 0*m**3 + 3*m**2 + 2*m**3 - 2*m**2. Calculate j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -35*t - 4. What is the tens digit of c(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1369*t**3 + 129*t**2 + 156 - 209*t**2 - 1367*t**3 + 74*t.\nAnswer: 2*(t - 39)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 980836 is divided by 934?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zll when three letters picked without replacement from {s: 4, l: 7, z: 2}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*m - a**3 - 5315727*a**2 - a*m + 4669907*a - 4*m wrt a?\nAnswer: -6*a*m - 6*a - 10631454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, 5, 7\/4 in decreasing order.\nAnswer: 145, 5, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 25 = 5*h, 0*h + 25 = 4*u + 5*h. Let d = -101 + 102. What is the closest to -1 in 4, u, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*j - 0*a + 22, 0 = j + 2*a. Let d(c) = -c**3 + 2*c**2 - 2*c + 7. Let x(k) = k**3 - k**2 + 2*k - 6. Let s(h) = 5*d(h) + 6*x(h). Give s(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 857 - 2129. Let z = j + 14005\/11. What is the common denominator of (-185)\/6 + (-4)\/6 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 124*z**2 - 2 + 10*z**2.\nAnswer: 134*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42836 = 4412*w - 1251*w - 248301 for w.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/((-456)\/16))\/((-2)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 16*f - 100. What is o(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**2 + 298*i**3 + 99*i**3 + 86*i**3 - 18*i**2.\nAnswer: 483*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (2 - 0 - 26). Let j(u) = 3*u - 7. Calculate the lowest common multiple of j(5) and k\/14*(-5 + -1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74355949 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 58, -2 in decreasing order.\nAnswer: 58, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 150*l**2 - 236*l - 35481. Determine y(-150).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g - 6*g + 10*g + 11*g.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 3*z - z - 10*z. Let k(j) = j**2 + 55*j + 766. Let l be k(-30). What is the units digit of a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -309 times 1?\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -18. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6770790721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-4)*(-96)\/112*28\/(-162).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*((j**(-7)*j)\/j)\/j)))\/j*j**(-2\/9)\/j*j*((j*j*(j**(-3)*j)\/j)\/j)\/(j**(-4)*j))\/((j**(-1\/4)*j)**(1\/34)\/(j**(1\/2))**(-27)) assuming j is positive.\nAnswer: j**(-25391\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (4 - 7) - -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-94)\/(-4)*(-15 + 17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 4*q**2 + 6. Let v be 5\/((-15)\/(-18)) - 3. Suppose j + j - 5*y - 15 = 0, -26 = -v*j + 4*y. Calculate the remainder when j is divided by d(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.763*-5\nAnswer: 33.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 79794?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22607202, 22607206, 22607210?\nAnswer: 22607214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmh when three letters picked without replacement from dhdmmljjymjjlm?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 382*n - 384*n - 12.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 710 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 6*m. Let s be c(9). Let t = s + -27. Calculate the least common multiple of 20 and -3 - -4 - t - -73.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 43, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, n: 10}. Give prob of sequence nxxx.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-194992)\/(-588)*3\/(-12) - 160\/1680.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*d + 9 + 1, -4*d = 3*x + 1. Let a(s) = -765*s**2 - 2 + d + 760*s**2. Let t(g) = -16*g. Determine t(a(k)).\nAnswer: 80*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -330, -893, -1456, -2019?\n\"Answer: -563*d + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -33. Let d(s) = -s**3 + 5*s**2 + 5*s + 8. Let g be d(6). Is ((-124)\/b)\/(g\/(-20)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -106\/1238979?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*c**5 + 17*c**4 + 1187*c**3 - 6766*c**2 - 194*c + 2 wrt c?\nAnswer: 2760*c**2 + 408*c + 7122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(5 + sqrt(175)*1 - sqrt(175))**2 + (sqrt(175) + sqrt(175)*-1 + sqrt(175) + -1 - (sqrt(175) - (1 + sqrt(175))**2)*-4)).\nAnswer: 15*sqrt(7) + 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15*z**2 - 328*z + 328*z. Let p(w) = 16*w. Calculate p(q(b)).\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639 a factor of 332244689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8378 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -4 - -2)\/1. Let o(k) = k - 3*k + g*k - 1 - 4. Let z(m) = -m + 1. Give o(d) + 5*z(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = k + k. Suppose 2*b + 2*n = 14, 4*b - 3*n - 31 = -6*n. What is the highest common factor of k and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 124, 129, 140, 163, 204, 269?\n\"Answer: o**3 - 3*o**2 + 7*o + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5081, 5172, 5321, 5528, 5793?\n\"Answer: 29*f**2 + 4*f + 5048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -28 * -31\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3469*r + 9792*r - 238*r to the form o + n*r and give n.\nAnswer: 13023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.98 - -4.764. Round l to 1 decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 10*t**2 - 27*t + 18.\nAnswer: -(t - 6)*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 873, 3264, 7149, 12522, 19377?\n\"Answer: -m**3 + 753*m**2 + 139*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/613 - 32335\/47201. Find the common denominator of 4\/63 and d.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -9*i - 251. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2589 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a**2 - 3*a**2 - 2*a**2 + (0*a + 2*a**2 + 0*a)*(0 + 0 + 2) - 7*a + 7*a + 4*a**2)*(4 - 4 + 4) in the form d*a**2 + t + q*a and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -4 - 31 + 6*p**3 + 12*p + 0*p**3 + 7. Differentiate g(m) with respect to m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -23*w**3 - 6*w**2 + 45*w. Let k(o) = -23*o**3 - 7*o**2 + 46*o. Let t(f) = -6*k(f) + 7*x(f). Find the second derivative of t(q) wrt q.\nAnswer: -138*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110.4558*451.\nAnswer: 49815.5658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 15*k**2 - 14*k + 46. Let d(j) = j**3 + 31*j**2 - 29*j + 92. Let n(g) = -2*d(g) + 5*l(g). Let i be n(6). Solve -8*q + 13*q = i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 774 * -0.175\nAnswer: -135.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 235578074 bigger than 235578074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (-2 - -6) - -2. Let u(p) = 2 + 3 - s - 2*p + p**2 + 3*p. Let w(c) = 3*c**2 + c. Suppose 18*l = -41*l - 118. Give l*u(i) + w(i).\nAnswer: i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5712 divided by -408.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/6 and -1\/2974?\nAnswer: 8922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1553221 + 18769391\/12. Let q = y + -10884. Let k = -7177\/1596 - -32\/399. What is the common denominator of q and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1985*a - 95274. Determine b(-48).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -29\/773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/1042 and -23\/7522.\nAnswer: 3918962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20*2 - 49772\/(-2164)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13293957 and 59349?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1522 - -1528. Let z(l) = -4*l + 4. Let f be z(-4). Is 12\/(-10)*f\/t - -107 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 32 = -1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/13, -3\/4, 2\/29, -21.39 in descending order.\nAnswer: 2\/13, 2\/29, -3\/4, -4, -21.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/105 and (((-35)\/9)\/7)\/((-57)\/(-24)).\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*h + 5*j - 10*j, 0 = -h + 2*j + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 6*z**2 - 10*z + 7. Suppose 89*h + 85*h + 14 = 176*h. Determine y(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-1)*(30\/900*15)\/(105\/(-2170))\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 8*a - 6*a + 2 + (-1 - 1 - 1)*(a - a + 2*a))*(2*a**3 - 4*a**2 + 4*a**2).\nAnswer: -4*a**4 + 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7085, 14413, 22233, 30791, 40333, 51105, 63353, 77323?\n\"Answer: 41*f**3 + 7041*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36017 is divided by 11669.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 5 = -g, 39 - 35 = 4*c - 2*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 25980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -9989923.4 to the nearest one hundred thousand.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*o - 190, 5*o = o + 4*v + 264. Let t be -2 + o + -16 + 15. Let b = t + -5. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 72*y - 122 = 0. Solve -y*l + 3*k = 15, -6 - 6 = l - 3*k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*2\/(-12)*(-624)\/(-3276).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 736 = -2*z. Is 57 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p + 17*p**2 - 9*p**2 - 7*p**2 to the form d + r*p**2 + s*p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 2190?\nAnswer: -4380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y - 3*y + 7 - 2*y. Let h be v(5). Let z(b) = -1 - 11*b**2 + 14*b**2 + 263*b - 264*b. Calculate z(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 12:32 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2401*n**2 + 140242704*n + 2047898378304.\nAnswer: (49*n + 1431048)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 102. Let m(p) = 16*p. Determine s(m(k)).\nAnswer: -16*k - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -86b?\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2\/5 - 664*b\/5 + 26656\/5 = 0.\nAnswer: 68, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + 157. Find the second derivative of -26*i**2 - 7*i**2 + r*i - 247*i wrt i.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10 + (-2)\/(-4). Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g. Let a be y(-1). Let m(z) be the first derivative of 3 - 3\/5*z**2 - 4\/5*z + 4\/15*z**a. Suppose m(k) = 0. Calculate k.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 5. Suppose 7*c - 9 = 10*c. Let w(q) = -2*q - 4. Let p be w(c). Sort v, p, 1 in increasing order.\nAnswer: 1, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-42) - 513\/(-2394).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 8. Let v be 3 + -1 + 4 - 0. Let w be f(v). Solve -2*q - 26 = -w*a, 3*q + a + 19 = 2*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/160 - -17\/480. Let y(j) be the third derivative of 0 + 1\/60*j**6 - j**2 + 0*j - b*j**4 + 0*j**3 + 0*j**5. What is the second derivative of y(r) wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3525*z**3 + 329*z + 329. Let b(o) = -43*o**3 + 4*o + 4. Determine 329*b(h) - 4*g(h).\nAnswer: -47*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 2. Suppose 20 = -g + 6*l - l, 3*g + 12 = 3*l. Let o be d(g). Let -21*a**4 - 3*a**5 - a**5 + 9*a**3 - 3*a**o - 24*a**3 - 5*a**5 = 0. What is a?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((12\/(-9))\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (26 - -4) - (2 + -2 - 13).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8060268\/28 + -2 - 4\/(-14). Suppose 4*w - 7865 = -s. What is w rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01238749 + 1477.2424.\nAnswer: 1477.25478749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 38*x**2 - 43*x - 222. Give z(-37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 19*d**2 - 68*d - 548. Let r be q(23). Let w = 33 + -13. Solve r*o = -0*o - w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 10:28 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604403531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 6*j - 5. Let o be x(8). Suppose -5 = 3*n - o. Find the second derivative of 2*p**2 - 4*p + 2*p**2 + 2*p - n*p**2 wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - i - 1. Let u(k) = -k**3 - 8*k**2 - 4*k - 8. Let h(w) = -u(w) + 4*x(w). Let p be h(-4). Solve p = -m - 0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v - 2 + 2 - 2*v + 2*v + v + (-2 - 3 + 4)*(-3*v + 6*v - 5*v) - 1 - v + 1 - v + 2 + 2 - 2.\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 470 (base 13) to base 14.\nAnswer: 3cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7615*z - 152331. Calculate d(20).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4098 + -8?\nAnswer: 4090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.4195 to one decimal place.\nAnswer: -14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15016 + -15004. Let i(l) be the first derivative of 0*l**2 - 2\/9*l**6 - m - 2\/3*l**4 + 0*l**3 + 0*l + 4\/5*l**5. Factor i(r).\nAnswer: -4*r**3*(r - 2)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73 * 446.07.\nAnswer: -32563.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14509853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/4*(-15 + (-6 - -17))\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 20 = 2*v. Suppose 3*t + 29 = 5*t - 5*x, -x + 3 = v*t. Suppose t*q + 5*r - 311 = 0, 3*r = 8*r - 25. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*i, 4*i = 5*w + 7*i + 5. Suppose 2*x - 742 = w*m, x + 5*m - 386 = m. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2. Let u(w) = -12*w + 2. Let o(m) = -m**2 - 6*m + 4. Let v be o(-7). Let n be u(v). Let a(h) = 32 + n - 70 + 3*h**2. Calculate a(y(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6*y = 56. Solve -y*o + 10*o - 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338718983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 62. Let a = 0.15 + -0.22. Let i = a - 0.03. What is the closest to r in -0.4, 0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84.97 + -0.03. Let n = m - -84.926. Let g = 0.426 - n. Which is the nearest to 1\/2? (a) g (b) -1\/3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-605)\/(-30))\/(3\/6). Suppose 14 + 1 = -3*y, -2*y = d - 30. Let x = p - d. Which is greater: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17868803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.32? (a) -5 (b) 0.3 (c) -3 (d) -297\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 396 and 10956?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15008 is divided by 3566?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1688434 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.3, -4.3, -1\/3, 1\/8, -205?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -107*t + 15840. Determine n(148).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -25.829\nAnswer: 361.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 805038?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 21*a - 102. Let s be p(-10). Solve 2*v - c + 0*c + s = 0, 4*v + 5*c + 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(2\/(-2))*200\/600\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 41*y**3 - y**2 + 1. Calculate l(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77037624 by 4.\nAnswer: -19259406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2 + 2. Let f(a) = -a**3 - 6*a**2 - 4*a. Let b be f(-5). Sort h, b, -4 in decreasing order.\nAnswer: h, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 62 + 260 = 5*p, 10 = -5*v. Calculate the smallest common multiple of p and 24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*y - 49 = -5*y, 5*y = -3*t - 36. Let d be (t\/51)\/(-1*1\/27). Solve 3*k + 6 = -d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41625 is divided by 13863?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1535 (base 8) in base 5?\nAnswer: -11421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 7:16 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -200*b + 196*b. Suppose -b = 48*i - 50*i. Calculate the greatest common divisor of i and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 27 + 9)*(-4 + 4 + n**2).\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 566, 33, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.2, -3\/7, -0.251.\nAnswer: -3\/7, -0.251, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 4*f**2 - 11*f + 7. Let o be n(-6). Which is the smallest value? (a) 3 (b) -2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 - 149. Let v = -69.6 - r. What is the third biggest value in v, 11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 7) + -6 + -4 + 5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsshffshs. Give prob of picking 1 f and 1 s.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33205 - 0?\nAnswer: -33205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 3*l. Let h(z) = -3*z**2 + 11*z**2 - 2*z - l*z**2 + 6. Is 32 a factor of h(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = 2*j, 11 = 4*n - 3*j - 28. Suppose 0*h + h - n = -r, 4*h = r - 11. Suppose -c + 1 = -1. Solve c*s = r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*4\/8*2 - -4. Sort 1, 0.2, -1\/2, q.\nAnswer: -1\/2, 0.2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 29. Is 1 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -88 (b) 2\/7 (c) -1 (d) 0.5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkouakkk. What is prob of sequence kr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -462 - -648. Suppose -z*g + 36 = -183*g. Solve 0 = 3*a - 9 + g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21935 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17095439.\nAnswer: 17095439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30923014.66 rounded to the nearest 10000?\nAnswer: 30920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5938, 11948, 17956, 23962?\nAnswer: 29966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + n + 6 = 0, 0 = -2*f + 3*n + 10 + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (4 - (3 + (3 - 0))) - (-525 + 438)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -878*r + 873*r - 2*z + 58 = 80, r = -5*z - 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 6*h**4 + 0*h**3)*(5*h - 2*h - 2*h) + (8*h + 7*h**2 - 8*h)*(11*h**2 - 11*h**2 + 4*h**3).\nAnswer: 34*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - 17\/((-595)\/608734)) + 6\/10 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) 85 (b) 0 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 94 = -13. Suppose -480*m - 105 = -483*m. Let o = m + u. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-9\/8)\/(f**(1\/6)\/f) assuming f is positive.\nAnswer: f**(-7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*h**2 - 2271611*h + 2271611*h.\nAnswer: 45*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 1\/80*h**5 + h**2 + 1\/160*h**6 + 0 - 1\/32*h**4 + 0*h - 1\/8*h**3. Solve t(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227689 to the power of 1\/2, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3957 - 106212150811.\nAnswer: -106212154768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwwwq. Give prob of picking 1 w and 1 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 51*k + 12. Let q(p) = 5*p + 1. Let b(g) = -2*h(g) + 21*q(g). Suppose 2 = 2*v - 2. Let o be v - (-2)\/(-4)*-2. What is b(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(3\/17))\/((k*k**(1\/3)\/k)\/k) assuming k is positive.\nAnswer: k**(76\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8 + (-1424)\/180)*18560\/928\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: bb58 (base 16) to base 11\nAnswer: 33040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -q + 73242, 1171*v - 1175*v = -5*q + 366181. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 2 + (-510)\/138. Let j be 18\/108*12\/(-7). Is h < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, t: 1, d: 1, o: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/18 (b) -0.3 (c) -3.97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 13*f + 3. Does 45 divide s(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1654356227?\nAnswer: 229, 31547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64685886*i**6 - 73900*i**2 - 13*i + 19?\nAnswer: -7762306320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -595103*i**2 + 800964*i.\nAnswer: -1190206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18377\/7 - -2619. Let c = n - -241\/35. Let s(h) = -h + 4. Let l be s(3). Is c equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 5.2. Let x = u - 0.6. Which is the third smallest value? (a) x (b) 2\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 43. Let k(l) = 2*l**3 - 2*l**2 + 3*l - 4. Let a be k(s). Find the third derivative of -3*j**4 - 8*j**4 + 2*j**4 + a*j**2 wrt j.\nAnswer: -216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.3, 3, -42, 5, 17.\nAnswer: -42, -10, -0.3, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 22 = 103. Let o be (-4)\/h*(-132)\/(-88). What is the nearest to 2 in -1, 11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 3)*(4 - 4 + 3*q + (-12 + 3 - 1)*(0*q + q - 4*q) - q - q + 3*q).\nAnswer: 34*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 573601 and 245829?\nAnswer: 1720803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 271*t - 23737. What is b(88)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(-2\/5)*t)*t)\/t*t)\/(t*t**6))**41 assuming t is positive.\nAnswer: t**(-1353\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6*(0 - 0). Suppose 0*r - 2*r = a. Suppose z - 29 = -r*z - 5*w, 85 = 5*z - 5*w. What is the remainder when 36 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.2 less than -383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i**3 + 5*i**2 + 11*i. List the prime factors of c(-3).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151659263.\nAnswer: 7, 23, 37, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.009, 29, 2\/27 in descending order.\nAnswer: 29, 2\/27, 0.009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 56504.\nAnswer: -5\/56504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5 = -1. Suppose -7*q + 8*q + 21 = -4*g, -5*q - 5 = -5*g. Let m = -512 - -514. Which is the closest to 0.1? (a) q (b) l (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 + -7)\/(1\/(-1 + 0)). What is the third derivative of 27*n**3 + 0 - 15*n**3 + d + 11*n**2 wrt n?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {c: 5, p: 1, h: 1, y: 4, l: 1, m: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 25 = 5*f, -3*l + 116 + 112 = 4*f + 243 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4))\/(2\/(-4)). Let t(d) = d**2 + 4*d**2 - 13*d - 7*d**2 + 3*d**2 + 44. Let a be t(8). Solve h*j = -5*k + 4*j + 6, 0 = a*k - 5*j - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -168*w + 8956. Calculate j(51).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 - 675627*l - 1351255\/2.\nAnswer: (l - 1351255)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.1. Let f = 2.59 + 0.41. What is the nearest to -1 in 0.5, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.9 * -19598.\nAnswer: 56834.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 883268 and 8711960.\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6351*l - 57164. Determine m(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120 - -75. Let x = 84 + y. Calculate the remainder when x is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**2. Let o(f) be the third derivative of -f**7\/1260 + 5*f**4\/12 + 35*f**2. Let w(j) be the second derivative of o(j). Determine w(a(p)).\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132650837*s**2 + 966749629*s wrt s.\nAnswer: 265301674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1313783587 rounded to 4 decimal places?\nAnswer: 0.1314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 350 = -5*x, 3*x - 4*c - 223 = c. Suppose 5*m + 46 = x. Solve 4*d = 0, q - 2 + m = 2*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + 10 + -16)\/((-6)\/(-99)*6).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 248895?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.56 in 5\/6, 0.5, 1\/3, -0.3346, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -42944.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 1, -34, -2, 2 in descending order.\nAnswer: 76, 2, 1, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1273406910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f + 0*f + f - 533*f**2 - 983 + 1035*f**2 - 871 with respect to f.\nAnswer: 1004*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**5\/30 + 11*c**4\/24 - c**2 + 2*c. Let v(y) = -y**2 + y. Let s(g) = g. Let l(o) = s(o) - v(o). Calculate l(z(u)).\nAnswer: 4*u**4 - 44*u**3 + 121*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1586200 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**(-4\/9)*(i**(-2))**21*(i\/i**(-1))**2*i\/i**(2\/25)*i**(-4\/5) assuming i is positive.\nAnswer: i**(-8548\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 587963.\nAnswer: -4\/587963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1730 + 3515. Is r a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.7143879 rounded to two dps?\nAnswer: 11.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12019 divided by -7\nAnswer: -1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*g - 6 = 0, -88*g - 14 = 3*l - 90*g for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 6118?\nAnswer: 611a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 9:47 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*s = -s - 38, 5*o = -2*s + 45. Let p = -7 + o. Suppose -p*v - 3 = -j - 0*j, 3*v = 15. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 924?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 732.894?\nAnswer: 734.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 10. Let x be z(8). Let i be (-132)\/(-28) + -1 + x. Suppose -r + 2 = 0, -4*r - r + 4 = -3*m. Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z + 2*q + 40264 = 0, 5*z - 7565 = -2*q - 1283. Calculate the remainder when z is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*p. Let k = -77 + 82. Suppose p = -k*y + 25, -1 = -5*h + 5*y - 11. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 18811.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5+-1753284075139\nAnswer: -1753284075144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5725858, 22903431, 51532720, 91613725?\nAnswer: 143146446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 + 44*a**2 - 882*a + 382. Give g(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 13. Suppose -6 = t - 9. Let f be q(t). 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 n = 603 - 602.9575. Round n to 3 decimal places.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g - 60 + 400. What is the remainder when 128 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*a + 39*a - 8*a)*(-2*a**2 - a**2 + 7*a**2).\nAnswer: 296*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -282.43441 to the nearest integer.\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-2 + -1) + 1. Suppose 0 = -3*x + k*w, 7*w - 4*w = x. Solve -10*a**4 + 6*a**3 + x*a**3 + 6*a**2 + 12*a**4 + 2*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 - -187. Let q = 21309 - 21303. Calculate the greatest common divisor of g and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 143*x - 143*x + 2*x**3 to q*x + t*x**2 + w*x**3 + h and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -130780 divided by -13078\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*f = -8, -7*f = -3*r - 3*f + 54. Suppose -3*h + 11 - 5 = 0. Solve 3*k - r = -2*k + h*i, 0 = i + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1516\/7 - -217. Let u be 1\/4*132\/55. Let q(n) = n**2 + 5*n + 2. Let i be q(-4). Which is the closest to u? (a) i (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 5)\/(-2) + 0 + -15. Let w be -2 + (s - -6 - -13). Which is the third smallest value? (a) -1\/6 (b) -4 (c) w (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.3, 479, -94, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3384962778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3247232699, 3247232698, 3247232697, 3247232696?\n\"Answer: -a + 3247232700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.432039 micrometers in centimeters?\nAnswer: 0.0007432039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4 = 2*d, 62 = -5*d - v + 52 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 0.2 (b) 1\/3 (c) -5223\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 5. Let j be f(-11). Is (-6)\/j - -4*22 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.81 - -0.5. Round y to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**5\/15 - 5*b**4\/4 - 2*b**3\/3 - 2*b**2 - 35*b. What is the lowest common multiple of 24 and n(-6)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -20. Let k(q) = -q**3 - 15*q. Let o(c) = -2*c**3 - 14*c. Let u(t) = j*k(t) + 5*o(t). Find the second derivative of u(p) wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:29 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022243716094 to 7 dps.\nAnswer: -0.0022244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -86*y - 2. Suppose -3*t = 10 - 7. Let v be n(t). Calculate the greatest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10222 (base 3) to base 12\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2540 and -2.\nAnswer: -5080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-14)))\/(t**14\/t))**(-4) assuming t is positive.\nAnswer: t**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -32 + 25 - (-26 + 0). What is the highest common factor of 57 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122940 divided by -8196?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 - b + 1. Let g be z(1). Let p be g\/(-6)*1350\/(-5). Calculate the highest common factor of p and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/2 of a kilometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35371 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 770 - 140. What is the first derivative of 63*j**3 + 647 - h + 7*j**3 wrt j?\nAnswer: 210*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 - 4*k**2 + 4*k + 5. Let f(x) = 4*x**3 - 9*x**2 + 7*x + 9. Determine 3*f(o) - 5*t(o).\nAnswer: 2*o**3 - 7*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -9 + (-37 - -35) + (8 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176544 and 14712.\nAnswer: 176544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 36. Suppose 5*y + 4 = -41. Let w = p + y. Solve 4 = -w*l - 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -264347307*u**2 + 9912672*u - 92928.\nAnswer: -3*(9387*u - 176)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 9, 4166*i + 3*p - 1 = 4168*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1442319, -1442317, -1442305, -1442277, -1442227, -1442149?\nAnswer: -1442037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 12:54 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54198 is divided by 267.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59710, 59714, 59718, 59722, 59726?\nAnswer: 59730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uskbkbmkbkmbbmbmb. What is prob of picking 3 b?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1185 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9369 * 4.\nAnswer: -37476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Suppose -28 = -7*x - 21*x. Let g(o) = -4*o - 1. Calculate x*g(d) + 2*p(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-36))\/((-12)\/(-36))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a6 - 10659b?\nAnswer: -106763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.567 + -0.033. Let y = -1.57 - w. Which is the closest to -1? (a) 3 (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4036, 3906, 3790, 3700, 3648, 3646, 3706, 3840?\nAnswer: 4060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdcsccsdccdcddcss. What is prob of sequence cs?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 470907 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4017, 4011, 4001, 3987?\n\"Answer: -2*d**2 + 4019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 9. Suppose -t = -b*t - 20. Put t, -3, 0 in decreasing order.\nAnswer: 0, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203 - 112?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from {q: 1, m: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.53*0.6.\nAnswer: 2.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 - 2)*(-300*y**2 + 158*y**2 + 176*y**2) + 3*y**2 - 9*y**2 + 5*y**2)*(y + 2*y - 4*y) as v*y**2 + i*y + c*y**3 + d and give c.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154 is divided by 112.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a - 6. Let c(i) = 6*i + 7. Let o(t) = 7*b(t) + 6*c(t). Let q(w) = -2. Let n(s) = -s + 5. Let z = 1 - -4. Let k(u) = z*q(u) + 2*n(u). Give k(o(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1050739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-4 + 477611*r - 477709*r + 8) + 2*r + 0*r - 3*r.\nAnswer: 97*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -2. Let q be (144\/60 + -3)*(-20)\/6. Suppose 2*x - 8 = -q*f, 7*f - 5*x = 9*f - 20. What is the third smallest value in y, 3\/4, 2\/7, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2035395159 to the nearest integer?\nAnswer: 45115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 22*f + 13 = 0, 1374*f - 1377*f + 11 = 2*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*g + 14409 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 15) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/6)\/((-10)\/465). Let o = 179 + h. What is the remainder when 19 is divided by 494\/o - (-2)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 11 in ascending order.\nAnswer: -1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**2 - 102*k + 77. Determine u(8).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 2450 + 3268. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 - 10*o. Let k(g) = -7*g**2 + 3*g - 6. Let c(h) = 8*h**2 - 3*h + 7. Let u(j) = -6*c(j) - 7*k(j). Determine 4*n(r) - 14*u(r).\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 10 = 2*b. Suppose 1679 = -193*s + 2065. Solve u + s*r = -4, 20 = -5*u - 3*r + b*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509 = -12*z - 89. Find the second derivative of -20*f**2 + 79*f - 10*f - z*f + 3*f wrt f.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 4*v + 7. Let q(c) = 5*c**2 - 11*c - 15. Calculate -8*k(u) - 3*q(u).\nAnswer: u**2 + u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2442000 - 21?\nAnswer: -2442021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 10*p**2 - 12*p + 10. Let q(f) = -3*f**2 - 24*f - 15. Let v be q(-7). Let l be y(v). Solve -46*u = -48*u + l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:53 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 11 + 1 = -n, -32*j - 212 = 34*j - 63*j - 43*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5992 to two dps.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11106914 divided by 14\nAnswer: -793351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/4 - 139*s**3\/2 - 1093*s**2\/4 + 210*s + 1233 = 0 for s.\nAnswer: -274, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5974762*y**3 + 7152414*y + 1 wrt y?\nAnswer: -35848572*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -12*k**2. Let j(s) = 27*s - 6. Let t(n) = -n - 1. Let l be 28\/(-12) - 225\/(-27). Let b(h) = l*t(h) - j(h). What is p(b(u))?\nAnswer: -13068*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 22, -5\/44, 5, 1\/2 in descending order.\nAnswer: 22, 5, 1\/2, -5\/44, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.93 - -0.07. Let i be (260\/50)\/2 + 2*-1. What is the nearest to m in -0.11, i, 2\/13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9497021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-91)\/(-26)*27\/21)\/(6*9\/(-324))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((24\/14)\/(-1))\/(9\/(-63)). Solve 0 = -5*d - w - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14158357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7971 and 69.\nAnswer: 183333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.022 in -18, 2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214045 by -65.\nAnswer: 3293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8207778.\nAnswer: 2, 3, 1367963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (170*w**2 + 993*w - 993*w)*(0*w - 2*w + 4*w)*(-w + w - w + 16*w**2).\nAnswer: 5440*w**5 - 340*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/116 and -99\/4?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10634597 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 186 - 31. Calculate the highest common divisor of a and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -478 times 5294\nAnswer: -2530532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94688259 is divided by 653?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12444 and 12818?\nAnswer: 4691388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48190344*q**3*s**3 - 30669461*q**3*s**2 - q**2*s + q*s**4 - 2*s**2 wrt s.\nAnswer: 289142064*q**3 + 24*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -8 + -47 + 99?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4192 - -4492. Calculate the greatest common divisor of q and 960.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 - 3.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, z: 3, n: 2}. What is prob of picking 1 n and 1 z?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -33*r**2 + 80*r - 24. Give j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7957331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4644 - 4603. Solve o = f + 33 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48322 (base 12) to base 4\nAnswer: -113233022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*u = -3582023 + 3582363 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 2*l - 36, -3*z + 62*l + 45 = 65*l for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 40128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/2))\/q)**23\/(q\/q**(1\/6)*q*q**(3\/2)) assuming q is positive.\nAnswer: q**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r + 31. Let a be h(10). Let j = 425\/77 + -56\/11. Which is greater: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 - 6660*o + 13299*o - 6639*o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 4*a + 3. Let u be y(-3). Let x be (u - (-16 - -2))*6. Suppose -2*q - x = -6*q. Solve 5*s + 3*w = 23 - 10, q = 5*s + w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -9. Let d be (-648)\/(-252) - 3\/(-7). Determine b so that 0*b - d*b**3 + 7 - 1 + u*b = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2. Let d = 2 - 0. Suppose 0*i - 4*s + 20 = d*i, 5*i + 4*s = 26. Let m(h) = 3*h - 2*h - i*h. What is m(k(p))?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55288200 and 8846112.\nAnswer: 221152800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -299*o - 2. Let p be i(-2). What is the common denominator of 23\/4 and 20\/24*p\/(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 15*y**3\/2 - 2080*y**2 + 26330*y + 18480 = 0.\nAnswer: -2\/3, 14, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*j - 23, -3*u + j + 43 = 2*u. Suppose -v - u = -4*v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 9*m**2 - 2*m - 14. Let y be z(5). Let b(x) = 1 + 3*x + 0 + 13*x. List the prime factors of b(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 5*b**2 + 8*b + 6. Let x be j(7). Let k = 27 - -9. List the prime factors of 656\/k + 8\/x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/9 and -91\/1182.\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 6*z + 3. Let w(o) = -o - 4. Suppose 3*p = p. Let l be w(p). What is the remainder when 21 is divided by f(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptyt when four letters picked without replacement from {g: 4, q: 1, y: 3, t: 2, h: 1, p: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 71*b + 2903. Let k be a(29). Sort k, -75, -3, -2, 10 in increasing order.\nAnswer: -75, -3, -2, k, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**4\/12 + 2*n**3\/3 - 2*n**2. Suppose -2*z = -5 - 5. Suppose 5*o + 10 = z*y - 20, o + 4*y = 9. Calculate a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r*r\/(r*r\/r**(2\/27))*r)*r\/r**(-34))\/((r*((r*r*r**32)\/r)\/r)\/(r*r**34)))**(-30) assuming r is positive.\nAnswer: r**(-9430\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 11*x + 4. Determine n(9).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -1 - (-242 + 225 + 43 + -2 + -11).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-6))\/(o*o\/(o\/o**(-1\/5)*o)*o))**1*(o**(3\/5)\/(o**5\/o))\/((o*o**1)\/(o**(1\/2)\/o*o)) assuming o is positive.\nAnswer: o**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**3\/6 - 3*a**2 - 4*a. Let s be j(-13). Let z(b) = b**2 - 8*b + 10. Give z(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 108. Let h be (-36)\/48 - f\/(-8). Let a(j) = -j**3 + 13*j**2 - 16*j - 7. What is the units digit of a(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198796603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 49*a**2 + 42*a - 20*a - 66*a**2 - 22*a. Let b(o) be the second derivative of o**3\/6 - 18*o. Calculate y(b(t)).\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -1870\/3, -3, -2, -28, -4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -5 + -3 + -1 + -11 + 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10032013 - 13311?\nAnswer: 10012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:03 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071\/2713 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 13. Which is the biggest value? (a) 0.5 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*w = 6*w - 4, -2 = 4*q - w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -309308, -309322, -309340, -309362?\nAnswer: -309388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + g. Let q be p(-2). Suppose 6*c = 4*j + q*c - 68, 0 = 2*j - 4*c - 44. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-15)*(4270\/(-462))\/(-61)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -118\/41, -2, -105\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -104726565.9\nAnswer: -104726565.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (18 - (42 + -22))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 6529*i - 130180.\nAnswer: -(i + 20)*(i + 6509)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + -74. Put -2, -1, w, -4 in decreasing order.\nAnswer: -1, -2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -2*b**4\/3 + b**3\/2 - 2*b**2 - 759*b - 2. Give h(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, c: 3, w: 3, l: 2, g: 2, i: 4}. Give prob of sequence zz.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(76) + (-1*sqrt(76) + sqrt(76))*1))\/(-2*-1*sqrt(4) + sqrt(4) + (sqrt(72) - sqrt(8))\/sqrt(2)).\nAnswer: 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 3*d**2 + 3. Let c(g) be the second derivative of -g**4\/12 - 5*g. Calculate -3*c(a) - z(a).\nAnswer: -a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4.29, 2\/5.\nAnswer: -4.29, -4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(128) + sqrt(128) + 1 + 2 + 0.\nAnswer: 6 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14446 - -14489. Calculate the remainder when 1145 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -408*q**2 - 2. Let l(y) = 1154*y. Calculate n(l(c)).\nAnswer: -543340128*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 819 - 204 - 772*f - 203 - 209 - 203.\nAnswer: -772*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 3\/7, 8 in increasing order.\nAnswer: 3\/7, 8, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 171570147*z**2 - 104476736 wrt z.\nAnswer: 343140294*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w + 48 = 11*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/165, -2\/15, -961 in decreasing order.\nAnswer: -2\/165, -2\/15, -961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 196384518\/81 - (-46)\/(-207). What is t rounded to the nearest 10000?\nAnswer: 2420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**4 - 15264*v**3 + 14668168*v**2 - 202570560*v + 187917652 = 0. What is v?\nAnswer: 1, 13, 1901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 6*r**2 + 7*r + 11. Let j be o(-5). Let p = 0 + 1. What are the prime factors of (p\/3)\/(j\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 4*w**2 + 2*w + 18. Suppose -32 = 19*g + 44. Let j be l(g). Solve -k + j = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-240)*-6*(-6)\/21.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -24. Suppose -2*r - 5*g + c = r, -3*r = -4*g - 44. Suppose 6 + 2 + r*l**3 + 18*l**2 + 3*l**4 + 12*l - 5 = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112102112011 + -12?\nAnswer: -112102112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 100?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = g + 34, 4*z - 79 - 62 = -g. Calculate the highest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/108)\/((12\/14)\/((-5076)\/(-1316))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 11. Solve -q + 7*q = -r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2593126 and -15.\nAnswer: 2593126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxvyxxyoxxgoxyov. Give prob of sequence xgyo.\nAnswer: 3\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 3177.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25.0112 and 0.44.\nAnswer: -24.5712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-6) - (-118)\/(-12). Let l(o) = -9*o + 10. Let y be l(2). List the prime factors of ((-18)\/y - 2)\/(m\/(-9560)).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 6*a**2 + 7*a - 5. Let t be m(-7). What is the third smallest value in 0.4, t, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -373012*a**3 - 2*a**2 - 167516*a + 1 wrt a?\nAnswer: -2238072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179044.\nAnswer: 2, 294761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 506 by -1.\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 28*h + 147. Let d(y) = -3*y**3 + 307*y**2 - 407*y + 296. Let i be d(101). Calculate v(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 348 - 348.9. What is the nearest to 0.1 in -0.1, 4, x, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2274*s + 2009 = -265 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - 92. Let s be (-728)\/39 - (4\/(-3))\/2. Let z = s - l. Calculate the highest common divisor of 189 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -25*f + 21*f + 205, 0 = 4*f - 4*a - 204. Calculate the remainder when 87 is divided by f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11093140?\nAnswer: 2, 5, 43, 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*g + 233 + 290, -3*l + 4*g + 785 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.7 - 2029.59843.\nAnswer: -2033.29843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spsp when four letters picked without replacement from {s: 5, p: 8}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d + 157. Determine j(37).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16, 6, -4?\n\"Answer: -10*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 13.1. Let o = 151\/5 + -30. What is the nearest to b in o, 2, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/45)\/(29\/696))\/(-7 + 184\/(-40))?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6201?\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t = -2*o - 7143, t + 2*o = -2381. Let n = -1188 - t. What are the prime factors of n?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05498 - -0.07512. Do 1 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**4\/4 - 3*h**3 + 10*h**2 - 17*h - 2787. What is m(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 9:47 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -435023 (base 6) in base 13?\nAnswer: -1356c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4814 - 4819. Put 0, s, -673 in descending order.\nAnswer: 0, s, -673","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*n**4 - 111*n**3 + 207*n**2 - 141*n + 30.\nAnswer: 3*(n - 5)*(n - 1)**2*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 60*q - 640. What is w(21)?\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -36.03. Let h = 254.1 + -254. Which is the nearest to h? (a) -0.5 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:08 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58654521287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**3 + q + 51. Let i(j) be the first derivative of -j**3\/3 + j**2\/2 - j - 1. Give 2*i(s) + z(s).\nAnswer: s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -1\/6*w**3 + 9 + 1\/12*w**4 + 7\/60*w**5 - 3\/2*w**2 - 8*w. Let t(k) be the second derivative of m(k). Give t(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -13*l - 2. Let d(c) = -100033*c. Calculate y(d(r)).\nAnswer: 1300429*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l + 15*l + 56. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10935)\/(-243)*(20\/30)\/(-2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-18) + 799\/(-3243)*-161?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 61*m + 11. Let b(g) = 92*g + 16. Let w(o) = -5*b(o) + 7*f(o). Let l be w(-3). Suppose 2*t - l = t. What is the highest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g - 2*r - 8, -3*r = 3*g + 6. Let c(w) = 3 - w**3 + 5*w**2 + 6 + w - 2*w**3. Let q(a) = -2*a**2 + 7*a + a**3 - 7*a - 4. What is g*c(y) - 5*q(y)?\nAnswer: y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -475 + 288?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189340.\nAnswer: 2, 5, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4\/6 + i**2\/6 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 573405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 397*v - v**3 - 428*v - 2*v**2 + 3*v**3 in the form d*v + b*v**3 + i + w*v**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 6*k**2 + 7*k - 8. List the prime factors of h(6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 32*y**2. Let o(i) = -2*i - 32. Give o(d(j)).\nAnswer: -64*j**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2318 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4775 or -128953\/27?\nAnswer: -128953\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4572?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nssnnnsgnnngnnnnllnl. What is prob of picking 2 g and 1 l?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 13523844\nAnswer: -5409537.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from tgtmgufmgg?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 69. Let i = l - -53. Calculate the remainder when i is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19bc + 242?\nAnswer: -177a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 103579152197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(1\/2)\/g))\/g*g*g)**(-9\/11)\/(g**(-4\/7)\/((g*g**(-4))\/g)))\/((g\/g**1)**(-32\/3)*(g*g\/(g\/g**(-3)))\/(g\/(g*g**(-3\/8)*g*g*g)*g)) assuming g is positive.\nAnswer: g**(-3141\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17036125 and 255.\nAnswer: 51108375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbyeeyenbebbe. Give prob of picking 1 b and 1 y.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 15650 = -118330. Suppose -22*w = -8*w - y. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -31\/3 (c) -7\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:03 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1585757 divided by 1585757\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 879078906 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 less than -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132947 is divided by 13294.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -28\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f. Let c be g(1). Let z = 11 - c. Calculate the highest common divisor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*r + 4. List the prime factors of (r + (-14)\/(-4))*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1158.5 - 1159. What is the closest to -0.3 in -71, p, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3162617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/33, -1\/3, -3\/20, -5, -127 in decreasing order.\nAnswer: 2\/33, -3\/20, -1\/3, -5, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-21 + 21 - 2*x)*(3*x - 1 + 1).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 292\/915 + 344\/2745. Suppose -k*m**2 - 16\/9 - 20\/9*m = 0. What is m?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 4, 0.1, -134 in ascending order.\nAnswer: -134, -3\/4, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b + 10. Let r be (200\/10 + -18)*(1 - 5). Calculate m(r).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 14460*o - 57781. Give c(4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -327*k**4*t + 54*k**3*t*z + 60*k**3*t + 1295*k**2 - 5*k*t*z - 107*k*t - 2 wrt k.\nAnswer: -7848*k*t + 324*t*z + 360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k - 2*k**5 + 2*k**5 + 4*k - 4*k + (-2 - 1 + 1)*(k**5 - k**5 + k**5) + 0*k**5 - 2*k**5 + k**5.\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from {y: 5, i: 3, v: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 != -210\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -82. Suppose 35*d = j*d + 36. Let s(k) = k + 5. What is s(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x**4\/5 - 26550*x**3 + 66456*x**2\/5 + 172590*x + 398268\/5 = 0. What is x?\nAnswer: -11063, -2, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1767*n**3*y - 4697*n**3 - n - 2*y + 1 wrt y?\nAnswer: 1767*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272210967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1848301 and 1365.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*j**2*o**3 - 1292*i**3*j**2*o + 8*i**2*j**2*o**3 + 7*i**2*j*o**2 + 2*i*j**2 + 12*j*o**3 wrt i.\nAnswer: -6*j**2*o**3 - 7752*j**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - l + 0 + (0 + 0 + 4*l)*(-3 - 2 + 0) + (-2*l + 0 + 0)*(1 - 2 - 1).\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4*i - 3 = 0, -3*i = -3*s - 4*i - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -56870323939042 and 1.\nAnswer: -56870323939041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + 79574*o - 4*o**3 - 79572*o - 9*o**2 as n + m*o**2 + j*o**3 + k*o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1 + (0 + 2 - 4)*(4 - 3 + 1))*(2*c**3 + 0*c**3 + 4*c**3) + (-c + 5*c - 3*c)*(23*c**2 - 63*c**2 + 18*c**2).\nAnswer: -58*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*c**2 + 3)*(4 - 17 - 18)*(6*c - 3*c + c)*(-1 + 1 - 2*c).\nAnswer: 992*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, 20, 42, 72, 110, 156, 210?\n\"Answer: 4*p**2 + 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48267, -96515, -144743, -192951, -241139, -289307, -337455?\n\"Answer: 10*m**2 - 48278*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (25\/20)\/((-9)\/(-36)). Solve 5 = h + 3*j, -5*h - p*j = -9*j + 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3075494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + k)*(2 + 106 - 15) - 2*k + 3*k - 2*k - 4 + 4 + 2*k + 3*k + 0*k - 4*k + 2 - k - 2 - 2*k + 3*k + 0*k + (-4*k + 4*k + 2*k)*(6 - 2 - 2).\nAnswer: 97*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.926 in 1, -5, -4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 minus -19.27?\nAnswer: 266.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2351*c + 707.\nAnswer: -2351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5 = -z. Let s = -104.1 + 104. Let f = -4 + 4. Which is the closest to f? (a) z (b) -2\/9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**2 + u + 1. Let o be j(-1). What is the greatest common divisor of o and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1734 is divided by 854?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3 + (0 + 3 - 4)*(7 - 3 - 3) + 3 + 5 - 2)*(8*h - 6*h - 8*h - 2*h - 3*h + 4*h + (-4*h - h + 4*h)*(5 + 4 - 1)).\nAnswer: -90*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -174, -134, -54, 78, 274, 546, 906?\nAnswer: 1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*x - 86, 8*x - 10 = 3*x. Let r = 175 + g. Find the third derivative of -191*n - 55*n**3 + r*n + 16*n**3 + 39*n**2 wrt n.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 458 - 258. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z - 20. Suppose -z*h = 3*n - 8*n + 35, -n + 5*h = -7. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) - 6\/(-21). Suppose 0 = -2*z + 4 - h. Calculate the lowest common multiple of z and 21 + -2 + (-2 - -5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 53) + (-4 - -5 - (-50 + 2)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13388, -13020, -12650, -12278, -11904, -11528, -11150?\n\"Answer: j**2 + 365*j - 13754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 1, g: 7}. What is prob of sequence gzbg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -29 (b) 3 (c) -2 (d) -4 (e) 0.2 (f) 42.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**2. Let j(d) = 217823373*d. Give s(j(n)).\nAnswer: -237235109125485645*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwwwwcwkwwwc. What is prob of sequence ckwk?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1734, -7603, -17388, -31089, -48706?\n\"Answer: -1958*y**2 + 5*y + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -4*g. Suppose -g*m + 36 = 28. Let w(f) = -f**3 + 3*f**2 + 9*f - 5. What is the units digit of w(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*y - 46 - 624 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -119, -118, -125, -146, -187, -254, -353?\n\"Answer: -s**3 + 2*s**2 + 2*s - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(5\/(-5) - -2). Solve g - 6 = -4*p - 18, -h*p = 4*g - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/2952 and 29\/11?\nAnswer: 32472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 729756299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12)\/(2*(-1)\/(-3))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 6:12 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8730 and 27936?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 4*h - 3*h + (-2 + 3 - 3)*(-3766*h - 3797*h - 2229*h).\nAnswer: 19582*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 119639*p**2 - 79*p + 40. Suppose 58 - 178 = 8*a. Let f be q(a). Round f to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149 + 149. What is the third biggest value in b, -0.5, 0.25?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine sixteenths of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/7, -2, -39, 3 in increasing order.\nAnswer: -39, -2, -9\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01548 to four decimal places.\nAnswer: 0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 times -5?\nAnswer: -2900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10000110001010100111 (base 2) to base 15\nAnswer: acc63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 5. Let n be x(0). Let q(c) = 462*c + 14. Let p(y) = -154*y - 5. Let s(v) = 17*p(v) + 6*q(v). Is s(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v**5 + 57 + v**4 - 55 - 4*v**5 - 2*v**5 + 2*v**5 + v**5 + (v**3 - 4*v**3 + v**3)*(-1 - v**2 + 1).\nAnswer: 6*v**5 + v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 35*u**2 + 245*u - 275.\nAnswer: -5*(u - 11)*(u - 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 147.6289.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/190*((-20250)\/12)\/(-9))\/((-2)\/(-4)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 87 = -4*k. Suppose 0 = 5*w + 6 - k. Suppose f = -5*m + 36, -23 = -w*f + 3*m + 13. Calculate the highest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11100000001111010 (base 2) to base 9\nAnswer: -184436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2 + 43*x - 138 = 0. What is x?\nAnswer: -46, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36008672 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 + 9 + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/21344 and 51\/116?\nAnswer: 21344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8965182, 17930382, 26895612, 35860878, 44826186, 53791542, 62756952, 71722422?\nAnswer: 80687958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 47*v**2 + 19*v + 19. Give s(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*k - 36 = -299*k. What are the prime factors of -3 - (5 + k) - -59?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.2207 - 2.2. What is h rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1392661144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 12*r**2 + 4*r + 7. Let c be w(12). Let l = c + -86. Let d = 54 + l. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2545974191 - 2545974191 - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6976.244 millilitres to litres.\nAnswer: 6.976244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 6*y - 3*g + 3, -5*y + g + 16 = 0. Solve 16 = y*j + 3*s + 4, j - 4*s - 9 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 779176238457*t**2 + 779176238436*t**2 - 3*t.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3699 + -2?\nAnswer: 3697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00114734 to six decimal places.\nAnswer: 0.001147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 z, and 2 g when four letters picked without replacement from {a: 1, j: 3, z: 4, g: 10}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 + 639\/7. Let b = 74 - 80. Let n = -953\/5 - -190. What is the third biggest value in a, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f + 2*n - 210, -2*n = 3*f + 290. Let x = -16 - f. Does 28 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-36)*1)\/((-4)\/(-10)). Put -0.2, v, -0.3 in decreasing order.\nAnswer: -0.2, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*y + 5 = 36, -2*s = -5*y - 4. Let o(g) = 9*g**2 + 7*g + 1. Let i(j) = -4*j**2 - 3*j. Determine s*i(b) + 3*o(b).\nAnswer: -b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 6:39 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 258157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*x = 103, 0 = -p + 5*x + 23 - 52 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/14 and -23\/94115.\nAnswer: 188230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c = -24. Suppose -2*w - 2*w - c = 0. Is 50*(-3)\/6*w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 16\/(-5) - 3\/135.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**2 + 2*m + 1. Let b(x) = -11*x**2 + 5*x + 2. Determine 3*b(o) - 8*v(o).\nAnswer: -o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -4, 3.159, -64?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2. Suppose -12 = -5*m + h*m. Let c(o) = -o**2 + o - 3. Let q(t) = -t**2 + 2*t - 4. Give m*q(k) - 6*c(k).\nAnswer: 2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -200 + 803\/4. Let t = -27\/44 + f. Find the common denominator of t and 105\/34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 - 217 = -4*i + i, -2*d - i - 8 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 27. Let s be 2\/14 + 54\/o. Suppose -4*z - 4*d + 0*d = -44, -3*z = s*d - 31. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -369 - -502. Let z = g + 25. What is the remainder when z is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 7. Let n be p(4). Let h = -10 + n. Let q(j) = 2*j + 14. Let x be q(h). Solve 2*s - 2*l - l = x, 4*s = 2*l - 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 10)\/1 - 19\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -106*o - 212. Let h(z) = 322*z + 635. Let r(p) = 11*p + 119. Let l be r(-11). Let q(n) = l*h(n) - 7*m(n). Find the first derivative of q(b) wrt b.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose 0 = 2*b + j*b + 10, -2*b = 2*r. Let q = 4 - 3. Calculate the remainder when r is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (((sqrt(675)*-3)**2 - sqrt(675)) + 5 - 1*(-2 + sqrt(675))**2)*-2.\nAnswer: -10803 - 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23925*i**3*y**3 - 69*i**3*y**2 + 3*i**3*y - 3*i**2*y**2 - 3*y**2 wrt y?\nAnswer: -143550*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -217 - -217. Let m be (186\/(-63) - -4) + 4\/14. What is the closest to 1 in m, 2\/13, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 79.9, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575525.\nAnswer: 5, 23021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -193425 smaller than -193428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25600 = -20*n - 5*n. Suppose 0 = -18*w + 5326 - n. What are the prime factors of w?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*i**5 - 20930000*i**4 - 20930035*i**3 + 15697505*i**2 + 10465015*i - 5232505 = 0. What is i?\nAnswer: -1, 1\/2, 1046501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57055527 to the nearest integer?\nAnswer: 7554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x + 15*x + 10*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 2 - 2)*(q - 4*q - 4*q)*(-6*q**2 + 81*q + 84*q - 164*q).\nAnswer: -84*q**5 + 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-102)\/(-28)) - (-20)\/(-10). Which is greater: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2118 divide 177511698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-1) - (278 - 244).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2 + p**2 - 5*p + 4*p**3 + 1 - 9. Let a(b) be the second derivative of 3*b**5\/20 + b**4\/12 - 2*b**3\/3 - 5*b**2\/2 - 9*b + 5. What is 5*a(q) - 4*c(q)?\nAnswer: -q**3 + q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**7*d\/(d\/((d*d\/((d*(d**(-3\/5)*d*d)\/d)\/d))\/d))*(d\/(d**(-2\/9)*d*d)*d)**(2\/31) assuming d is positive.\nAnswer: d**(10622\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 33843.94 millilitres?\nAnswer: 33.84394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11 (b) -32666 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - 5*o**5 - 3*o + (4*o + o - 4*o)*(0*o**4 - 3*o**4 + 2*o**4) + 0*o**5 - o**5 + 3*o**5 + (-2*o**2 - 3 + 3)*(2*o**3 + 2*o**2 - 2*o**2).\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(24))\/(2*sqrt(32)\/sqrt(4)) - (4 + sqrt(18)\/((sqrt(24)\/sqrt(4) - sqrt(6))*-4 + sqrt(6))).\nAnswer: -4 + 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 112220 (base 4) to base 12\nAnswer: a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 + 5*q + 7. Let y be n(-4). Let b = -30 + y. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30445 = -5*h - z, 9*h + z + 12171 = 11*h. List the prime factors of h.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + t - 4 = -3*t, 0 = -2*y - 2*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11239231 is divided by 837?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -72, 95, 5, -3011 in decreasing order.\nAnswer: 95, 5, 4, -72, -3011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 261.1 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - s + 4 = 41, 2*s - 38 = -3*a. Suppose u = 2*q - 43, q - 3*u = 3 + a. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 111*v + 2077. What are the prime factors of s(25)?\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 - 2*q + 2. Let z(v) = 10505*v**3 - 11460*v + 11460. Calculate -5730*g(l) + z(l).\nAnswer: -955*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2 - 7 = d, 0 = -5*d - 3*h + 15. Suppose -f - d = f. Let r(c) = -c**3 - 2*c**2 - 3*c + 4. What is the units digit of r(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 408 = o, 4*t - 1079 - 101 = -3*o. Suppose 4*x + 0*x = o. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23490 and 7323210.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13 + 12)*(-14 + 8 - -6). Solve -5*k - 8*t - 35 = -3*t, -2*k - t - 12 = f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -213 - -213. Let j = 0 - 1. Let c = v - j. Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-455 + 453 + (1 - (-2 - 0)))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17a9592 - -3?\nAnswer: 17a9595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7 = -13. Let g = q + -6. Does 4 divide (3 + 12\/16)*g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3793*k**2 + 43998*k - 596788604 wrt k?\nAnswer: -7586*k + 43998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14920808, -14920799, -14920790?\n\"Answer: 9*n - 14920817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 6*u**2 - 9*u + 8. Let t be i(8). Let q be (-11)\/(-4) + -4*(-4)\/t. Solve -q*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5440 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9933 + 30503. Suppose 0 = -65*y + x + 67895. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -20\/12583 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -969 bigger than -2906\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2, -4291, -2 in ascending order.\nAnswer: -4291, -20, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -4*v - 3*q, -49 = 4*v - 3*q - 152. Let b be 16 + -1 + (1 - 2). Let a = v - b. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6437.606 centuries to years.\nAnswer: 643760.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.8 - 7.8. Which is smaller: -5 or h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/((sqrt(1152) + sqrt(8))*5))\/(((sqrt(12) + sqrt(60)\/sqrt(5))\/sqrt(2) - sqrt(6)) + sqrt(6) - -3*sqrt(6)*1).\nAnswer: sqrt(2)\/325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(15\/(-9) + 3). What is the greatest common factor of f and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 288 and 960.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 9. Suppose -5*j + 9 + 11 = 0. Let y(c) = -1. Give j*x(f) + 36*y(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 + 0.82. Let q = i + -0.2. What is the closest to -2\/7 in 2\/19, q, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -294541 - -558944. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 + 27*k**2 - 5*k - 15. Let v(p) = p**3 - 13*p**2 + 2*p + 8. Let d(y) = 2*a(y) + 5*v(y). What is the remainder when 47 is divided by d(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 1313664342 + 1313664350 - 2627328692.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*q - 24*q - 18. Let o(y) be the third derivative of 0*y + 0*y**4 - 1\/40*y**q + 1\/6*y**3 + 0*y**5 + 2*y**2 + 0. Differentiate o(n) wrt n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -209.\nAnswer: 26\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.060358861 to three dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-20) - (-304)\/(-10). Let z = -14 + 5. Let m = j - z. What is m rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2695 + 2696.266. Is j less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2283*c - 4493 wrt c?\nAnswer: 2283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.5. Let k = -5848\/6125 + 46\/49. Let q = -494\/375 + k. Put 0.3, b, q in increasing order.\nAnswer: q, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 961 - 721. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + u - 245. Let g = 11804 - 11796. What is the remainder when u is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001179826 to 5 decimal places.\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*j**2*p**3 - 998045*i**2*j*p**3 + 4*i*j*p**3 - 15*i*p + 30250*j**2 wrt i.\nAnswer: 4*j**2*p**3 - 1996090*j*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-33)\/(-48)*4 + -5. Let j be -2 + -1 + (i - -189997). What is j rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.158961 rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45377959 and 718.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 - -96. What is the hundreds digit of 11182\/8 + 6\/96*v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2 - (-17)\/8). Suppose 23 = n - r. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 15 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29582434 to the power of 1\/2, to the nearest integer?\nAnswer: 5439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 3 - f**2 - 4)*(241*f + 40*f - 2*f**3 + 14*f) + 2*f**3 - 2*f**3 + 3*f**5.\nAnswer: 5*f**5 - 307*f**3 + 1770*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 92*d**5 - 5*d**4 + 48*d**2 + 3*d + 7. Let k(n) = n**5 - n + 1. Let h(t) = -3*k(t) - l(t). Find the third derivative of h(c) wrt c.\nAnswer: -5700*c**2 + 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*l - 5*l - 16, q - 2*l - 4 = 0. Let p(j) = -3 - 14*j + 10 + q*j**2 + 7. Let z(i) = -i**2 + 3*i - 3. Let d = 11 + -25. Calculate d*z(h) - 3*p(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0038369 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53\/164 + 6869\/820. What is the common denominator of x and -121\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 13. Let q be o(-3). What is g in 9 - 12*g - q*g**2 + 13*g**2 + 0*g**2 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 249869 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -14. What is the third derivative of -5*i**2 - 5*i**3 - 5 + 7*i**m + 5 wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8\/7, 171, -2\/11, 1, 5?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 23. Let w be t(-14). Let o be (4 - (-72)\/(-20)) + (-18)\/w. Solve -y + o = 4*c, c + y + 2 = 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3 + 11402145*f**2 - 2*f + 2071301?\nAnswer: 12*f + 22804290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/21 + 50109592*v\/21.\nAnswer: -2*v*(v - 25054796)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0 + 0*r + 3\/8*r**4 - 35*r**2 + 0*r**3. Let y(w) = -2*w. Calculate s(y(u)).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbklhsllsishk. What is prob of sequence hssk?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488 = 6*p - 418. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.1, -2\/67?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 9304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2495*g - 2488*g. Let p be -2 + 0\/(3 + -1). Put -7, -4, g, p in descending order.\nAnswer: g, p, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50\/98949 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.254 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06608904 to three decimal places.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -7*s + 5. Suppose -2*z = f + 663998, -f + s = 3*f. What is z rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 76. Let v be g(38). Solve -53*o + 48*o + 20 = v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x - 388 = -118 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 - (-58)\/7. Suppose 5*n - 4*u - 62 = 0, -u = -n + 12 - 0. Solve 3*m = -4*i - n, 0 = 5*m - m + q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 4, -1\/90, -5, 5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5*n + 30, -6 = -4*r + 204*n - 202*n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 5*w**2 - 5*w - 6. Let g be t(6). Suppose 0*i + 8 = -4*q - 4*i, g = -2*q - i. Solve -3*c - q*u = -10, c - 25 = 3*c - 5*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/241849968 and -109\/356448.\nAnswer: 483699936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10870, 21727, 32572, 43399, 54202, 64975, 75712, 86407?\n\"Answer: -h**3 + 10864*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-1155)*(-3 + (-16)\/4). Let g = -0.8 - 0.2. Which is the fourth biggest value? (a) -2\/15 (b) l (c) -2\/3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-16)*20*-1. Suppose q = 5*s, 7*t = 4*t + 5*s + 3125. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 10*u - 4. Let v be y(-10). Sort 3, v, -12.\nAnswer: -12, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 323, -2, 5, 2, 3, -1 in decreasing order.\nAnswer: 323, 5, 3, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3195 by 9.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3028 by 3.\nAnswer: 3028\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77600 = -29*c + 77223 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -601, -4\/5, 0, 12, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 32 = 5*r, -2*n + 4*n = r - 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440695 and 4989.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3085*x = -127539 - 248831 for x.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 - -173. Solve -4*m + n*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17397\/320 + -273\/5. Calculate the common denominator of -121\/96 and w.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*j = 180*j + 4*d - 4, -3*d = -4*j - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 365857937?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3842 and 271426?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 - (3 + (-2 - 6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*n + 1407 = -336*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3840 + 1911 + 1924 - 214*u - 4084*u**2 wrt u?\nAnswer: -8168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*v**2 - 966*v**2 + 230*v**2 + 204*v**2 + 254*v**2.\nAnswer: -62*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5 = -2*f, -6*f = -4*f - 3*v + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30294523 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 22*k + 34. Let q = 9 - 6. Put -4, k, q in increasing order.\nAnswer: -4, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmgmmgmmg. What is prob of sequence mg?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-4*l + l + 2*l)*(4 - 2 - 4)*(113 + 96 - 24).\nAnswer: 370*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4556 and 48776?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 - 688*x**2 - 1364*x - 680 = 0. What is x?\nAnswer: -170, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**4 - 1228*g**3 - 3660*g**2 - 3652*g - 1216 = 0.\nAnswer: -304, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740335283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*b + 89*b + 855 = 123*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 342, 344, 348, 354, 362, 372?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -22 - -19 - (30 - -31)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -132, -343, -702, -1257, -2056, -3147, -4578?\n\"Answer: -8*q**3 - 2*q**2 - 49*q + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-262)\/(-393))\/(56\/12)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1022 + 2244?\nAnswer: 3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10793 - 8245.9. What is j rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011101100 - -110?\nAnswer: -1000011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 + 3*o**2 - 5*o - 1. Suppose -2*q - 10 = 0, q - 5*q = 3*h + 29. Let u(w) = -w**3 + 2*w**2 - 3*w - 1. Give h*i(t) + 5*u(t).\nAnswer: t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 2:45 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0 + 1 + -2. Let m(h) be the second derivative of h**6\/720 + h**5\/60 - 3*h**4\/4 - 3*h. Let z(f) be the third derivative of m(f). Give z(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdmdmssssxdxtm. What is prob of picking 3 d and 1 x?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.216 - 20.484. Let k = -21 - i. Which is the nearest to -1\/4? (a) -4 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128748880.\nAnswer: 2, 5, 13, 43, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (112\/(-126))\/(1050\/135)*10\/4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*((sqrt(605) - (sqrt(605) + sqrt(605) + -1))**2 + sqrt(605)) - (sqrt(605)*-1 + 2)**2).\nAnswer: 44*sqrt(5) + 4836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0258302 decades in millennia?\nAnswer: 0.000258302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4 + 58*u**3 + 201686*u**2 - 1413778*u + 1212036 = 0. What is u?\nAnswer: -307, 1, 6, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800193.3 millennia to years.\nAnswer: 800193300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 n, and 2 s when four letters picked without replacement from {h: 2, s: 2, n: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50457595921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 + 122350?\nAnswer: 122503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k*k\/k**(-8\/5))\/k*k**(8\/3) assuming k is positive.\nAnswer: k**(124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -2 + -44 + 25 + 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 8. Let j be f\/(4\/2)*-2. Suppose -j*s + 8 = -0*s. Solve -s*o + 8*o = 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24*(-55)\/6600)\/(((-1)\/(-1))\/((-5)\/(-146))).\nAnswer: -1\/146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(2\/6) - 7\/7. Let o be (7 - 5)\/(2\/(-4)). Let v be y - o*(-6)\/(-3). Let d(w) = 2*w + 4. What is d(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-50) + ((-14)\/(-10) - 2)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 5*l**2 - 9*l. Let b be o(-6). Let f = 156 - b. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 456413.\nAnswer: 1\/456413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2208 and 121\/48530.\nAnswer: 2329440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*i**2 - 2741*i + 6*i**2 - 15*i**2 + 9057 + 10*i**2 - 1978*i wrt i?\nAnswer: -4*i - 4719","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -693*h. Let s(q) = q**2. Give s(r(j)).\nAnswer: 480249*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 309694942 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6908\/1672437 - -8\/1159. Is u at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-8 + -4 + 4 + 16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o**2. Let i be (-1 - 2)*(-3 + 2). Suppose 0 = -i*t + j + 47, 5*j - 54 = -0*t - 2*t. Let x(y) = -6*y - 12*y + t*y. Give x(c(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1746.\nAnswer: 1\/1746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 12:49 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-11 - 3 - -16) + 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*i - 42 = -300*i. Solve 0 = -s + i*m - 3, -7*m = -12*m + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 9. Let r = 111 - 39. What is the least common multiple of z(24) and r?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogooogggggogg. What is prob of picking 2 g and 1 o?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 61. Let k = 58 + w. Calculate the greatest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 19 = -4*b - 3*r, 3*b + r = 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-30))\/(-7) - (-2)\/6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 5}. Give prob of picking 1 n and 1 o.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-35)\/(-90)*(27\/(-15))\/3?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4700 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 282 + -118. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115121?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24c102 (base 14) in base 12?\nAnswer: 50a6b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*d + 2*d + 13, 2*d - 2*o = 16. Factor -3*s**d + s**5 - 4*s**4 - 4*s**5 + 0*s**5 + 10*s**4.\nAnswer: -3*s**3*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*r**3 - 796*r**3 - 163*r**3 - 135*r**3.\nAnswer: -1137*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -40*h - 4. Let g be r(-3). Let s(k) = 3*k**3 - 87*k**2 + 17. Let d be s(29). Let l = g + d. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 73. What is the fourth smallest value in q, 0.7, -1\/8, -0.2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35.597 - -77.596. What is g rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) - -2*sqrt(91))*-5)\/((sqrt(378)\/sqrt(6) - sqrt(63)) + sqrt(63)))**2.\nAnswer: 3328\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**(-5\/6)*s))**22 assuming s is positive.\nAnswer: s**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**3 + 3*c**2 + 5*c. Let o(s) = 3*s - 3*s**3 - 240 + 2*s**2 + 240. What is -8*o(l) + 5*w(l)?\nAnswer: -l**3 - l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 3:00 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-6))\/(8\/(-2)). Let t be -3 + 0 + (1 - m) + 1. Is t equal to -16\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 701\/1896 + 86\/79. Calculate the common denominator of ((323360\/384)\/43)\/((-10)\/4) and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383829151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**6*m**2 + 952280*k**3*m**2 + 7*k**2*m**2 + 75*k**2 - 243*m**2 + m wrt k?\nAnswer: -600*k**3*m**2 + 5713680*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*a - 294*a = 351 + 1089. Solve 74*r = 84*r - a for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 16303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30\/1319 - -127283\/29018. Calculate the common denominator of g and 19\/216.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*i = 4*i + 3572, -2*p + 4*i - 3548 = 0. Find the common denominator of -65\/14 and (-14)\/(-63) - (-3)\/p*1293.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143\/56 + 17\/7. What is the common denominator of -65\/3 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**(2\/3)*v))\/(v\/(v*(v**(-3\/8)*v)\/v*v)))\/((v**2\/v)\/v*v**(2\/5))*(v**6*v)\/(v*v**0)*v**3*v**(2\/3) assuming v is positive.\nAnswer: v**(409\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/353077075 or 0?\nAnswer: 2\/353077075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-20))\/((-3)\/12). Let l = -0.03 + 1.43. Let a = -1 + l. Sort a, 0, s.\nAnswer: s, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1020 by -9276.\nAnswer: 85\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -30*k**4 + 6*k**3 + 6*k**2 - 31. Let t(p) = -30*p**4 + 5*p**3 + 5*p**2 - 31. Let a(z) = 5*j(z) - 6*t(z). Find the first derivative of a(c) wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 9228 - 5426. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190 - 167. Suppose -1080 = s*w - 50*w. Solve 0 = -14*k + 6*k + w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from iiizizziirriz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/9)\/((-6)\/9). Suppose n + 549 = 4*n - 2*o, a*o = -n + 183. Calculate the remainder when n is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -107*x**2 + 65*x + 45. Let q(j) = 38*j**2 - 22*j - 15. Let s(v) = -3*i(v) - 8*q(v). Let l(a) = -9*a**2 + 10*a + 8. Determine 11*l(b) + 6*s(b).\nAnswer: 3*b**2 - 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from kjjcwjmj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.35515 times 13?\nAnswer: 95.61695","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -304*n**3*t - 26456*n**3 + n**2*t - 2*n**2 + n + 71*t wrt t.\nAnswer: -304*n**3 + n**2 + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0*v - 4. Let i(l) = 3*l + v*l**2 + l**2 - 2 + 1. What is the remainder when i(-3) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o + 2 = 0. Let r = 10 + -10. Suppose 3*m = -5*s + 4*s - 5, 3*m + 15 = r. What is the highest common factor of o and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -13. What is the greatest common divisor of 10 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 + 15\/10. Suppose 4*z - 2804 = n*q, -2*q + 3505 = 5*z + 2*q. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -49 (b) -5\/3 (c) -0.45 (d) -0.2 (e) -11 (f) 1 (g) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 23\/((-1035)\/18) + 62\/5.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0*((-20)\/8)\/(-5))\/3. Suppose y + a*y = -2*h + 12, 6 = -3*y. Let t(b) = b**2 + 2*b - 2. Let o be t(2). Are h and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 35*t + 70. Calculate p(-32).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 131, 273, 461, 689?\nAnswer: 951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a2ec29 + -71?\nAnswer: -1a2ec9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -5005?\nAnswer: 5013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76458327?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i - i + 0*i - 12*i - 18*i + 12 + 7*i + (5*i - i - 2*i)*(4 + 2 - 4) + i + 2*i - 2*i - 3*i + 4 - 4.\nAnswer: -22*i + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 142 = 434. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2445118 divided by 188086\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6938684?\nAnswer: 2, 37, 173, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168988 and 19588?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4177931?\nAnswer: 4177931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -36. Let u(l) = i*l**2 + 10*l**2 - 4*l + 4*l. Let w(d) = -d - 4. Let q(r) = 2*r + 9. Let g(b) = 4*q(b) + 9*w(b). Calculate u(g(j)).\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -1373?\nAnswer: -21968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, h: 1, s: 1, k: 3, p: 5}. Give prob of picking 1 r and 1 h.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7*l - 5*o = -25, -o - 3 = 0. Let d(a) = -a + 8. Let h be d(l). Suppose 4*y + 0*y - 5*u = 55, 0 = y - 3*u - 19. Solve h*g - y = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0.02 (c) -0.05 (d) 2 (e) -5 (f) 1682\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (159\/477)\/(3\/135)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13127, -26309, -39491?\nAnswer: -52673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*s + 22. Let v = -9 + s. Let u be 0 - (-5 + 8) - -6. Solve -u*j - v - 13 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 - 1241\/10. Let r be 0 + 1 + 10\/(-8). Which is the nearest to 0.3? (a) r (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, 4, 6?\n\"Answer: 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5 and -84073422 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6136.\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -338 less than -79027934528?\nAnswer: -79027934190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44.9 - -41. Let t = -351002787.89999974 + 351002784. Let q = t - l. Round q to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94c85c (base 13) to base 16.\nAnswer: -35281a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1570.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from ghggvhjkjjzzjvhjjk.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5180291 divided by -304723.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 0*s**3 + 0*s - 1\/210*s**7 + 0*s**6 + 0*s**5 - 1\/24*s**4 + 0 - s**2. What is the second derivative of j(t) wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -146029 - -312320. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 11:19 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26981\/10 - 2694. Let r = -3087\/11 + 282. Find the common denominator of r and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 6*j**2 - j + 4. Let m be -4*((-9)\/(-6))\/3. Let n be ((-12)\/(-14))\/(m\/14). What are the prime factors of g(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1424\/14 - 2\/(-7). Let u be (-2540)\/(-25) - 0\/2. Let w = u - s. Which is the closest to 0? (a) -0.2 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3626, 3634, 3642, 3650, 3658, 3666?\nAnswer: 3674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 23. Is v(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 2\/7, 3, 13, 3\/11?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - c - 14. Let h(a) = a**3 + 8*a**2 - 2*a - 16. Let r = 39 - 47. Let w be h(r). What is t(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 16*h**2 - 82*h - 66. Calculate the least common multiple of u(10) and 612.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, u: 3, a: 2}. What is prob of sequence yay?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = 4. Let g(o) = 0*o - b - o + 4 + 4. Let u be g(-8). Solve 0 - u = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 84*u = -79*u - 27635, -22076 = -4*y + 4*u. List the prime factors of y.\nAnswer: 3, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 596?\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 20*j**2 - 14*j + 30. What are the prime factors of d(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6*v + 530. Let i = -362 + 324. Let k = v - i. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 4*v - 4*v + 3*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284 + 2*i**3 - 154 - 135 + 0*i**3.\nAnswer: 2*i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 324.2 + -324. Sort v, -13, -3 in ascending order.\nAnswer: -13, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 240.8.\nAnswer: -24.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*d = 8*d + 246 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 18*a - 2*t = -47*a + 18*a - 142, 0 = -6*a - 4*t + 208 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 258 and 9?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -3\/19 (c) 4 (d) 3\/66890\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(24)\/sqrt(8) + 4 + sqrt(3) + -3)**2.\nAnswer: 8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.04 times 87.893\nAnswer: 91.40872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuubvaz. Give prob of sequence uub.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215616469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5245 - 5242. Solve q*s = -8*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20665 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23443232 + -2?\nAnswer: 23443230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(-3 + 6*b + 3 + (3 - 5 - 1)*(-2*b - b - 14*b)) to t*b + z and give t.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 12*x**2 - 11*x + 28. Determine p(-10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 13. Let g be (12\/l + -1)*-2. What is the nearest to -2\/7 in -0.2, g, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54984\/5 + 10630. Let n = t - -371. Find the common denominator of n and 44\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -67 - -76) + -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14011, -28032, -42063, -56110, -70179?\nAnswer: -84276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -15*o + 1035276 + 1161165, -2*o - 2*n = -292850. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-52 + 24)\/((-1)\/(-2)). Let b(h) = 14*h**3 + 56*h**2 - 56. Let z(y) = -y**2 + 1. What is g*z(k) - b(k)?\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22358890 to the power of 1\/2, to the nearest integer?\nAnswer: 4729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 4*n - 2*n)*(-1 - 1 + 0) + (-15 + 3 + 64)*(-n + 0*n - 5*n) + (-1 + 4 - 2)*(-19 + 3*n + 19).\nAnswer: -307*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d = -72. Let b = -10 - d. Calculate the highest common factor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b + 0*b + 8*b + 0*b. Let d(c) = -4*c**2 + 3. Let v(w) = -5*w**2 + 4. Let i(z) = -4*d(z) + 3*v(z). What is i(r(u))?\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.23256\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(704)*3)**2 - sqrt(704)) + -4 + -2 + sqrt(704) + sqrt(704) + 3.\nAnswer: 8*sqrt(11) + 57021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*l**4 - 8*l**3*n**3 + 214*l*n**3 wrt l?\nAnswer: 204*l**2 - 48*l*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 3:31 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/5))**39*(x**(2\/9))**(3\/20))**(4\/15) assuming x is positive.\nAnswer: x**(1406\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/30 + l**2. Let c(i) be the third derivative of 53*i**4\/24 - 82*i**2 + 2*i. Calculate c(n(s)).\nAnswer: 106*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 2*c**2 - 3*c - 9. Let v be r(4). Let j = v - -58. Suppose 8*u = 35 + j. Solve 2*p + 3 = -7, 0 = -u*g - p - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4c27 (base 15) to base 2\nAnswer: -11111101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**3 - y**2 - 5*y + 9. Let l be j(2). Suppose l - 17 = -6*w. Is w <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z - 13*z + 2*z + 12*z**2 + z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485083 is divided by 1304.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4368 by -52.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 148\/518 - 2\/(-42)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4*2\/(-24))\/((-20)\/480). Let z(l) = -l**2 - 8*l + 9. Determine z(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -0.231, 5, -0.1?\nAnswer: -0.231","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 14 - 16 = 0. Let k = f + 5. Let u be (18\/24*4 - (-504)\/8)\/2. Calculate the highest common divisor of k and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298 + -295. Which is the third smallest value? (a) 1\/11 (b) -1 (c) -2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4308854 + 31?\nAnswer: -4308823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 30 = 3*j + j, -4*v = -j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1018106 + 76.049424\nAnswer: 1018182.049424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -7*m**2\/2 - 3*m - 4. Suppose -3*w = -0*w - 60. Calculate the remainder when w is divided by y(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.6 - -25. Sort -0.4, i, -4, 0.5 in ascending order.\nAnswer: -4, -0.4, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -22. Let m = -15633 - -15662. Solve -n = 2*z - 13, -2*z + i*z - m = -3*n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -34 + 7731*m - 7731*m - 8*m**2 + 101. Let d(v) = -2*v**2. What is x(d(t))?\nAnswer: -32*t**4 + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -2\/25 (c) 0.5 (d) 0 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*y = -n + 10, 5*y = 2*n + 15. Suppose -155 = -n*r - 2*b, -3*r + 124 = r - 3*b. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 3988*t - 4197*t + 4 - 5393*t as a*t + n and give a.\nAnswer: -13578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 235043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3e2d36 (base 15) to base 13\nAnswer: -80bc4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(6 + (1 - 14))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006664 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g = -14. Suppose -5*j + g = -4*b, -5*b - 2*j + 7*j - 10 = 0. Put b, -2, 0 in decreasing order.\nAnswer: 0, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -1 - (4 - 8). Suppose -7 = q*c + 1. Let u(b) = -23*b + 4. Let o be u(c). Round o to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.47 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -23 (b) 0 (c) 19.1 (d) -2 (e) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2278191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -8*w**4 + w**3\/3 + w**2\/2 + w + 6. What is the remainder when 85 is divided by z(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 44370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -1\/3 in decreasing order.\nAnswer: 2, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203903?\nAnswer: 7, 29129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -18. Let g = -34 - l. Let d = g + 17.2. Round d to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(833) + 0 + (-2*(sqrt(833) + 2) - sqrt(833)) + sqrt(833) + 6*5*(-1 + sqrt(833))*-2)**2.\nAnswer: -50386*sqrt(17) + 3103074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -32, 0, 2 in increasing order.\nAnswer: -32, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 18 = 6*b. Suppose 6 = 2*i - 3*i + 5*p, 5*i - 4*p = -b. Let o(t) = -5*t + 1. Let x(y) = y**2 - 11*y + 2. Let g(j) = 13*o(j) - 6*x(j). Give g(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.1 (c) -0.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4526 - 4518 - 28*n - 4523 + 8*n - 4504 + 18071.\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20957160246 and 5.16.\nAnswer: -20957160240.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 235, 570, 1035?\nAnswer: 1630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let y(p) = 4*p + 2. Let n(u) = 9*u + 5. Let w(j) = 2*n(j) - 5*y(j). Determine h(w(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/7 - 1012*x**4\/7 + 4072*x**3\/7 - 4080*x**2\/7 = 0. What is x?\nAnswer: -510, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1088) + sqrt(1088)*-1)**2 + 0) + (1 + sqrt(17) + 1 + 1 + sqrt(17))*1.\nAnswer: 3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 95, -2 in increasing order.\nAnswer: -4, -2, 6, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2. Let m(x) = 2384*x**2. Give m(a(t)).\nAnswer: 59600*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(147)*1 - sqrt(147)) + sqrt(147)).\nAnswer: 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + u**2 + 3*u - 5. What is l(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*x + 199*x - 394*x = -96581 + 9263 for x.\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 1)\/(-18) + (-146480)\/(-16479). Let b be 26\/5 - 3\/15. Solve 4*h = r*h - b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 15970383?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5172194816.\nAnswer: 2, 2579, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/1585419 and -151\/592680.\nAnswer: 63416760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1 - c + 0 - 11*c - 12*c. Let m be s(1). Let a = 8 - m. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1815974551561*n**2 + 10780648*n - 16 = 0. What is n?\nAnswer: 4\/1347581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 20 = 5*o, 3*q - 24*o + 25*o - 4 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Suppose -l = -u*l. Suppose l*x - x + 29 = 0. Calculate the remainder when x is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -658.11 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 2. Let u be -1*(-2)\/1 + 1. Solve -d - u = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 92*b**3 - 9*b - 6. Let v(k) = 183*k**3 - 19*k - 13. Determine -13*p(n) + 6*v(n).\nAnswer: -98*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 25. Sort -3\/2, f, -0.4, 6 in ascending order.\nAnswer: -3\/2, -0.4, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721820.\nAnswer: 2, 5, 11, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x. Let d(a) = 7*a**2 + 2. Let r(b) be the third derivative of 3*b**5\/2 + 9*b**3\/2 - 5*b**2. Let w(y) = 27*d(y) - 2*r(y). What is c(w(s))?\nAnswer: 81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 535 divided by -4\nAnswer: -535\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*t + 22. Suppose -4*p = 4*h + 4, -t*p - 1 = 5*h + 4. Sort 5, -4, h in decreasing order.\nAnswer: 5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2397069, -2397002, -2396927, -2396838, -2396729?\n\"Answer: u**3 - 2*u**2 + 66*u - 2397134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqoqqvqqovlqvqo. Give prob of picking 1 l and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 993\/4 + 2\/(-8) + 0. Let i = t - 56. Is i a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 4:10 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 + 2*o**2 - 7*o**2 + 3*o**2.\nAnswer: -5*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -8.7.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*b = -1856480 - 23892751 - 7148668. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17713769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1352 and 55\/8.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1113721.\nAnswer: 7, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 473143 divided by -1\nAnswer: -473143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**5\/15 - 5*o**4\/3 + 6*o**3 + 54*o**2 + 47*o - 2. Let x(h) be the first derivative of i(h). Factor x(n).\nAnswer: 4*(n - 9)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**3 + 2*v**2 + 2*v - 4. Let d = 10 + -7. Is u(d) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.81? (a) 5 (b) -4 (c) -205\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 8*j - 25 = 0. Suppose 3*y = 4*i + 29, -j + 0 = 5*i. Find the third derivative of -l**y - 10*l**2 + l**3 + 0*l**4 - 14*l**4 wrt l.\nAnswer: -336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 1. Let p(z) = z**3 - 63*z**2 + 122*z - 3. Let d be p(61). Let t(l) = -2*l - 2. Calculate d*g(u) - t(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*3 - ((sqrt(7) - sqrt(28)\/sqrt(4)) + -3))*-6)**2.\nAnswer: 6480*sqrt(7) + 227124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14974489888 - -14974496895.993959. Let m = -7008 + o. Let r = -0.006 - m. Round r to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 10:51 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529 + 83*a + 525 - 1575 + 521.\nAnswer: 83*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhah when four letters picked without replacement from aaaaahhhhaha.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*0.195.\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241, -168, 27, 404, 1023?\nAnswer: 1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 9. Let m be (20\/75)\/((36\/15)\/(-2)). Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-15))\/(4\/10). Calculate the remainder when -3 + (p - -3) - -82 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**2 + 2*y**2 - 2*y**2)*((2 - 5 + 2)*(3 + 2*y - 3) + (-3*y + 3*y + 2*y)*(0 + 1 - 2)) to the form p + x*y**2 + m*y + a*y**3 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*l**4 + 93*l**3 - 93*l**3 + (-281 - 241 + 439 - 2*l)*(-3*l + 3*l - 2*l**3).\nAnswer: -13*l**4 + 166*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or -6\/50357?\nAnswer: -6\/50357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/168 + 2\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55791, 55792, 55793, 55794?\nAnswer: 55795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 7 - 2 = 0, 44 = 4*s - 4*j. Let p(k) = k**2 - 9*k - 9. Let z be p(s). Let r = 78 - z. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let d be r(3). Suppose -j = 5, d*s - s - 2*j = 22. Solve -5*m - 11 = 4*o + s, -4*o + 2*m = 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 4:02 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-3 - (-6 - -7)) + 5 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1859 + 1862. Which is the closest to -2? (a) -25 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3933 and 6498?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90514*m - 22354*m**2 + 90514*m.\nAnswer: -22354*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**5\/5 + q**2 + 7*q - 6. Let j(o) be the first derivative of c(o). Differentiate j(z) with respect to z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 13*t**2 - 2*t + 4. Let p be n(-9). Let h be (2 - p\/(-4))*-4. Let q = -592 - h. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j. Let g(i) be the first derivative of 1\/2*i**2 - 2 + 0*i. Let f(y) = y + 2. Let h be f(-4). Give h*b(l) - 14*g(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, q: 2}. Give prob of picking 3 t.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + d**2 - 6*d**2)*(-3*d**2 - d**2 + 2*d**2)*((-4 + 0 - 2)*(-2 + 2 + 1) + 1 - 2 - 1).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27722\/2505 - 2\/30.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01861*2\nAnswer: 0.03722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-95)\/(-38))\/(10\/4). List the prime factors of 688\/y + (14 - 21).\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-10))\/((-38)\/95). Suppose -2*g - 6 = 0, -x*g = -3*b - 3 + 15. Find the second derivative of -b*u - u + 7*u + 5*u**2 wrt u.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -372\nAnswer: -5\/372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 5*l - 2*o, 11*l - 13*l + 2*o = -50. Let h be 51\/(-255) - l\/(-5). Solve -5*u = -h*v + 15, -12 = 4*u - 3*v + v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 8*j + 5. Let t be a(8). Let y = -312 - -312. Solve y*f = t*f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3658)\/(-177))\/((-284)\/(-426)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -172, -1541, -5260, -12505, -24452?\n\"Answer: -196*q**3 + q**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 10:53 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -1 + 7. Suppose 0 = -2*x + 2*v - 14, 4*v = -5*x + v - 11. Let d = x + 3. Put 5, a, d in ascending order.\nAnswer: d, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -2, -1, -3, -12, 3, -5 in descending order.\nAnswer: 3, -1, -2, -3, -5, -12, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in -12\/7, 0.5, -2\/13?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 17963688.\nAnswer: -1\/4490922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113394.\nAnswer: 2, 3, 18899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9227.01141 + 11.04741. Let c = -9199 - l. Let o = -0.036 - c. Which is greater: 1\/3 or o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, 5, -114.53, -0.1.\nAnswer: -114.53, -0.1, 0.3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -60980, 6049, -1 in ascending order.\nAnswer: -60980, -1, 6049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611*a - 273*a + 295*a.\nAnswer: 633*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 5*t - 5. Let g(u) = 7 - 3*u**2 + 5*u**2 + 0*u + 7*u + u**2. Let b(h) = 5*g(h) + 7*n(h). Let f(a) = 16*a**2. Give f(b(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - u**2 - 2*u - 2. Suppose -58*t + 19*t - 480 = 81*t. Let r(g) = -3*g**3 + 2*g**2 + 4*g + 5. Give t*r(l) - 10*x(l).\nAnswer: 2*l**3 + 2*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 35 + 5. Suppose 8*u - 39 = -j*u. Solve 3 = -4*v + t, -4 = 4*v + u*t + 19 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 4:33 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 46*l + 527. Give y(-16).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -309746 + 4\nAnswer: -309742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 290 = 6*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 - 25. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1856 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104*b**2*o**3*y + 3767*b**2*o - 271*b*o**3*y**3 + b*o**2*y**3 - 19*o**2*y wrt o?\nAnswer: 624*b**2*y - 1626*b*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -33*f + 34*f. What is the highest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**2*d**2*s**3 + 2*a**2*d**2*s**2 - 635*a**2*d*s**2 + 793*a**2*s**3 - a*s**2 wrt s?\nAnswer: 12*a**2*d**2 + 4758*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.86884mg in tonnes?\nAnswer: 0.00000007386884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 352660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.949 - -0.049. Let i = 3 + m. Let u = -0.10017 + i. What is u rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 + 1648*p**3 + 230040*p**2 + 11372400*p + 68890500.\nAnswer: 4*(p + 7)*(p + 135)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 284, 146, -322, -1312, -3016, -5626?\n\"Answer: -32*q**3 + 27*q**2 + 5*q + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69878 - -50441. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9828221 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -97 (b) -4 (c) -1\/3 (d) 0.2 (e) 5 (f) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 10, 0, 22, -3 in decreasing order.\nAnswer: 22, 10, 0, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -306 + 592. Let z = -177 + k. Is z a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/9))\/r**(7\/6))\/(r**(-1\/4))**31 assuming r is positive.\nAnswer: r**(281\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16038?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356038 is divided by 687.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1\/2 (b) -0.02 (c) 3\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -1\/6, 1, 2, 8091?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in 3\/2, 9337, 1, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -213 - -273. Let h = l + -59.6. What is the third biggest value in h, -25, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87081 is divided by 2721?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1202.7 + 1203. Which is the nearest to 4.09? (a) 0.2 (b) 0.5 (c) j (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-35)*p**(-16))\/(p\/((((p\/(p*p**(-11\/6)))\/p)\/p)\/p)*p*p*p**(-31)*p*p*p) assuming p is positive.\nAnswer: p**(-163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 266?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -2 + 21\/(-3). Does 16 divide n\/45 - 542\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4 + 4112*o**3 - 409444*o**2 - 847752*o + 1253088 = 0. Calculate o.\nAnswer: -3, 1, 114, 916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/((-15)\/(-18)) + -3. Let a(n) = 2*n - n**h - 65 + 5*n**2 + 0*n**2 + 64. Give a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -356.000397 - -356. What is t rounded to 5 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, b: 2, h: 1, i: 1, d: 1, p: 1}. What is prob of picking 1 p, 1 b, and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -140*k**2 + 789*k + 2. Let x(y) = 2*y. Determine x(l(n)).\nAnswer: -280*n**2 + 1578*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.015 * -23861\nAnswer: -357.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 2*k - 11. Let l be a(-3). Let s be ((-6)\/l)\/((-6)\/20). Let c(z) = z**2 - 7*z + 4. Calculate c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8198 + 15877 = 668*u - 3753 - 6908 for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16 + 10)*(-5 - 0). Differentiate 20*u - 35*u - 41*u**2 + z + 15*u with respect to u.\nAnswer: -82*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -4. Suppose 0*n - 11 = -5*t + 3*n, 0 = 5*t + n - j. Let f be (6\/t)\/(2\/8). Solve 0 = q + 2*q - f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -2\/17, -2\/93, -5, -2\/63?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.4 (c) 0.3 (d) 2 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36213882?\nAnswer: 2, 3, 6035647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102415 (base 6) to base 2.\nAnswer: -10000010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14849633*m**3 + 281600463*m wrt m.\nAnswer: 89097798*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:29 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/4, -40578 in increasing order.\nAnswer: -40578, -3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1276*k - 321*k - 7176 = 260*k + 396*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) -66.2 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 5 + 13)*(46*l - 49*l - 2*l**4 + l**4).\nAnswer: 9*l**4 + 27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 51*l**3 + 3.\nAnswer: -51*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*x - 112*x - 37336 = -2*j, 2*j - 5*x - 37328 = 0. What is the thousands digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 618 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -66204354 divided by -11034059\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**2 + 819*b**3 + 3667*b**3 + 792 + 492*b**3 + 98*b + 3*b**2 - 791 wrt b.\nAnswer: 29868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 12. Let j be t(8). Let d = -1 - j. What are the prime factors of 20\/6 - (-2)\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 238\/3. Which is the closest to 2? (a) -5 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 11*n**2 - 36*n - 27. Let x(j) = 5*j**2 - 18*j - 13. Let d(i) = -6*t(i) + 13*x(i). Let s be d(-7). Calculate the greatest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(2\/5)*n)*n**0*n*n*n**(2\/11)*n*((n*n**(-6))\/n)\/n)\/(n**(-3)\/n**(-4\/5))**(4\/3) assuming n is positive.\nAnswer: n**(-377\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2264, 9147, 20648, 36767?\nAnswer: 57504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 22324?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 e when three letters picked without replacement from {c: 6, e: 1, r: 11}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -36 - (-1776)\/37 - 11\/((-3)\/(-3)). Let d = 71 - 0. What is the greatest common factor of l and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -17. What is the greatest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 6*j + 10. Let c be k(8). Let a(u) = u + 5. Let b be a(c). Are 1.6 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(1\/2 - 0). Is k not equal to -1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49339, -98730, -148141, -197572, -247023?\nAnswer: -296494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7 - 2 = 0. Let l(m) = 0*m**2 - 8*m**2 + c*m**2 + m**2. Let j(n) be the first derivative of -8*n**3\/3 + 44. Calculate j(l(g)).\nAnswer: -128*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 39*f + 22. Let s be g(-20). Suppose -2*j = -13 - 21. Let c = j + s. Solve c = -3*n + 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.62544 to 1 decimal place.\nAnswer: -33.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 12*f**3 + 37*f**2 - 60*f - 181. Let v(c) = -3*c**3 - 9*c**2 + 15*c + 45. Let j(z) = 2*s(z) + 9*v(z). What are the prime factors of j(-8)?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-13 - (14 - 52)). Is r bigger than -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 12*s - 65. What is u(-7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 1, w: 12, f: 3, z: 1}. What is prob of sequence ww?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66\/325 or 1?\nAnswer: -66\/325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.1 - -16. Which is greater: s or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 516072 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 400 - 184. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**5 - 113*k**4 - 97*k**2?\nAnswer: -120*k**2 - 2712*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2216, 2166, 2046, 1826, 1476?\nAnswer: 966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 120, 133, 146?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -39 times 0.02\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 12. Suppose 10 = 2*l + 3*l. Suppose l*b = -6, -b + 119 = r*c + b. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b + 48. What is n(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-15)\/t)*t)**(-35) assuming t is positive.\nAnswer: t**(-630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 403.49 rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -30*i**3 + 12*i**2 - 5*i - 24. Let d be x(-5). Suppose 5*g = w + d, -3*g - w + 2425 = 4*w. What is the highest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3368.342 - 3328.1. Let j = -203.2 - -244. Let u = j - p. Round u to two decimal places.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*g**3 + 22*g**3 + 5*g**3.\nAnswer: 308*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6247883, 6247889, 6247895, 6247901?\n\"Answer: 6*g + 6247877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 117985027684083\/14390 - 8199098528. Let n = 1\/1439 + p. Calculate the common denominator of n and (3\/(-20))\/(6\/28).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 11.9. Let f = 0.1 + b. What is the second biggest value in f, 7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 119*b - 112*b. Is 271988\/b - (-20)\/(-80) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - b = 355, -3*d - 2*b = 3*b + 1061. Let y be d\/39 + (-28)\/(-182). Sort 0.1, -4, y in decreasing order.\nAnswer: 0.1, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8664\/30 + -1 + 1\/5. Suppose -t = 13*r + 89. Is r at most -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - t - 3)*(t + 2 - 2)*(-3 + 3 - t)*((-3 + 1 + 1)*(0 + 2 - 1) - 3 + 4 - 3 + (-36 + 10 + 12)*(1 + 3 - 1)) to c*t**2 + f*t + u + y*t**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3043 and 35850120.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5495, -11239, -16983, -22727, -28471, -34215?\n\"Answer: -5744*u + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 346622477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/3 at most as big as 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n + 5*t - 23, 4 = 4*n - 2*t. Let l(z) = -z**3 - n - 2*z + 2*z**2 - 2*z + 2 - 7*z**2. Let o(c) = c + 4. Let h be o(-7). Give l(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 1326*a.\nAnswer: 2*a*(a - 663)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17599 is divided by 3835?\nAnswer: 2259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 12. Let l be o(10). Suppose -l*v = -4*z + 36, 3*z + 1 = -2*v + 21. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -3) + 0 + 0 - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8875 divided by 4.\nAnswer: 8875\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 39 - 40 - 26 - 22*i + 5*i - i**2.\nAnswer: -i**2 - 17*i - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 142*s**4 - 179?\nAnswer: 568*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 16 = 61. Let o = -117 - -113. Which is the second smallest value? (a) r (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 11*q + 20. Is l(-7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(-1\/9)\/i)\/i))**(-3\/10)\/((i*i\/(i*i**(-2\/3)))\/i)**(-36) assuming i is positive.\nAnswer: i**(346\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9e5 - -84?\nAnswer: a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/2, 1\/10, -4\/125, -14\/43 in increasing order.\nAnswer: -9\/2, -14\/43, -4\/125, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7 = -12. Put -3, 12, j in decreasing order.\nAnswer: 12, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d + d. Solve d = -3*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 183*s**2 - 192*s - 372.\nAnswer: 3*(s - 2)*(s + 1)*(s + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 15343 = x + 6196, i + 27441 = 3*x. List the prime factors of x.\nAnswer: 3, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -983, -1455, -2241, -3341, -4755, -6483?\nAnswer: -8525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 319117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 22347.69659?\nAnswer: -22352.69659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*u**4\/3 - 28952*u**3\/3 + 590158*u**2 - 7265016*u - 27364392 = 0. Calculate u.\nAnswer: -349, -3, 198\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-3)\/(-2))*-2. Suppose 0 = u*n - 6*n - 39. Let x = -13 - n. Solve x*d = -4*d - 4*q + 8, 2 = -4*d - 2*q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 173*h**2 - 1 - 175*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((4686\/44)\/(-71))\/(3\/1))\/(284\/(-16))\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/5 and 17\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155 - 144. Let v(p) = 796*p**2 - a*p - 9 - 797*p**2 - 3. Calculate v(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-4)\/(-15))*-4. Let c = 103\/7 - l. What is the second biggest value in c, -0.3, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-6\/7))\/j**(7\/6)*j*j**10\/j*j*(((j\/(j\/(j*((j\/j**(-36))\/j)\/j*j)))\/j)\/j)\/j assuming j is positive.\nAnswer: j**(1919\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 3. Let g be p(-5). Suppose g*x = 6 - 54. Let t(v) = -v**3 - 3*v**2 - 8*v - 20. What are the prime factors of t(x)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1540\/5837?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - 3*r - 31, -12 = -2*o + r. Suppose 3*n + 0*n - 21 = -o*x, -2*n - 8 = -4*x. Find the third derivative of -46*u - 6*u**4 - 2*u**n + 46*u wrt u.\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 10*a**2 + 6*a - 9*a**2 - 2*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zoo. Give prob of sequence ooz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011212020010 (base 3) in base 10?\nAnswer: 1689987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 9:19 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -579, -577, -567, -543, -499, -429, -327?\n\"Answer: a**3 - 2*a**2 + a - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h. Suppose h = 2*r - 3*r - 4. Let j = r - -6. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79687591*a**2 - 249178956 wrt a.\nAnswer: 159375182*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqmqquqqquqqqumqrfr. Give prob of sequence uuf.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - i**2 + i + 60. Let m be c(0). Let f(p) = p**3 - 3*p**2 - 4*p. Let j be f(-3). Let y = m + j. Calculate the highest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 0. Suppose -4*a = -5*f + 41, -a - 12 = -3*a - 4*f. Let u = q - a. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9322 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, i: 3}. What is prob of sequence io?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2661000*b. Let i(c) = 3*c. Calculate x(i(j)).\nAnswer: 7983000*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, 0.14, 10, -6.468?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -11. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 9*v = 18. Suppose -5*u = -v*p + 6*p + 6, -u - 2 = 0. Calculate the remainder when 32 is divided by (117\/7)\/p - (-6)\/21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/5)\/((-10)\/(-25)). Let z = q - 12. Let j(d) = -132*d**2 - 137*d**z + 264*d**2. Let s(o) = 9*o. Give j(s(n)).\nAnswer: -405*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23974351 is divided by 7427?\nAnswer: 7422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 5. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -74551.\nAnswer: -3\/74551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -364*d - d**3 + 10*d**2 - 8*d**2 - 49 - 2*d**2 + 36 in the form b*d**2 + f*d**3 + h + j*d and give j.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 6*g - 6. Let o be u(-4). Suppose -2*d = -4 - o. Solve 0 = 3*a + 3*s + 6, 3 = a - d*s - s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 9:50 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*2*(4 - 9). Let v = -11 - f. Sort v, -5, -0.5 in increasing order.\nAnswer: -5, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6319558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 21 + 1 + 0 + 1 + 11\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/33)*l**(17\/5))**(-5\/14) assuming l is positive.\nAnswer: l**(-368\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15125 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: Rearrange -5 + 11 - 603*z - 5 + 86*z - 332*z to o*z + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 304762074 and -4.\nAnswer: 304762070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105 + 91. Is (-11001)\/(-17) - o\/(-595)*5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*k**2 - 4 - 4*k - 149*k**2 + 73*k**2 to c*k + y*k**2 + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1224327 by 3.\nAnswer: -408109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2. Let f(v) = 2*v**2. Calculate f(z(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647233.\nAnswer: 617, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 10100000122212?\nAnswer: 10100000122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17092051.327628 - -0.3?\nAnswer: 17092051.627628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 260 + -78. What are the prime factors of c\/42 - 4\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*m = 204, -2*r + 3*m = -r - 80. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004352 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 0)*(-q - 1 + 1) - 25 + 6*q + 25)*(-2 + 0 + 0)*(9 + 13 - 10).\nAnswer: -168*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -0.029269645.\nAnswer: -3.029269645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111000010 - -10011?\nAnswer: -1010110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 21 and -16058 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 247, 703, 1527, 2827, 4711, 7287, 10663?\nAnswer: 14947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5575284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2848344 is divided by 1210.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-88)\/(-66)*(-1)\/(-10).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j - 40*j - 24*j - 68*j - 1 - 10*j.\nAnswer: -132*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 + 17.19. Let o = s - 17.000001. What is o rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -993 or -100191\/101?\nAnswer: -993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -1336 (c) 0.4 (d) 0.061 (e) 0.2 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-12 - (-17 - 5)) + (-3 - 1) + -35?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139\/8 + -1271\/72. Let m = 131\/342 + k. Let p = -4.6 - -5. Put p, -0.2, m in increasing order.\nAnswer: -0.2, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 529020.081 to the nearest 100.\nAnswer: 529000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -526*h**2 - 66*h + 4. Calculate z(2).\nAnswer: -2232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/530 and -52\/10900351?\nAnswer: 109003510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1035163 to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 912795 - 97795 = 0. Round j to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 17. Let o(c) = 1. Let v(g) = -g - 5. Let z(q) = 6*o(q) - v(q). Let d be z(-4). Is 8 a factor of m(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3442 - 3442. Let t = 0.1 + 0.4. Which is the nearest to f? (a) -5 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**2 + 2*j**2 + 3*j**2)*(j - 2*j - j) + j - j + 2*j**3 - 1 + 51*j**3 - 3*j + 2 - 47*j**3.\nAnswer: 8*j**3 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.4751 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Suppose i*y - 49 = 21. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7 - 4*m**2 + 0*m + m - 2*m + m**3. Let l be 2*15\/(-6)*-1. Calculate the remainder when 24 is divided by s(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**2 - b - 6. Let r(k) = -10*k**2 + 14*k**2 - 2 + 6 + 5 - 4. Determine 2*g(x) + 3*r(x).\nAnswer: 2*x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 1 = -3*d, -v - 1 = -d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8599.73 + -8483. Let a = m - 2.03. Let n = a + -108. Round n to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and -4*3*(-28)\/21?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27064 is divided by 5349?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 2. Suppose -65*x = -18 - 112. Let w be 2\/8 + (-6)\/(-8). Sort a, x, w in decreasing order.\nAnswer: x, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 391*z - 598. Let n(w) = 2*w - 2. Calculate 6*c(a) - 1794*n(a).\nAnswer: -1242*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -46. Let m be (24\/9)\/((-6)\/x). Solve -21 - 11 = -4*d - m*g, -5*g = d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5 = 2. Let n be (-4)\/(1\/f) + -1. Suppose 20 = h + m, -2*m - 2*m + 56 = n*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169*m**2 - 172*m**2 - 3 + 16*m - 2*m)*(4*m**2 + 0*m**2 - 2*m**2).\nAnswer: -6*m**4 + 28*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3776400 rounded to the nearest ten thousand?\nAnswer: 3780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 2. Suppose -4*w + 210 = -2*d - 100, -w - 2*d = -65. Let o = w - 84. Calculate h(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*q**2 + 12*q - 12*q)*(0*q + 2*q + 0*q) in the form w + f*q**2 + l*q + n*q**3 and give n.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6\/5)*u**(1\/19)\/u*u*u*u\/u**(-1\/5)*u*u**(-11\/4)*u)**(4\/29) assuming u is positive.\nAnswer: u**(23\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 582412237.9 to the nearest 10000.\nAnswer: 582410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (67 - -29) + 4*2. Calculate the greatest common factor of 104 and p.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 3) in base 8?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3443 + -3438. Solve 4*u + 0 = b*x + 11, u + 7 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15216573 (base 9) in base 13?\nAnswer: 17505cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 9*o**2 + 7*o - 2. Let b(w) = 2*w - 12. Let m be b(10). Calculate r(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {w: 3, h: 5, v: 7, p: 1, g: 2, c: 2}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.585191241978 and -121?\nAnswer: 121.585191241978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 6*w = -222. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h - 24. Let t be (4 - (4 + -5))*12\/5. Is 6 a factor of u(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/36 - 833\/84?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -k - 2*m, 189 = 3*k - m - 0*m. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1555552 (base 6) in base 7?\nAnswer: -536015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 255*y - 778*y + 280*y + 238*y**2 + 246*y. Let o(d) = -3*d. Calculate j(o(q)).\nAnswer: 2142*q**2 - 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - 2*q**2 + 2*q. Let g = 201 - 116. What is the remainder when g is divided by v(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/5*(-52)\/234*60\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3324.539 millilitres in litres?\nAnswer: 3.324539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 1202 = -670. What is the remainder when q is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (846\/705*25\/9)\/(-2)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 148 = 3*j + 2*j, -2*j = 4*g - 68. Suppose j = 5*t - 3*t. Calculate the remainder when t is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 8*x - 4*x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38680 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -1\/3, 9 in descending order.\nAnswer: 9, -1\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*h + 12 = 140*h. Find the second derivative of -104*x + 241*x**h - 123*x**3 - 118*x**3 - 29*x**5 wrt x.\nAnswer: -580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 7*t**2 - 5*t + 8. Let c be o(-6). Let z(s) = -3*s**3 + 0*s**2 - 1 - s**c + 2*s**3 + 9*s**2. Let j be z(8). Are j and -2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at most as big as -0.28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 22*t + 27. What is the tens digit of j(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4870 = -0*m. Let d(n) = 568*n + 7. Let z be d(-1). Let c = m + z. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/805 and -91\/45.\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*k - 36 = -53*k, -4*k = 125*b - k + 679 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.45 + -7.55. What is the closest to z in -2\/5, 0.1, 59?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. Let u(x) = -2*x - q*x + 3*x + 5*x. Let j(t) = t**2. What is j(u(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 5. Let t = 6280 + -6276. Let i be -1 - 1 - -1 - 2. Put h, t, i in descending order.\nAnswer: h, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -6.6. Let y = -3.77 + t. Round y to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 5\/14?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Let m(v) = 7*v - 19. Let l be m(2). Let w be l - 234\/(-30) - 1\/(-5). Solve 0 = 2*g - r*g + w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -10*x. Let c(n) = -70*n**2. What is s(c(o))?\nAnswer: 700*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 194 + 136. Let y = 489 - l. Does 53 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -96*c**3 + c**2 - 2*c. Let f(a) = a. Give 2*f(b) + q(b).\nAnswer: -96*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -6\/451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1016 divided by 8\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*p + 4*d, 0 = 13*d + 28 + 89 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 24*o - 64. Let t(v) = v**3 + 5*v**2 + v - 8. Let n be t(-3). Calculate r(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - 5. Let h = -18 - d. Let g = -0.1 - 0.08. Is g equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n - 5*r = 101, -n - r = -61. Let m be (3\/(-2))\/((-87)\/9512). Let p = m - 144. Calculate the remainder when n is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14366933401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 174.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (-36)\/10 + 134404\/(-10). Round c to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**6\/6 + m**5\/10 - m**3\/6 + 77*m**2\/2 - 4*m - 18. Find the second derivative of v(r) wrt r.\nAnswer: 60*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.03415145 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(343))*2 - sqrt(343))**2.\nAnswer: 140*sqrt(7) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -2*x + 20, -6757 + 3410 = 5*x + 4*p - 3388 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -16*m - 18. Let u = -28 - -24. Let w be 58\/(-8) + u\/(-48)*3. List the prime factors of a(w).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 148 = 2*n - 164, -3*b + 18 = n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 35?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g - 105990 = -1308466. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 7 - t - t + 3*t.\nAnswer: t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1048484531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 107*n - 111*n + 16. Solve 0 = 3*a - n*m + 8 - 5, 2*a + 9 = 5*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4259, 4240, 4221, 4202, 4183?\n\"Answer: -19*o + 4278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q + 7*q + 9*q - 7 + q to the form a*q + b and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1756017537?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11864\/21 + -552. Which is smaller: k or 13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6945, -13872, -20783, -27678, -34557, -41420?\nAnswer: -48267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.25 + 0.25. Which is the smallest value? (a) 7\/3 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 7. Suppose -3*y + c = -0. Let j(u) = y*u + 3 + 1 - u**2 - 3*u. What is j(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*n = 21 + 16, -3 = 3*n. Let v = 22 - 15. Suppose -4*r + 20 = 4*y, -3*r + 3*y = -v*r + 25. Calculate the highest common divisor of r and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 18*a**2 - 6*a + 20. Let i be f(4). Let t = i - 120. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 88642929283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 48.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 + 52 + (235391 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = d + 2*d - 78, 3*j = -5*d + 50. Suppose 0 = 5*h + j, 5*c = -0*c - 5*h - 565. Let v = -64 - c. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.969023 rounded to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 23*u + 27 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(-24)\/90*3. Suppose 0 = -s*b + 11*b - 21. Calculate the remainder when 111 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 2*c - 2*c + (5 - 2 - 5)*(-9*c**3 + 17*c - 17*c) + 2*c**3 - 3*c**2 + 3*c**2.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 194 - 117. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210403?\nAnswer: 210403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) 1 (c) -1 (d) -8 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**5\/3 + 541*s**4\/6 + 72*s**3 - 15*s**2 + 23*s. Find x such that k(x) = 0.\nAnswer: -108, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 5*b**2 - b - 4. Let j be (0 - -6)\/((-3)\/(-2)). Let h be n(j). Is 5 a factor of 60\/h*(-36)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, k: 1, e: 3}. Give prob of picking 1 e and 1 d.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13544, -26510, -39476, -52442, -65408?\nAnswer: -78374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -68 less than 0.072?\nAnswer: 68.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1258*f + 1550*f + 12556 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jghjzghka. What is prob of sequence gz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 63477\/162 - 1\/(-6). Solve -16*d + o = -65*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -821*t - 166*t**5 + 732*t**5 + 567*t**5 wrt t?\nAnswer: 22660*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i - 6. Let j be m(7). Let c = 11 - j. Let q = c - -458. What is the greatest common factor of 45 and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2222 + 131032221?\nAnswer: 131023333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46945 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from hvmhe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3)*(7 + (-9 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*t - 5 = -92*t, 3*p + 25 + 2 = -3*t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = -2*g - 5*w, 4*w + 16 = 0. Let s = 5 + -3. Let j(m) = 2 + 3*m + 6 + s. Let z(v) = 2*v + 7. What is g*z(x) - 5*j(x)?\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 6*v**2 - 8*v + 9. Let h be x(7). Let z(o) = -4*o**2 + 4*o**2 - h*o**2. Let s(p) = 0 + 0 - p. Calculate z(s(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -s + 11, -2*j = 5*s - 19 - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1150173731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -381175 (base 9) to base 3.\nAnswer: -102201012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -971733 >= -971926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10c8ac (base 16) to base 7.\nAnswer: 12230563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2741399 is divided by 112.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, d: 2, i: 2, n: 4}. What is prob of sequence idyi?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/27 or -6937.327?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1951\/10 - 191. Let l = -640\/9 - -70. What is the common denominator of s and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2 - 83*d + 2. Let y be n(-27). Which is smaller: y or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.4, 1, -1\/3, 5, -30463, -2, 17?\nAnswer: -30463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(1\/7)*t*t)\/t*t*t*t*t*t*t**3)\/(t**4*t*t**8) assuming t is positive.\nAnswer: t**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r + 869 = -74*r + 12*r. Let o(h) = -6*h**3 - 2*h**2 - 2*h. Let z(b) = -31*b**3 - 11*b**2 - 10*b + 1. Determine r*o(m) + 2*z(m).\nAnswer: 4*m**3 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 13, s: 3, h: 4}. Give prob of sequence dd.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 0.18 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27266, -108982, -245168, -435830, -680974, -980606, -1334732, -1743358?\n\"Answer: -p**3 - 27229*p**2 - 22*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 5*t + 4. Let i be (0 - 1) + 12*10\/(-40). Let h(a) = 4*a - 3. Determine i*n(j) - 5*h(j).\nAnswer: -4*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 21*p = -260. Solve 0 = -6*v + 11 + p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 33*i - 34 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 71200 divided by 1424\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 519 = 2*d + 1645, 3*d + 3232 = -2*q. Let x be (1*-115)\/(3\/d). Round x to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -10, -2*p = -7*p - w - 3. What is the nearest to -1 in p, -2\/3, -2\/17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 36 = -9*d + 4*d, 3*o = 3*d + 30. Let p be 10\/5*9 - 0. Let m = p - o. Solve m - 29 = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23091000 rounded to the nearest one hundred thousand?\nAnswer: 23100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(8) + sqrt(16)\/sqrt(2))*-5)**2 + (1*(-2*sqrt(13))**2 - 4*(sqrt(13) - sqrt(13)*-1)).\nAnswer: -8*sqrt(13) + 533\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3880 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 368482 - -6565?\nAnswer: 376157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 618 = 2*v + 3*a, 0 = -5*v + 5*a + 450. Calculate the remainder when 164 is divided by v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -54, 10, -23306 in decreasing order.\nAnswer: 10, 5, -54, -23306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/(-6) + 2)\/1. Let n = 6 + -6.1. Which is the nearest to 0.1? (a) 5 (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) -4 (c) 2 (d) 24\/289\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*v - 9, -q + 2*q = -5*v + 26. Let b(p) = -p**3 + 6*p**2 - 3*p - 6. Suppose 0*r = r - 11. What is the remainder when r is divided by b(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 981838 = 16*u + 10*u. Is (u\/(-66))\/(3\/(-18)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**4 + 4*f**4 - f - 2*f**3 - 4*f**4 as p*f**4 + y*f**3 + b + m*f + g*f**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 - z**4 + z**4 + (-1 - z + 1)*(7*z**3 + 0 + 0).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((133\/28)\/19)\/(3\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -7. Calculate the remainder when v is divided by (-1 + 4\/12)\/(1\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 2*z**2 - 4. Let j be d(-3). What is the derivative of 7 + 5 - 22*y**2 + j - 19 wrt y?\nAnswer: -44*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 24*v**4\/5 + 22*v**3 - 1326*v**2 - 3040*v - 3384\/5 = 0.\nAnswer: -18, -2, -1\/4, 47\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwkx when four letters picked without replacement from {x: 4, j: 1, w: 3, h: 2, k: 6}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -340 + 19. Let t = k - -900. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, j: 13}. Give prob of picking 3 c.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 115*u**2 - 149*u - 3844. Calculate g(-116).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 + 5*h**3 - 2*h**2 - 2*h**2)*(117*h - 48*h - 44*h) in the form u + y*h**4 + p*h + m*h**2 + l*h**3 and give l.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + q - 285 = 3*q, 2*g - 114 = -2*q. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5650 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l + 284. Let g = l + -44. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.14 - 0.54. Let y = -4.90537 + -0.09463. What is the third smallest value in 4, y, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 330 - 170. What is the greatest common factor of 64 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**3 - 4191*n**2 + 29376*n - 41980 = 0.\nAnswer: -4198, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - h + h + 0 + 0 + (5 - 5 + h)*(1 + 2 - 2) + (h + 1 - 1)*(-150 + 405 - 120 + 357) in the form r*h + a and give r.\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 46, -0.2, 4, 3.4 in decreasing order.\nAnswer: 46, 4, 3.4, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0 = 3, -3*b - 3 = -3*a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) -4 (c) 0.2 (d) -2 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -13672481?\nAnswer: -13672481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 - 72\/(-7). Suppose c = 3*c + j. Let t(z) = -z**2 - 9*z - 6. Is t(c) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 7. Let b be y(-8). Put b, -2, 2, -1 in descending order.\nAnswer: 2, b, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**5\/3 + 484*k**4\/9 - 1348*k**3\/9 + 1196*k**2\/9 - 344*k\/9 = 0. Calculate k.\nAnswer: -43, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)\/sqrt(6)*2)**2 - (-1 + sqrt(19) + sqrt(171)) - ((sqrt(114)*2 - sqrt(114))\/sqrt(6) + (sqrt(228) + sqrt(228)*1)\/sqrt(12)))*1.\nAnswer: -7*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 7 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4516 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i + 24. Let r be d(-4). Sort r, 1, -3, -4 in ascending order.\nAnswer: -4, -3, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-4 - (0 - (-2 - -5)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -124930, -248671, -372412, -496153, -619894?\n\"Answer: -123741*a - 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303688742?\nAnswer: 2, 7, 19, 509, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, v: 2, u: 4}. What is prob of sequence vv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, -12, 3 in decreasing order.\nAnswer: 10, 3, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3\/w*w\/(w\/(w*w\/(w*w**(-6))))*w**(-1\/8)*w\/(w**3\/w) assuming w is positive.\nAnswer: w**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-148)\/333)\/((-92)\/18).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -384*p**2 - 88*p**2 - 149*p**2 + (0 + 2*p**2 + 0)*(2 - 4 + 0) + 5*p**2 - p**2 - 3*p**2 in the form s*p + q*p**2 + c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409289 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -341402 * 13\nAnswer: -4438226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*h, 117*u = 120*u - 2*h - 133. Suppose -2*y = -3*y - 35. Let c = u + y. Solve -s - s = -c, 0 = -v + 3*s - 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305753785?\nAnswer: 5, 61150757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)*w*((w*w*w*w*w\/w**(-1\/4)*w)\/w)\/w)\/(w**(-2\/7)\/w)**47*((w**(3\/4)*w)\/w**1)**(21\/4) assuming w is positive.\nAnswer: w**(39097\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) 0.2 (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.22 (b) 1 (c) 2\/15 (d) 4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*z + 4*z + 185 = 0, -z - 235 = 4*h. Let t be 6\/4 + 21*2\/h. Let i = -137\/3 + 45. Put -3.9, i, t in ascending order.\nAnswer: -3.9, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -33. Let s(f) = -15*f - 17. Calculate the remainder when s(-5) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/6)\/((-1)\/4). Let n = x - 5. Let u(k) be the first derivative of k**4\/4 + 2*k**3\/3 - k**2 + 2*k + 679. Calculate u(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2736) + 0 - sqrt(2736)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2611755 and 3192145?\nAnswer: 28729305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427863 = -4897*d + 129146 for d.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (6 + 5 + -1 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -141*c**3 + 5*c + 5. Let q(t) = 4088*t**3 - 146*t - 146. Calculate -146*a(m) - 5*q(m).\nAnswer: 146*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -38, -192 in descending order.\nAnswer: 4, -2, -38, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 6)*(-2*j**4 + 2*j**5 + 3*j**4 + 0*j**4).\nAnswer: -4*j**5 - 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3\/13 + 53930*h**2\/13 + 30210372*h\/13 = 0.\nAnswer: -549, 0, 27514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -295, -260, -201, -118?\n\"Answer: 12*d**2 - d - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3811020 is divided by 1270307.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 - 5*10\/(-5). Let s be (-54)\/(-10) + 50\/(-125) - i. Factor 2\/5 - 2\/5*w**s - 2\/5*w + 2\/5*w**3.\nAnswer: 2*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 10*g - 5. Give n(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*a**3*b**3 - 68*a**2*b**2 - 4*a**2 + 1415*a*b + 5*b**3 wrt a?\nAnswer: -186*a*b**3 - 136*b**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p*q**3 + p*q**2 - 119191*p*q - 9*p - 544722*q**2 wrt q.\nAnswer: 12*p*q + 2*p - 1089444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -13240 + 13243. Put l, -0.2, 0.07, -0.019 in descending order.\nAnswer: 0.07, -0.019, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5448009, -5448008, -5448007, -5448006?\n\"Answer: j - 5448010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**5\/40 + n**4\/8 + 3*n**3\/2 + 1388*n. Factor a(s).\nAnswer: -s*(s - 6)*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4923937 - 3057698. Let z = m - 3876239. What is z rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 15 = -11*c. Suppose 0 = c*z - 12*z - 75. Solve 3*a + 13 = 4*k, 6*a + 5*k = a + z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -575 less than -476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51989987 * 0.5.\nAnswer: 25994993.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 203, 300, 395, 488, 579?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.138 * -488.\nAnswer: 67.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 345 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -328, -802, -1476, -2356, -3448, -4758, -6292?\nAnswer: -8056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12995 and 6102?\nAnswer: 701730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)*2*-6)\/((-3*sqrt(16))\/sqrt(8)))**2 - -6*-1*-2*sqrt(1377)*-6.\nAnswer: -648*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.21. Suppose -4*s = 5*z - 9 - 8, -5*z + 21 = 2*s. What is the smallest value in c, z, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3) + -1 + -4 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 = -42*j + 70*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzgz. What is prob of picking 1 z and 1 g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3264, -2, -1, 2 in descending order.\nAnswer: 20, 2, -1, -2, -3264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbb. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14653374 by 3.\nAnswer: 4884458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 8. Let q(h) = 98*h - 779. Let d be q(8). What is the second smallest value in d, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 1. Let j(l) = 4*l**2 + l + 2 + l**3 + 2*l + 1. Suppose -3*r = -0 + 6. Let a be j(r). Let x(o) = 3*o**2 - 2*o - 6. What is a*b(d) + x(d)?\nAnswer: -2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30752.44 hours in minutes?\nAnswer: 1845146.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k + 82. Let g be v(16). Solve 8 = g*z, -5*h = z - 7 - 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(637)*5 + sqrt(637).\nAnswer: 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10892947*h**2 + 7527079*h wrt h.\nAnswer: 21785894","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 5*u**2 - 14*u + 16. Let a be x(7). Suppose -3*g + a = s, -s + 21 = 5*g - 3. Suppose -s*p + 18 = -3*p. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 32.9999961. Round h to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2257*n**2. Let z(s) = -2*s - 1351. Determine z(v(c)).\nAnswer: -4514*c**2 - 1351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 10. Let l be x(-7). Let z be (-3 - 30\/(-9))*l. Solve -2*n = 0, -n + z = -5*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 784 or 787?\nAnswer: 784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71 or -239\/78?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 3480 = 8*f - 18*f - 4452 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 - 74*k + 59. Give z(17).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*d**2 + 5 - 28 - 8 - 4 + 6 + 2*d.\nAnswer: -230*d**2 + 2*d - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 + 22. Let p = -26 - o. Solve -p = -3*c - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93776192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.023697 and -395?\nAnswer: -9.360315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 140083 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 765 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**7\/840 - t**6\/80 - t**5\/20 + t**4\/6 + 6*t. Let g(p) be the third derivative of n(p). Find b such that g(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163 + 153. What is the common denominator of (-1168)\/(-160) + -1 + (-6)\/q and -2 + 36\/(-5) - -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - ((-18)\/(-4))\/(5\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2483598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 t, and 1 u when four letters picked without replacement from wwwtuttu?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1376 = 46*n + 126*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34.09 - 35.09. Which is the nearest to 13\/7? (a) 2 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7069718, 7069716, 7069714, 7069712, 7069710?\n\"Answer: -2*t + 7069720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367 + 13*f**3 + 376 - 65*f**3.\nAnswer: -52*f**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3*g - 6 = -31, 3*b + 5*g + 40 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21231 by 3033.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059510 divided by 1?\nAnswer: 1059510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/2, 3, 0.4, -0.8, -57?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 35 = 2*y - 9, 3*h - 5*y = -128. Calculate the remainder when 789\/(-4)*(-1)\/((-27)\/h) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011218 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -306067*q + 2105. Let g(u) = 436*u - 3. What is 2105*g(i) + 3*x(i)?\nAnswer: -421*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/6 - 2)\/((-2)\/(-42)). Let s = 18 + t. Solve -3*o - 3*n - 30 = -9, -4*o + s*n = -12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/21)\/((-24)\/(-630)*5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**6\/10 - 5052*j**5\/5 + 4253784*j**4 - 9551163008*j**3 + 12063118879104*j**2 + 19*j - 163. Factor x(r).\nAnswer: 3*(r - 1684)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, y: 7}. What is prob of sequence oyo?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2564 by 10.\nAnswer: 1282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008504933 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7769 = 3*i - q - 744, 2*i - 5662 = 4*q. What are the prime factors of i?\nAnswer: 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -276413 divided by 1051\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*a**2 + 2*a - 13*a**2 - 8*a + 6*a.\nAnswer: 46*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 257 + -175. Let h = 30 + -78. Let q = h + w. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5679811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, y: 1, e: 1}. What is prob of sequence nen?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5718.16 rounded to the nearest 100?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 * -2.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321644092 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.63 - -0.6. Let h = w - 0.27. Put h, -2\/9, 0.5 in descending order.\nAnswer: 0.5, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -237*u - 1418. Is 14 a factor of s(-38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 12\/83 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 + 41\/(-3). Let t = s + 19. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69370837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**2\/2 - 2*x + 2. Let y be q(-4). What is the first derivative of 0*p**3 + y*p**3 + 1 + 0*p**3 wrt p?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12398283 and 7424.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31 and 1703289?\nAnswer: 52801959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*((sqrt(304) + 2 + 0 + sqrt(304) + sqrt(304))**2 - (2*sqrt(304) + -4))*-1 + 5.\nAnswer: 120*sqrt(19) + 8233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**2 - 44*l + 37. Let f(d) = 50*d**2 - 310*d + 260. Let t(o) = -2*f(o) + 15*r(o). Factor t(n).\nAnswer: 5*(n - 7)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z + 130 = 0. Suppose 5 = -5*i, j - z = 5*i - 5. What is the smallest common multiple of j and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(36)*2) + -5)**2.\nAnswer: -5*sqrt(2)\/3 + 451\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -26. Let j be (-2)\/(1 - z\/(-3)). Suppose 0 = -9*l + j*l. Solve k = -l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (11 + -10) - -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/2 (b) -1\/4 (c) -0.4 (d) 3319\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 2*t**2 + 2*t + 2. Suppose 2*p - 7*p - 20 = 0. Does 8 divide j(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*q = q + 21, 0 = 5*m + 3*q + 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 23140.\nAnswer: 231400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q\/(q*q\/(((q**(-6)\/q)\/q)\/q)))\/q*q*q)**(-30)\/(q**(-5\/6))**(-28\/9) assuming q is positive.\nAnswer: q**(5600\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-10) + 0)\/(10\/(-11725)). Suppose u*p + 48 = 944*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**3 + 89*s - 2. List the prime factors of l(-8).\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 - 97*y + 379. What is h(-51)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1))**(1\/18)\/(f*f\/(f*f*f**(-2)*f))**(2\/151))**(9\/14) assuming f is positive.\nAnswer: f**(-9\/1057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 8*s + (-s + 1 - 1)*(-5 + 3 - 1) in the form t*s + j and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 64323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724765 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(180) + (0 + sqrt(180))**2 - (sqrt(60)\/(sqrt(24)\/sqrt(2)) + sqrt(45)*-4).\nAnswer: 17*sqrt(5) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 7*o - 66763, -3*q - 2*o = -5256 - 44809. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-5 + 2 + -1). Suppose 5*f + 3*c = 74, 2*f - t*c + 38 = 4*f. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + s + 5 = 0, -s + 13 = -2*k - 4*s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 0*a + 0*a)*(6*a**2 - 4*a**2 + 0*a**2 + (-20 - 11*a + 20)*(-6 + 6 - 5*a)) to the form u*a**3 + c + s*a + o*a**2 and give u.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/17)*x)\/x)\/x**(-3\/4)*(x\/(x*x*x*x**(-1)*x*x)*x)**24 assuming x is positive.\nAnswer: x**(-3221\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 - 31*s**2 + 16*s + 4. Let h be t(-16). Solve -10 = 3*m - 1, -h*u - 3*m = 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s + 25 = 0. Suppose -3*o - 3*g + 17 = -s*g, -5*g + 61 = 4*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1316*k + 1320*k = 143132. Suppose 16481 = 47*d - k. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -2)\/(-1 - 0). Suppose z = 5*f + 4*d, 0 = -f - 0*f - 2*d. Solve -2*b = -f*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 149\/3 + -49. Let c = 41 + -41. Let r = -2\/709 - -3557\/4254. What is the closest to c in 3, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540082 is divided by 4617?\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3511 is divided by 390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4007238 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*d**2 + 6*d**3 - 89*d**2 + 5*d**3.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptt when three letters picked without replacement from pzpzzpzplzptzppztppz.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a factor of 6991028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 1145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10 = 0, 3*i - 11 = z + 4*z. Suppose 3*m + m = 12. Suppose m*f - i = 5. Solve -n = f*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22\/19 - 291\/38. Find the common denominator of 29\/26 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*r + 81837 = 249*r. Suppose 3339 + r = -3*b + 4*u, 0 = -4*b + 3*u - 20040. What is b rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39*72\nAnswer: 2808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 34 = -n. Suppose 2*x + 6 = -0*x. Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-7\/5)*q**(-28))\/((q*q*q\/(q\/((q\/(q**(-5\/3)*q))\/q*q*q*q*q)))\/q**37) assuming q is positive.\nAnswer: q**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2. Let s(i) be the first derivative of -i**6\/360 + i**3 + 5. Let n(m) be the third derivative of s(m). What is n(g(q))?\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29078 and 2604?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*g**2*m**2 + 4635*g**2*m - 1617*g*m - 10*g - 243830*m**3 wrt m.\nAnswer: -20*g**2 - 1462980*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*f)*(-6*f**2 + 4*f**2 + 0*f**2)*(-4*f - 9*f + 24*f) in the form b + h*f + m*f**4 + t*f**3 + v*f**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5468522201 to the power of 1\/2, to the nearest integer?\nAnswer: 73949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1552 is divided by 362.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 42130055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 176 - 51. Let v be 4*(-4 - k\/(-20)). Suppose -45*l + 46*l = 3. Solve -4*s = v + l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 - a**3 - 3*a**3)*(-2*a + 2*a + 3*a**2) + (5*a**4 - a**4 + 0*a**4)*(-a + 8 - 8).\nAnswer: -10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3583 rounded to 1 dp?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*(-12)\/21\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence offx when four letters picked without replacement from epofefpefexoee?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 88037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3*m + 3, -k + 2*m = -m + 3. Suppose -y + k*y + 90 = 0. Let g be (-6)\/y - (-1)\/(-3). Sort -4, 1, g in descending order.\nAnswer: 1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9211, -10206, -11205, -12208, -13215, -14226?\n\"Answer: -2*g**2 - 989*g - 8220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 840475 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - (-36448)\/16)*1.\nAnswer: 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 87 + 93?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 7. Let h be d(9). Let j(k) = -k**2 + 19*k**3 - h + 1 + 2*k + 4*k - 4*k. Calculate the remainder when 75 is divided by j(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 54 = 2*u + j, u = 5*j + 18. Calculate the remainder when 70 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00855 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*c - 135*c = 148. Suppose -2*u + 46 + 104 = -y, u = y + c. Let l = 103 - u. Calculate the remainder when 105 is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6465486?\nAnswer: 2, 3, 827, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c016c0 (base 13) in base 11?\nAnswer: -5272529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 22*k**2 - 37*k - 4. Is o(-26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/2)*r\/r**3*(r\/(r\/(r\/r**1)))**(-29\/5) assuming r is positive.\nAnswer: sqrt(r)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77780 and 5660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (-2*sqrt(85))\/sqrt(5))**2.\nAnswer: -24*sqrt(17) + 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -734454 divided by -17487?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - i - 5 = -2*i, 3*i = -5*m + 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**2 - 1. Suppose -2*k + 24 = 6*k. Suppose -l - 4 = -4*a, -5*l + 4 = 4*a - k*l. Determine f(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 o when four letters picked without replacement from scssdcdcssdossscscss?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 805.2346 meters?\nAnswer: 80523.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.07695 + -0.07695. Which is the closest to -1\/7? (a) 1\/12 (b) 0.2 (c) t (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2442)\/(-2849) - (-3)\/((-21)\/(-4744559)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/2 - 3699*a\/2 + 29976.\nAnswer: -3*(a - 16)*(a + 1249)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h**2 - 2*h + 7. Let s(i) = 8*i**2 - 3*i + 8. Let u(q) = 6*j(q) - 5*s(q). Let m be u(-2). Suppose 2*l + m - 110 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*r = 11, -2*r + 32 - 13 = 3*j. Suppose -j*d - 2*v + 2438 = -2533, 5*v = 5*d - 4985. What are the prime factors of d?\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*a - 10. Let c be (-1*1)\/(a\/(-18)). Suppose -c*m - 260 = -7*m. Calculate the greatest common divisor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536 = -7*t + 121*t - 1630 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -223121204?\nAnswer: 223121144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4241*j - 30 = 4236*j, 2*b + 2 = 3*j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/(-10) + (6 - 588\/105)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23a93 (base 11) to base 12.\nAnswer: 18023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(3 - 2 - 2)*(1230 - 1230 - 63*t**3).\nAnswer: -63*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27243 - 13507. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12508500 divided by -2084750\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3244593 - 2*i**3 + 3244593 - 3*i.\nAnswer: -2*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a + 2. Let v(u) be the third derivative of -5*u**4\/24 + 20*u**2 - 7. Calculate v(f(o)).\nAnswer: 35*o - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24311, 194612, 656891, 1557134, 3041327, 5255456, 8345507?\n\"Answer: 24331*v**3 + 3*v**2 - 25*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*r - 17 = -8 - 9. Let h(f) be the second derivative of -1\/6*f**3 + 0*f**2 + r - 21*f. Determine h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 928*a**3 - 7*a + 588*a**3 - 1521*a**3.\nAnswer: -5*a**3 - 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnunnnnnnun. Give prob of picking 1 n and 1 u.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (257\/(-11565))\/(2\/12).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 - -48. Let m = -107\/2 - b. Let z = 2\/13 + 7\/39. Sort 3, z, m in increasing order.\nAnswer: z, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/5 - 39*g**3\/5 + 54*g**2\/5 + 972*g\/5 - 648.\nAnswer: 3*(g - 6)**3*(g + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169917 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 24 = 5*w, w + h = -w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 335 + -220. Calculate the smallest common multiple of 4324\/y - (-3)\/(-5) and 3.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 11. Let t be f(-5). Let p(o) = -8*o**3 + 6. Let x(z) = 7*z**3 - 5. What is t*x(k) - 5*p(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvzuuuqvpvu. Give prob of sequence zq.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 15*c + 50. Let k be u(-5). Suppose a - 2*t - 17 = 2*t, 5*t = -a - 28. What is the common denominator of 97\/8 and (-1989)\/(-260) - (k - a)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**2 + 560*x + 19600 = 0.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58784 - -58778. Let p be (1 - 1) + -4 + 6. Let a(z) = -z**3 + 2*z + 1 - 7*z**2 + z**p + 2. Give a(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1131)\/195 - (-5 - 1))\/(1\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 13 = -4*k, 2*k - b = 8 - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*g, 5*j = -0*g + 5*g. Let y(c) be the second derivative of 4*c + 1\/4*c**4 + 1\/10*c**6 + 0 + 0*c**2 + j*c**3 - 3\/10*c**5. Factor y(l).\nAnswer: 3*l**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**3 - 2*x**2 + 6*x - 5. Suppose -60 = 5*l - 65. Let z be i(l). Suppose -z*a + 357 = 2*r - 378, -2*a + 310 = 4*r. List the prime factors of a.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*g**2 + 20 + 18*g**2 + 22 - g**4 - 9*g**2 with respect to g.\nAnswer: -4*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47\/3 + 17. Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2 + 49824*t + 32995941 = 0. What is t?\nAnswer: -15917, -691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**11\/q**(3\/5))\/(q*q**1)**25 assuming q is positive.\nAnswer: q**(-198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1620\/270*3\/(-60)*-2\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3 - 7 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (205\/164)\/((-10)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/2 - 15\/15. Do -15 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1)\/5*3*-2)\/((-22)\/(-57695))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 27*i**2 + i. Let v be p(1). Let h(x) = x - 2. Let q be h(5). Suppose 2*w - q = -y, 3*w + v = -2*y + 7*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -52, -79, -106, -133, -160?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1401521 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 65*o + 197. Let w be x(-34). Calculate the highest common divisor of w and 760.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167296 by -10456.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40381183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -161564 * 1893.\nAnswer: -305840652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**3 - 1056*s**2 - 71760*s - 270400 = 0?\nAnswer: -130, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-18)*-8 - -16. Suppose 0 = -3*n + 406 - 22. Let r = n - 48. Calculate the highest common factor of r and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61d0 (base 14) to base 11.\nAnswer: 11721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 9748*g**3 + 2*g**2 - g**4 - 4*g**2 + 3*g + 9753*g**3 to s*g**3 + p + n*g**2 + a*g**4 + x*g and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/11 and 31\/12320.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 40*x**2 + 57*x + 227. Let w(a) = -26*a**2 - 38*a - 151. Let p(k) = -5*d(k) - 8*w(k). Is p(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 483.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 3*t**2 - 4*t + 2. Let a(f) be the first derivative of -8\/3*f**3 - 11\/2*f**2 + 1 + 6*f - 3\/4*f**4. Let h = 7 + -18. Give h*v(r) + 4*a(r).\nAnswer: -r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5548 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 63*l**2 - 13*l + 30. List the prime factors of c(3).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420 = -103493*g + 103451*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 greater than 50788904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 3*p**5\/10 + p**2\/2 - 4*p. What is the derivative of n(w) wrt w?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16940 divided by -4\nAnswer: 4235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/26*12\/(-75)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 85*r**2 + 25*r + 25. Let i(u) = -11*u**2 - 6*u - 6. Let t(w) = -12*w**2 - 7*w - 7. Let a(f) = 5*i(f) - 4*t(f). Calculate 25*a(j) + 2*o(j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2 + 5. Let x = r - -5. Let o be 2 + 0\/(-2) - 2. Solve o = x*k - 4*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*m + 610 = 195*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/19 - 2\/19*u**4 + 30\/19*u**2 - 34\/19*u - 6\/19*u**3.\nAnswer: -2*(u - 1)**3*(u + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 13*i. Let d(o) = -191*o + 385*o - 199*o. What is g(d(u))?\nAnswer: -65*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5711761 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1654*6.\nAnswer: -9924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/6 and ((945\/(-18))\/(-15))\/((-558)\/(-4)).\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbtbbtgbtbbbbgtt. Give prob of sequence gbtt.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87923.28 seconds to microseconds.\nAnswer: 87923280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 8:31 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (18 + -14 - (1 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(((-4)\/(-8))\/(-1)). Suppose o = 3*s + 2, -s = -4*o - 5*s + 24. Solve d = o*c + 20, -3*c + n*c = -4*d + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 6)\/8 + -6 + 30\/(-5) + -4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.66731 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -7. Suppose -y - 4*y + w = -9, -2*y = -b*w - 14. Let j = 13 + y. Calculate the remainder when 41 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 - 7*b + 3. What is the units digit of d(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agw when three letters picked without replacement from gvvawwv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and (-1)\/((-18)\/16 + -1 + 2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -635\/11 greater than -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynyzswrw. What is prob of picking 1 s, 1 n, and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 76.6446 kilograms?\nAnswer: 76644600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.58618 millennia in centuries?\nAnswer: 595.8618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 8:31 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013 times 347.938?\nAnswer: 4.523194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103987493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -348*x - 5. Let v(l) = 210*l + 3. Let o(y) = -3*u(y) - 5*v(y). Let r(z) = 957*z**2 + z. Give o(r(d)).\nAnswer: -5742*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 0*b**3 - 4\/5*b**5 + 0 + 0*b**4 - 26*b - 5*b**2. What is the derivative of a(x) wrt x?\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 41 = -4*z - 5*d, -2*d = 4*z - 146. Let s = -34 - -88. Calculate the highest common divisor of s and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 78 - 12 = 0. Let g be (m\/(-4))\/((-4)\/(-136)). What is the greatest common factor of g and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 123018?\nAnswer: 123018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (505\/(-8484))\/(5\/(-8)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 24 + 53)*(-4*r**3 + 4*r**3 - 15*r**3).\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(13) + 3 + 2 + sqrt(13) + 3*sqrt(13) + 3)**2 - (((sqrt(13) + sqrt(325) + 2)**2 - sqrt(13))*-5 + 3 + -2).\nAnswer: 195*sqrt(13) + 2748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 784529.022.\nAnswer: -784529.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -31*q**3\/6 - 5*q. Let a(n) = n. Give a(g(i)).\nAnswer: -31*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 6*-5 - 2) + 0. Suppose 5*r + 1 = -64. Let s = r + t. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223 + -197. Calculate the remainder when -2*(1 - g) + (13 - 9) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-five halves of a kilometer?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 6*y - 6 = 0, -4 = -j + 5*y - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -79*i**2 - 313*i + 15. Calculate d(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + o**3 + 0*o**3)*(-o + 2*o - 5*o)*(-209*o + 1 + 350*o - 275*o).\nAnswer: 1072*o**5 - 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxxcffxxxcxc. What is prob of sequence ff?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25252 * -0.049.\nAnswer: -1237.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Let g(y) = -2*y + 5*y - y. Let a(c) = -5*g(c) + 14*n(c). Let i(s) = s**2. Determine a(i(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - o + 5. Let w be i(0). Suppose 2 = -4*u + w*u. Let t(d) = -3*d + u*d - d - 4. What is t(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1138 divided by -606804?\nAnswer: 569\/303402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6*s = -s + 720, -2*d + 480 = 5*s. Suppose 0 = -5*f + f + d. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from hhhdshjjjhhjshhhhhs.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**6\/120 - k**4\/24 + 13*k**3\/2 + 2*k**2 + 84*k. Calculate c(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*869\nAnswer: 2607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00331658 to 4 dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183481 is divided by 12019.\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 5*j + 6. Let u be r(5). What is the highest common factor of u and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from {f: 3, r: 4, d: 1, y: 2, j: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 - l**2 - l + 5. Let h be g(4). Suppose -3*r - 5*d = -h - 81, -d = -2*r + 138. Suppose 3*u + 8 = r. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*z + 80804020, 3*v + 727235988 = -24*z + 6*z. What is z rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 3:57 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 39*m. Let s be (-3 + 5 + -1)*1. Is k(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 33. Suppose -p = -5*q + 30, -i*q + 2*q = 4*p + 28. What is the closest to 1 in 3, 0, 2\/3, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v = -4. Which is smaller: -1\/6 or v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*s - 184*s - 9 = -3*r + 6, 4*s + 2*r - 3 - 1 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13*m**2 + 6*m + 6. Let i(y) be the second derivative of 49*y**4\/3 + 91*y**3\/6 + 91*y**2\/2 - 369*y. What is 6*i(h) - 91*j(h)?\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -102, -106, -112, -120, -130, -142?\n\"Answer: -i**2 - i - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a - 3. Let b = -119 - -119. Suppose -5*c + 25 = 4*p, -2*p + 7*p = b. What is y(c)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*x + 30*x + 5600 + 520. Suppose -54 - 15*g**3 - 3\/2*g**4 + x*g - 39\/2*g**2 = 0. What is g?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g - 19 = -5*r - 19*g, -3*r - 5 + 10 = -9*g + 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/((3*sqrt(96))\/sqrt(12) + sqrt(8)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -1. Let c be (4\/(-6))\/((-12)\/(-36)). Is c greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -146*o**2 + o**4 + 0*o**4 + 289*o**2 + 1 - 141*o**2. Let b(v) = 4*v**4 + 10*v**2 - v - 54. Let d(f) = -b(f) + 5*j(f). Differentiate d(t) wrt t.\nAnswer: 4*t**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 21*t - 2. Let s(w) = 15*w**2 + 4*w - 4. Let v(j) = 539*j**2 + 143*j - 143. Let i(b) = 143*s(b) - 4*v(b). Determine u(i(m)).\nAnswer: -231*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 27, 50, 75?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (17 + (-14 - -6) - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31644680 divided by -1\nAnswer: 31644680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -514438, -1028639, -1542602, -2056327, -2569814?\nAnswer: -3083063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 689 + 647 = 0. Let f(o) = -2*o**2 + 18*o - 32. Let u be f(i). Solve u*s + 2 = 3*q - 1, 5*q - 4*s + 3 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 3*u**2 - 11*u + 20. Determine j(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24\/5 - 3\/5*a**3 + 6\/5*a**2 - 1\/5*a**4 + 28\/5*a = 0. What is a?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6 + 4 = 0. Suppose 0 = -m*q + 4, -4*g + 20 = -3*q - 94. Suppose -w - g = -3*w. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 83*v - 82*v - 330, r + 2*v = 72. What is the lowest common multiple of r and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*o = -24, -2*q + 3*o - 12 = o. Let x be (12\/(-15))\/(q\/15). Factor 2*f + 0*f**3 - 2*f**3 - f**2 - f**2 + x*f.\nAnswer: -2*f*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlkrczcrzrzzkz. Give prob of picking 2 z and 1 k.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -431 and 7?\nAnswer: -3017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + 0*y - 3*y - 51*y**3 - 31*y**3 to l*y + q*y**2 + k*y**3 + g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffj when three letters picked without replacement from jjjjjjfjjfjjfj.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 + -374. Let g = -123 - r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-3*1 - -2). Let p = 12 - h. What is the units digit of 8 + (2\/1 - p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 - -85.07. Which is the biggest value? (a) 5 (b) h (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5385 - 5382. What is the smallest value in 7, y, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2 + 0 + 4*s - 5*s - 17*s. Let x(p) = 12*p**2. Give i(x(l)).\nAnswer: -216*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 + 6*d**2 - 7*d**3 - 36*d**2 + 25*d**2.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 573 + -50?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 15*q**5 - 230*q**4 - 985*q**3 - 1120*q**2 - 380*q = 0.\nAnswer: -2, -1, -2\/3, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + ((-30)\/5)\/(-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 1:45 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a centimeter in micrometers?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41655336 is divided by 957?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3, 0 = -2*p + 50*z - 46*z + 606. What is the remainder when p is divided by 92?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 18*k**2 + 21*k + 38. Is u(-33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - c + 3)*(-191*c**3 + 395*c**3 - 51 - 205*c**3) in the form k*c**4 + n*c + g*c**3 + w + x*c**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -21*8\/(-24) + 277?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 2357.\nAnswer: 9428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55737 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -908*q. Let p(u) = u**2. Determine p(a(v)).\nAnswer: 824464*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2266 + 2265.9388. What is the nearest to 0 in -3\/2, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i = -9. Factor 3*n + 3*n**2 + 3*n**3 - i*n + n**4 + n + 0*n**2.\nAnswer: n*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/h**(-6\/5))\/h*h*h*h*h**10*h)\/((h*h**(-3)*h)\/h*h**(1\/16)\/h))**(-6\/7) assuming h is positive.\nAnswer: h**(-4593\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30a + 432?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296 + 873 - d - 251 - 326.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**2 - 3*p**2 - 4*p**2)*(3074 - 3074 - 13*p + (-2 + 2 - 2)*(-3*p + 3*p + 2*p)) as r + q*p**3 + x*p**2 + i*p and give q.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5960377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13764, -13896, -14028, -14160, -14292, -14424?\n\"Answer: -132*a - 13632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c - 28*c = 5*z + 5, 2*c - 2 = -4*c + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnw when three letters picked without replacement from {b: 4, w: 1, n: 2, o: 8}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**5\/20 - 5*c**4\/6 + 3*c**3\/2 - 5*c**2 - 2*c - 3. Let s(l) be the first derivative of m(l). Does 3 divide s(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1066\/117 - (1 + 28\/(-21))*90\/(-3)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000031387 to 6 dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 24\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 3:34 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 3:28 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4abc3b - -1?\nAnswer: -4abc3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39079*0.5.\nAnswer: -19539.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -699*q**6\/2 + 1418*q**2 + 1555. What is the second derivative of w(s) wrt s?\nAnswer: -41940*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 32*i**3 - 5*i**2 + 4*i + 1. What is the lowest common multiple of d(1) and 11?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pglhzlpllghu. Give prob of picking 1 l, 2 h, and 1 g.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*a - 917*c + 918*c = -29, 2*c = -5*a - 47 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -18\/2073523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -64*x**2 + x + 1. Let m(t) = -4*t**2 + 2. Determine -c(g) + m(g).\nAnswer: 60*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -813*y + 122563. Is l(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 b, and 1 d when four letters picked without replacement from {p: 13, b: 3, d: 3}.\nAnswer: 117\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = 232. Suppose q - r = 3*r + n, -2*r = 4*q - 410. Suppose 5*y + 4*t - 61 = 3*t, 36 = 4*y + 4*t. Calculate the highest common divisor of q and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111\/860 - -91\/172. What is x in -1\/5*x**3 - 1\/5*x**2 + w*x + 0 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620195 to the power of 1\/2, to the nearest integer?\nAnswer: 1619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 135 = -3*g, -3*v = -0*v - 5*g - 94. Let x(c) = -4*c + 3. Let a be x(-4). Let z = v - a. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by (-4 - -29)*(3 - 2) - (3 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j - 12. Let p(w) be the first derivative of -w**5\/60 - w**2\/2 + 32*w + 54. Let d(a) be the second derivative of p(a). What is d(g(m))?\nAnswer: -9*m**2 - 72*m - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8435\/1446*364\/(-130)?\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 32. Solve -x = 4*w - j*x + 2, w - 3*x = -13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1449\/(-805))\/(6\/(-40)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + u - 2. Let x be a(-2). Suppose -3*y + 0 = -6, 5*y + 22 = 4*o. Solve -4*z + o*z = x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**5\/4 + 2485*m**4 + 915771*m**3\/4 = 0.\nAnswer: -9847, -93, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 10993825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 1, u: 1}. Give prob of sequence zi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 240502372.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -534 + -3?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + d + 2*d**2 + 5)*(-3*d + 3*d + d)*(-3*d + 5*d - d) to the form i*d**4 + v*d**2 + x*d + p + w*d**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18097*l - 18959*l + 37071*l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntt when three letters picked without replacement from {t: 3, n: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-10)\/6)*4\/(-6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*h**3 - 5*h - 99*h**2 + 3*h + 99*h**2 - 356*h**3.\nAnswer: -666*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1937*n**4 - 6260*n**3 - 1445290729*n**2?\nAnswer: 46488*n - 37560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -333 or -339?\nAnswer: -339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**3 + 17*y**2 + 460.\nAnswer: -3*y**2 + 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (9 + -2))*-35. Suppose g = -25 + v. Suppose 2*l = -3*l + g. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 2*t)*(-t**4 + 2*t**4 - 2*t**4).\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*w - 862 + 862 + (4*w - 3*w - 3*w)*(0 + 2 - 4).\nAnswer: -72*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13619 (base 11) in base 16?\nAnswer: -4bb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 4, t: 7, w: 2, h: 2}. What is prob of picking 2 t?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 200977378*x**3 + 353092521 wrt x.\nAnswer: 602932134*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -3. Let h(m) be the second derivative of m**5\/10 + m**4\/3 + m**3\/3 - m**2 + m. What is h(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 34 + 40 = 2*v, 5*v - 2*w = 47. Let y(j) = -4*j + 31. Let c be y(7). Calculate the highest common factor of v and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4744)\/56 + (-4)\/14. Let n = s + 136. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/9, 3, 455?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2.9, 214\/3, -1.6?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13226, -13223, -13220, -13217, -13214, -13211?\n\"Answer: 3*d - 13229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20081, -80443, -181255, -322685, -504901?\nAnswer: -728071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*b = -8868 + 404. What is the remainder when 2745 is divided by b?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2))\/v*v)**43*v**15*v*v*v*v\/v**(-17)*v*v*v assuming v is positive.\nAnswer: v**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3784 is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 40294 divided by 5\nAnswer: 40294\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9465624 tonnes in kilograms?\nAnswer: 946.5624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - -70. Let s = o + -89. Suppose -247 = -7*a - s*a. Calculate the remainder when 56 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.45 + 22.45. Let r = n + -12. Let x = r - 10. What is the third biggest value in 5, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 3) + 326 + -332?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, z: 3, r: 1, q: 5, t: 1, b: 1}. What is prob of picking 1 q, 1 t, 1 b, and 1 s?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -682289065279865.00000035 - -682288725589509. Let u = 339690369 + s. Let q = -13 + u. What is q rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o*o\/o**(-1\/3)*o*o)\/o)\/o*o))\/o)**(20\/7)*(o**0)**(-1\/19) assuming o is positive.\nAnswer: o**(-200\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 378, 374, 370, 366, 362?\n\"Answer: -4*z + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*v**2 - 8*v**2 - 6*v**2 + 11*v)*(2 + 3 - 3)*(-3 + 3 + 2).\nAnswer: -4*v**2 + 44*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 584066416 to the power of 1\/3, to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5260*q**4 - 42*q + 36 wrt q.\nAnswer: 63120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 - x + 1. Let b be w(1). Put b, -1, -4, 5 in decreasing order.\nAnswer: 5, b, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 176306498*w + 160491343 with respect to w.\nAnswer: 176306498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {j: 2, i: 10}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 - 63*w**3 - 6148*w**2.\nAnswer: w**2*(w - 116)*(w + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:47 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -7, -11, -15?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = z. Calculate the greatest common factor of 56 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 333144 - -314223?\nAnswer: 1202422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 0 + 3 - 12 + 2*f + 5*f**3 + 5*f**2 - 4*f**3. Let a be w(-4). What are the prime factors of (2\/a)\/(2\/(-33))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.82 * 0.001\nAnswer: 0.00182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4135 is divided by 103?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2 + 62\/4. Let f = u - 12. Solve -24 = -3*i - 5*n + f*n, -i + 16 = 3*n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3478*b - 41745. What is v(12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -71*m. Let u(l) = -7*l**2 - 4*l - 4. Let n(f) = 5*f**2 + 3*f + 3. Let o(x) = 4*n(x) + 3*u(x). Calculate o(i(a)).\nAnswer: -5041*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - v**2 + 2. Let h be w(-2). Solve h = -4*t + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = 3*p. Suppose r - 137702 = 4*d, 0 = -p*d + 2*r - 15949 - 87330. Let y = d + 105425. What is y rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 w, and 2 g when four letters picked without replacement from {g: 3, y: 1, n: 5, b: 1, w: 2, u: 1}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 32. Let a be y(23). Suppose s + a = -5*l, 0*l - 2 = -4*s - l. Solve m - s = 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1\/9 (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 0*n**3 + 2*n**2 - n**3. Let k be g(3). Find the third derivative of 4*c**2 + k*c**3 + c**3 - 2*c**2 wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 7:20 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16553\/10 + -1659. Calculate the common denominator of 202\/(-12) - (0 - 0) and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-552)\/(-5) - (-30)\/50. Suppose 3*l = -0*l + i. Calculate the remainder when l is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03914 - 0.13914. Which is the nearest to s? (a) 0.5 (b) -1\/2 (c) 3\/4 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207\/5 + 41. Let z = -2346 - -16425\/7. What is the biggest value in m, 0.02, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k + k + 3*k. Let w(b) = -2*b - 1. Let m(g) = -1. Let u(c) = m(c) - w(c). What is y(u(z))?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122760 and 138105.\nAnswer: 1104840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -6*-2*sqrt(77) - 4*(sqrt(77) + sqrt(77) + -2*sqrt(77) + sqrt(77) - sqrt(77)))\/((sqrt(168)\/sqrt(4))\/sqrt(6) - (1*sqrt(175) + sqrt(175))).\nAnswer: -13*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*k + 4)*(194 - 107 - 119)*(-2*k + 4*k - 6*k).\nAnswer: -512*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(833) + -4)**2 - sqrt(187)\/sqrt(275) - 2*(sqrt(68) + -3)*3).\nAnswer: -2046*sqrt(17)\/5 + 5202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61.66 + -67.3. Let n = 5.64 + k. Which is the closest to -25? (a) 2\/7 (b) -2 (c) 0.1 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/2 + 4*t**4 + 29*t**3 + 44*t**2 + 39*t\/2 = 0. Calculate t.\nAnswer: -3, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12938898 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 283404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141833.770004 + 141834. Let c = -0.23 + s. What is c rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*h**3 + 8344*h**2 - 4720*h + 672 = 0.\nAnswer: 2\/7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 3232*b + 3240*b - 95, -j + 5*b + 19 = -2*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3023?\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -4 - -3) + 24435\/5 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**20*v**(-10\/7) assuming v is positive.\nAnswer: v**(130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 36 = -4*q - 312, -q - 3*l = 73. Let c = 111 + -212. Let p = q - c. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 271 - 41?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796118869?\nAnswer: 7, 13, 61, 143419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 bigger than -6758\/735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-21)*-1*14\/(-4). Solve q*f - 25 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**5\/30 + 3*z**2. Let u(m) = 241*m**2 + m - 1. Let y(p) = -1222*p**2 - 6*p + 5. Let v(g) = 5*u(g) + y(g). What is v(k(d))?\nAnswer: -68*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835055?\nAnswer: 5, 13, 29, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123397 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 4 - 4)*(-2 + 5 - 1) + 1 - 6 + 3)*(0*t + 4*t - 3*t) + 0 + 3*t + 0 in the form w + x*t and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 149 = 2*q + 79, -24*u = -3*q + 393 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2961014\/3 smaller than 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 171 = -187. Solve -y*n - 1 = -9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.08, 0.1, 0.4, 0.093 in increasing order.\nAnswer: -4, 0.08, 0.093, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -113232122?\nAnswer: 113232130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c + 4 = 0. Does 7 divide c\/30 + (-428)\/(-60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*54\/(-24)*(-4)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71.09 - -77.7. Let i = q - 6.9. Let t = i - 8.21. What is t rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -436, -558, -618, -616, -552?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1683027615?\nAnswer: 3, 5, 29, 3869029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-4 - -20) - (-1 + (-54 - -12)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 2*q + 28, -2*s - 359 = 4*q - 427 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 600 by -1.\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n**3 + n**3 - 3*n**3)*(250*n + 858 - 858 + (1 + 3 - 6)*(-4*n + 3*n + 2*n)) as o*n + t + c*n**4 + s*n**2 + k*n**3 and give c.\nAnswer: 992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 31 + 179. Let b(j) = j**2 + 19*j + 10. Let n be b(-15). Let l = n + m. What is the smallest common multiple of 10 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(100\/70))\/(4\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5*t = -5*t + 16*t + 20, r - t - 7 = 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(36)\/sqrt(3)) - ((2*sqrt(33))\/sqrt(11))**2) + (sqrt(132)\/sqrt(11) - sqrt(3)*-2*-4).\nAnswer: -12 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/x**(-2\/5)*x)**(-23\/2)*(x**(-1)*x*x)**12*((x\/(x**(-4)\/x))\/x)\/((x*x\/(x\/(x\/x**0))*x)\/x)*(x\/(x\/x**1)*x)\/x*x*x**1 assuming x is positive.\nAnswer: x**(-163\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 189\/14*(34 + -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/36 and -11\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2 - 12*z - 144 = 0. Calculate z.\nAnswer: -6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 d when four letters picked without replacement from {h: 4, n: 1, q: 1, k: 2, d: 7}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(154\/(-33) - -5)*2. Solve 13 = -14*v + 18*v + 3*o, 2*v + 10 = g*o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 18 = 10*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/56*0)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 228 + -228. Let x be 1 - (3 - (w + 0)) - -9. Solve 0 = 3*u - 4*v + x, -u + 2*u + 4*v = 19 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 363234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*w**2 + 2 + 63*w + 78*w**2 + 4 - 2 - 4 - 3.\nAnswer: 23*w**2 + 63*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times -15046\nAnswer: -1655.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 37*y + 13. Let o(t) = 37*t + 10. Determine 3*i(c) - 4*o(c).\nAnswer: -37*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x + 15 = 0. Let m = -22.89 - -23. Let g = m + -4.11. Which is the second biggest value? (a) -2\/3 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 8. Suppose p*g = 4 + 4. Let a be g + (-3)\/(-3)*-1. Solve -4*t = t + 2*k - a, 5 = 3*t - k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 60, 88, 134, 198, 280?\n\"Answer: 9*w**2 + w + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72.8 - -73. Let b = -663\/7 - -95. What is the closest to 0 in -2\/45, h, b?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/108*14*738\/3444\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvv when three letters picked without replacement from {m: 1, v: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5954027 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(3\/7)*y**3)\/(y**2)**(1\/4)*(y\/y**(2\/9))**(-31)*(y**(-2\/9))**(-1\/26) assuming y is positive.\nAnswer: y**(-11015\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619015.\nAnswer: 5, 123803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 7 + 7 - 4*p + 3*p - 5*p + p + 3*p - 2*p + (4 + 4 - 6)*(0 + 2*p + 0) - 7*p + p - 2*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**2 - 84*i*w**2 + 99*w**2 wrt i?\nAnswer: -4*i - 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 1 + -1*sqrt(272) - (sqrt(272) + 6*sqrt(272)*-1) - ((1 + sqrt(272))*2 + (-2 + sqrt(272) + 4 - sqrt(272)))) + -1)**2 + 3.\nAnswer: -96*sqrt(17) + 2467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let y = 0.3 + -1.3. Let r = 64 - 68. What is the nearest to y in r, w, 2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -8 (b) -1\/1084 (c) 4 (d) 1\/4 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 95 = f, -4*f = -6*f - 5*l + 250. Does 23 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j - 55 + 118 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001226 rounded to 5 dps?\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 3) to base 14\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 + 176. Let l(g) = -g**2 - 8*g + 2. Let b be l(-6). Suppose v + b = 38. Calculate the highest common factor of v and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 909 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 15. Let w be m(-18). Is w >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2\/5*t**3 + 0*t + 0 - 4\/15*t**2 - 2\/15*t**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttngttxntxxt. What is prob of picking 2 t and 1 g?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*l + 30 = 0, 3*g = -2*g - 2*l + 30. Let d(h) be the second derivative of -h**4\/12 + 7*h**3\/6 + h**2\/2 + h. Is d(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x**2 - 6*x**2 - 31*x - 5*x**2 - x**3 + 18*x + 19*x. Give y(4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3204\/18690*(-28)\/6*301\/14?\nAnswer: -86\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 776 or 775?\nAnswer: 776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3349?\nAnswer: 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1660*d - 897. Is t(-54) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -b + 5*u - 0*u, -5*b + 30 = -5*u. Is (-3433)\/(-2) + -1*(-3)\/b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001335714 to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, 1\/4, -12.3, 10\/3, -0.3, 3\/10, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r - 28. Let u(o) = o**2 + 6*o - 10. Let t be u(r). Let h(c) = -c - 2. Calculate h(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -1, 1128, 3 in decreasing order.\nAnswer: 1128, 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**3 - 4*h**2 + 3*h + 2. Let v(w) = -9*w**3 - 7*w**2 + 5*w + 4. Give -7*a(p) + 4*v(p).\nAnswer: -p**3 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46035.\nAnswer: 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-5) + 11\/(-55). Suppose o*x = -8*x + 4901. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508\/6*((-66)\/(-12) - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -334*z**2 - 1002*z + 501. Let j(u) = -u**2 - 2*u + 1. Let y(a) = -501*j(a) + s(a). Let p(l) be the second derivative of -l**3\/2 - 20*l. Give p(y(n)).\nAnswer: -501*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339751 is divided by 98?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14716 a factor of 6859863400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 21, 39, 51, 51, 33, -9?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 2*k**2 - 4*k - 3. Let x be g(-3). Factor x*y + 0 - 1\/4*y**2.\nAnswer: -y**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {m: 3, v: 7, k: 4}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + -5 + 2 - (-15 - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/18)\/(562\/(-2529))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 19\/154?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 42*v - 38*v = -79, 140 = 5*x - 5*v. Calculate the remainder when 438 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94569 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 6*d**2 - d - 1. Let i be b(6). Let k = i - -13. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p + 167 + 11*p - 167.\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {e: 3, z: 12}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -210102212000?\nAnswer: 210102211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -6 + 2. Suppose -4 = -3*o - y*k, -3*k + 7*k - 8 = -4*o. Is o equal to 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9455\/3 at least as big as 3152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = 1. Factor 2 + f*w**2 + 9*w + 2 + 5 + 3*w.\nAnswer: 3*(w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**5 - 5187*r**4 - 177301*r**3 - 1113365*r**2 + 6746976*r - 7539124 = 0.\nAnswer: -19, 2, 5221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-12)*z**(-14))\/(z**(1\/18)*z\/(z*z*z**(1\/35)\/z)))**(-3\/13) assuming z is positive.\nAnswer: z**(15767\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 2*n**3\/15 + n**2\/5 - 23. Factor r(h).\nAnswer: 2*h*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 5190*k**2 + 5195*k.\nAnswer: -5*k*(k - 1039)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -633046, -2532390, -5697962, -10129762, -15827790, -22792046?\nAnswer: -31022530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71726, -286191, -643632, -1144049, -1787442, -2573811, -3503156?\n\"Answer: -71488*u**2 - u - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 374 - 376. Let n = b - -57. Let p be ((-10)\/(-4))\/(2\/4). Calculate the highest common divisor of p and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(30) + sqrt(270)\/(sqrt(9)*2))\/(sqrt(810)*-1)*-5)*1.\nAnswer: -1 + 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1291187 * -54\nAnswer: 69724098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34734756593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 168700.4 rounded to the nearest one thousand?\nAnswer: 169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 12840915, 13 in descending order.\nAnswer: 12840915, 13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-104))\/(12\/32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1507.7 + -1763.9. What is h rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -13. What is the third derivative of -40 + 40 + k*a**2 - a**3 - 8*a**2 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**3\/6 + 263*i. Let q(s) = -4*s - 4. Give 6*n(d) + 2*q(d).\nAnswer: -2*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1703.6 + -0.2.\nAnswer: -1703.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + 13. Let q be (-2*1)\/2 + (o - 40). Solve 4 = -4*n - q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 527522519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18652431, 18652434, 18652437, 18652440, 18652443, 18652446?\nAnswer: 18652449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(35) - sqrt(105)\/sqrt(3))\/sqrt(7) + sqrt(5) + (-3*sqrt(5) - sqrt(5)) + -2.\nAnswer: -3*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 671831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = d - 2*p, d + 9*p = 6*p - 35. Let n = 53 + d. Suppose 0 = n*l - 7*l + 8. Which is the closest to 1? (a) 2\/3 (b) 0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -221*-0.09\nAnswer: 19.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 5*g - 15. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.376 - -0.119. Round c to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 14*s**3 - 6*s**2 - 43*s - 51. Is z(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13132 divided by -49.\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 3. Let b be 5*15*2\/y. What is the greatest common divisor of b and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/2 + 29*v**2\/2 + 14*v.\nAnswer: v*(v + 1)*(v + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1583065569?\nAnswer: -1583065565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 1\/4*y**2 + 0 - 16*y - 1\/24*y**4 + 0*y**3. Factor j(l).\nAnswer: -(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 358\nAnswer: -1\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14022384 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 791162.1 micrograms to tonnes.\nAnswer: 0.0000007911621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-38 + 356 + -363 + (0 - 1) + 5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495310197.\nAnswer: 3, 165103399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 69888 divided by 1\nAnswer: 69888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 58000*o - 5017584.\nAnswer: 4*(o - 86)*(o + 14586)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*i - 3*y = -50*i + 282, -2*y + 358 = 4*i. Suppose -97*c + 1836 = -i*c. Is 34 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4)\/(3\/(-72)*3). Suppose -g*u - 4 = 4*t, 4*t + 2 = -2*u - 2. Solve 4 = -w - u*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1486646 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 16, -14, -56, -110, -176?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -225 + 235. What is the lowest common multiple of (-30)\/9*(-9)\/6 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 118*g + 13. Let k(a) = 4*a**2. Give k(d(j)).\nAnswer: 55696*j**2 + 12272*j + 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 5994.\nAnswer: 41958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 7:10 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/11)\/(31 + 19054\/(-616)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 26. Suppose -11*a + 16 = -3*a. Calculate the highest common divisor of a and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o**4 - 15*o**3 + 15*o**2 + 15*o - 6 = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + 358. List the prime factors of o.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*z = -120, 5*c + 2*z - 185 = -0*c. Suppose 113 = h - c. Does 37 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -473, -472, -471?\n\"Answer: j - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 0*j**2 + j**2)*(-2*j**3 - 14*j**3 - 13*j**3) - 3*j**5 + 4*j**5 + 0*j**5 + 4*j**5 - 4*j**5 - 5*j**5.\nAnswer: -33*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**6 + 161*n**3 + 1069*n**2 wrt n?\nAnswer: 240*n**3 + 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 divided by -130?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/40)\/(20\/25)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -16.\nAnswer: 31\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1092655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688530 is divided by 4123?\nAnswer: 4112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 2, -0.9, 2.5, -1 in descending order.\nAnswer: 2.5, 2, -2\/3, -0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - n - 1. Let f be s(0). Let o = 36772\/39 + -18264881\/19383. Let b = 1\/71 + o. What is the nearest to f in 4, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95795?\nAnswer: 5, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 - 76*a\/3 + 722\/3.\nAnswer: 2*(a - 19)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*b + 8 = 0, -5*b = l - 4*l - 20. What is the third biggest value in -2\/9, l, -2\/37?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-3))\/n)\/(n\/n**5))\/(n\/n**(1\/4))**(1\/90) assuming n is positive.\nAnswer: n**(839\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3288963 (base 10) to base 4.\nAnswer: -30202332003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86856 is divided by 1158.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ea5922 + -8?\nAnswer: -ea592a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2975 + 340 = -5*n. Is 9 a factor of 2\/(-10) + n\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -45*l - 8. Let b = -3 + 25. Suppose 3*u = 4*z + b, 4*u - 2*u = -4. Is r(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006061 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 + -2231. Which is the third biggest value? (a) -0.2 (b) w (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-10 + 18 - 12)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/(193\/(-579))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**5 - 3199*t**4 - 1851*t**3 + 9913*t**2 - 3595*t + 2 wrt t?\nAnswer: 60*t**2 - 76776*t - 11106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 485.489 millennia?\nAnswer: 48548.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g + 8. Suppose -5*v + 4 = h + 3, -5*h + 5*v = -5. Let w be (3 - h) + 5 + 4. Is q(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9898.577ml in litres?\nAnswer: 9.898577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 5:12 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 55697734787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4202, -4200, -4198?\n\"Answer: 2*f - 4204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-1 - 0) - 12\/4. Solve -31 = 5*z - r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 244?\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45363402 to the power of 1\/2, to the nearest integer?\nAnswer: 6735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-18 - 6) - 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 23*c**2 + c - 26. Let a be t(23). Let m be -5*((-2)\/a)\/(45\/(-27)). Factor -9*d**3 - 2*d**3 + 2*d**m + 0*d**3 + 10*d**3.\nAnswer: -d**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -675760 or -676340?\nAnswer: -675760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 16*q + 13. Let u(t) = t**2 - 4*t - 3. Calculate the remainder when o(-10) is divided by u(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 728.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 = 0, i + 3 = -0*i - 5*d. Solve i*p - g - g = -12, 27 = -5*p + 2*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d - 4. Let q be l(-3). Let h(x) = -14*x - 12. Let p(j) = 5*j + 4. Let w(m) = q*p(m) + 4*h(m). What is w(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 1:38 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 32542 (base 6) to base 4\nAnswer: 1012232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58030 + 4990675\/86. What is the common denominator of ((-11)\/3)\/((-20)\/(-66)) and h?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -125, -890, -2163, -3944, -6233?\n\"Answer: -254*g**2 - 3*g + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (57\/(-6))\/(1\/(-12)). Suppose -u = a - 2*a. Suppose -3*v = -4*i + a, 4*i = -0*v + v + 110. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40900 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -13*k + 3. Let r(t) = -14*t + 4. Determine -5*n(m) + 4*r(m).\nAnswer: 9*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 10*a**2 + 10*a - 11. Let s be r(-11). Suppose -6*y + 5*y + 2*m + 9 = 0, 4*m = s. Which is smaller: 10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**5 + 24015*g**4 - 28653565*g**3 - 442423335*g**2 + 8639372610*g + 9053118360 = 0. What is g?\nAnswer: -26, -1, 12, 2409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x**2 + 2*x - 1. Calculate the remainder when m(1) is divided by -2*(-3)\/6 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3552*n + 134886. What is o(-38)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1414 to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*p - 3652 + 7357 - 3686.\nAnswer: -55*p + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -23*p + 1. Let k be r(1). Let s(w) = -w**2 + 12*w. Let b(q) = -q. Calculate k*b(g) - 2*s(g).\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17151)\/(-45) + (136\/(-255) - (-18)\/45). Calculate the greatest common factor of 15 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12b (base 13) to base 4\nAnswer: -3032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 38 - 11 + 4*q)*(0 + 0 + 2*q).\nAnswer: 8*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26995 - -26993. What is the fourth smallest value in -0.302, -1\/4, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10*q = 0. Let k = q + 2. Let r = 34 + -24. What is the least common multiple of r and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 63 = -23*x. Let b be 0\/(1 + 1) + 2. Let z be 2\/((b + 8\/x)*-3). What is the highest common factor of z and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1113 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 447\/15 + -370 + 339?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*i**2 + 1 - 10 + 9 - 2187*i**2.\nAnswer: -1591*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 88, 84, -78, -488, -1236?\n\"Answer: -15*m**3 + 56*m**2 + m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4655 - -4653. Which is the biggest value? (a) -0.2 (b) -3 (c) n (d) 0.0319\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16a5 + 1?\nAnswer: 16a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 3, -8, 71, -2, 0, -6.\nAnswer: -104, -8, -6, -2, 0, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 260\/5093, -4, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*h**4 + 12*h**3 + 34*h - 35?\nAnswer: 456*h**2 + 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02158883 and 1112644.\nAnswer: 1112644.02158883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7111.5 - 0.19?\nAnswer: -7111.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17317079*i**3 + 18*i**2 + 3*i + 7507?\nAnswer: 103902474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13199 and 394?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 7*m**2 + 10*m + 94. Determine l(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/836729443 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 225*w**2 + 755*w + 28536. Determine k(221).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/25*2935\/(-2348)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g - 4 = 0. Let p(c) = c**3 + 9*c**2 + 9*c - 17. Let n be p(-7). What is the greatest common factor of g and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.47 times 0.04?\nAnswer: -1.4988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -121502 + 242998 + 10*w - 121505. What is o(7)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3591 + -3340. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1619794874?\nAnswer: 2, 1721, 470597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221 (base 3) to base 4.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11102111101221 + 221?\nAnswer: 11102111102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 1. Let y(z) = 2*z**2 + 16*z - 3. Let w(j) = -3*t(j) + y(j). What is the second derivative of w(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*v + 5241, l = 4*v - 5*v + 2620. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 6:38 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.68 + -0.23. Let u = -0.44983 + r. What is u rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 606849263134 from -0.6.\nAnswer: -606849263134.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b2f - 0?\nAnswer: 3b2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**(10\/9)\/z*z*z**(-17) assuming z is positive.\nAnswer: z**(-125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 19*l**2 + l + 1. Let b be w(-1). Let o = -15 + b. Solve -3*x - 11 = -2*s, 0*x - 13 = -3*x - o*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1 - -5 - 15557\/2209)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 8*q**2 - 2*q + 1. What is u(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 0.5, 1\/4278, 538?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 25, 1.442?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1. Let b(x) = x + 2. Let n(j) = b(j) - 4*w(j). Let u = 175 + -170. What is n(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 49530*j + 297108.\nAnswer: 2*(j - 24759)*(j - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -414, -1495, -2576, -3657, -4738, -5819?\n\"Answer: -1081*b + 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784) + (sqrt(784) - (sqrt(784) + (sqrt(784)*2 - sqrt(784)) + sqrt(784)) - sqrt(784)))\/(sqrt(48)\/sqrt(150)).\nAnswer: -70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4311407*l + 3458638 wrt l?\nAnswer: 4311407","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23366 - -15449. What is b rounded to the nearest one hundred?\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132542138 to the power of 1\/2, to the nearest integer?\nAnswer: 11513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12212 (base 4) to base 3\nAnswer: -120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 15*x + 257. Let n be a(-17). Sort 14, n, -5.\nAnswer: -5, n, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 7657*t + 728591. Give z(-94).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2120 is divided by 192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4451696.00000036 - -4451697.1. Let v = -1.1 + k. Round v to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1202886 and 16218.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-103567.\nAnswer: 724969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 47520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49742 and 76.\nAnswer: 99484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 529 - -278. Let a = -1194 + l. Let s = 386.999829 + a. What is s rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-20)*(-8)\/(-6). Let u(a) = -5*a**2 + y*a - 9*a**2 + 8*a**2 - 1. Calculate u(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.0432728.\nAnswer: 0.216364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 596763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -2. Let m = q + 4. Suppose 10 = 3*d - 5*u - 4, 4*d + 4*u = 40. What is the highest common factor of m and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6301829356 to the nearest integer?\nAnswer: 1847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/28)\/(-3)*(-1)\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, w: 2}. What is prob of picking 2 d?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -817\/9, 0.3, 0.2 in ascending order.\nAnswer: -817\/9, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/7 + 561044*y**3\/7 - 39355271922*y**2\/7 + 179848264640*y - 1438621990400 = 0. Calculate y.\nAnswer: 16, 140245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1253 + 3?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17.3076297 and -72.\nAnswer: -89.3076297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, b: 4, j: 3}. What is prob of sequence uj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -178.52 + 179.52. Let r = -2.7 + 3. What is the nearest to x in -0.5, -0.1, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/2)\/(((-39)\/3)\/26).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 224*g**5*t**3 + 189*g**3*t**3 + g**2*t**3 - 434*g*t**3 - 24*t wrt g?\nAnswer: 13440*g**2*t**3 + 1134*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpp when three letters picked without replacement from {p: 3, v: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60278244 and 2028.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -503, -3764, -7025, -10286, -13547?\nAnswer: -16808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37625 and 8729?\nAnswer: 1091125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16316407 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 571782811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 643904659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -44, -109, -232, -431, -724, -1129, -1664?\nAnswer: -2347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4649576227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 2. Let n(m) be the third derivative of 0*m**3 + 19*m**2 + 0 + 1\/24*m**4 + 0*m. Let y be n(4). Calculate q(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, r: 2, c: 3, t: 2, i: 1, g: 3}. What is prob of picking 1 u, 1 t, and 2 r?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -248*y**6\/3 + 215*y**3\/2 + 3*y**2\/2 + 1447*y - 2. Find the second derivative of u(w) wrt w.\nAnswer: -29760*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - b**2 - 5*b**3 + 3*b**3 - 9*b**3 + 5*b**3 - 5*b**3 + (-10*b**2 - 34*b + 34*b)*(-2*b - 2*b + 3*b) - 11*b**2 - 2 - 2*b**3 + 11*b**2.\nAnswer: -2*b**3 - b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 613292?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 4*m + 9592, 3*m = -15*t + 18*t - 7176. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6119 (base 10) in base 16?\nAnswer: 17e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 5*b - b)*(-2 + 3 + 11) to f + q*b and give q.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -161.9569 and -965.\nAnswer: -1126.9569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -2421\/40 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3470*c + 1509. Is w(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 15 - 4*v + 0*v.\nAnswer: -4*v - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 13 = -3. Calculate the remainder when 4 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) -1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 7:01 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 6*x**3 + x**2 - 6*x.\nAnswer: -x*(x - 6)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*b + 2. Suppose 5*c + 580 = 5*y, -b*c = 5*y - 2*c - 556. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 148407\/(-7067)*6\/3*2\/3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 32. Let g = -8 + 2. Find the common denominator of j and (-4)\/g*(-117)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 101\/(-4) - 2\/(-8). Let w = z - -29. Solve -w*b + 2 + 2 = -2*s, 0 = -3*b - 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 8*h - 106 = 0. Suppose 5*m + 0*k - h = 3*k, k = 3. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - r - 2. Let n(i) = -4*i**2 - i. Let x be n(-1). Let j be y(x). Suppose 0*p + 2*p = 3*f - 115, -j = -f - 5*p. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 12 - ((-254709)\/2275 - -123)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 105*f + 407. Let g be q(-4). Let j(u) be the first derivative of 0*u + 4\/9*u**g - 4\/3*u**2 - 2 + 1\/3*u**4. Solve j(z) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*w**3 - 167*j*w**2 - 3*j + 2*w**5 + 99*w + 1 wrt w.\nAnswer: -12*j*w - 334*j + 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (260\/16)\/13*(-3 - -7) - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alzzzzaazfalayzylby. Give prob of sequence zzyl.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266584 and 51350743.\nAnswer: 410805944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j. Let f = 3448 - 3448. Let s(q) be the second derivative of 0*q**2 - 7\/3*q**3 + f + 11*q. Give y(s(b)).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u + 11*u - 2*u**3 + 8*u**2 + u**4 + 3 - 7*u**2 in the form p*u**2 + l*u**4 + c*u**3 + y + i*u and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 w when three letters picked without replacement from wwnnncccwnwwnnnwccc?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12 = 5*w, 3 = -2*c + 4*w - 29. Which is smaller: -34\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.075 - 11.34707099621.\nAnswer: -11.42207099621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-27) + 1)\/1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h + 141. Let q be o(9). Suppose 7*n - 76 - 533 = 0. Is n > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 - -62. Let u = q - -33. Solve w = -u*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -525, -1050, -1575, -2100, -2625, -3150?\n\"Answer: -525*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7997970?\nAnswer: 2, 3, 5, 266599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -28, 1, 0, 9, -102, 2 in ascending order.\nAnswer: -102, -28, -1, 0, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (4 - (-16 + 40 + 11))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*k - 222*k + 624798 = 72*k. What is the least common multiple of 674 and k?\nAnswer: 6066","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*t = 5*j + 607, t = -4*j + 178. Suppose -t = 3*q - 20. Let y = q - -125. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 6*y - 38 = 12*a - 5*y + 17*y, -y = -2*a - 23 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/430 and 87\/182836.\nAnswer: 914180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 33313?\nAnswer: 33315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18589484 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*p = -4*p + 9, -4*p = 3*q + 8. Solve 3*j + 2*w + q = -8, 0 = -5*j - w - 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -15*q + 190238609. Let w = q + -8794419. Round w to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-15) + (-6)\/15. Suppose 5*f + 18 = 8*f. Suppose -f = m - 3*m. What is the third smallest value in -8\/5, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1291 divided by -39\nAnswer: 1291\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 8. Let i be w(-8). Let q(f) = i*f - f - f. Let u(c) = -94*c**2 - 100*c**2 + 189*c**2. Calculate q(u(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*y + 1 - 12, 5*x - 10 = -5*y. Let t be y\/5 + 7504\/20. Let k = 145 - t. What is k rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2 - 657*z + 1410. Does 183 divide m(153)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 1044*f**3 - 296*f**3 + 33*f**2.\nAnswer: -1340*f**3 + 30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1065*i - 5621*i + 2455*i - 6096*i - 833*i)*(2*i - 7*i + i).\nAnswer: 36120*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkhkkqkhqkhqkkkq. Give prob of picking 1 k and 2 h.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120804573*w + 120804573*w + 10*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1090 and 654.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 10*n**2 + 3*n**2 + 0*n**2.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 32*s + 78. Calculate the lowest common multiple of q(30) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12515 or 11833?\nAnswer: 11833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56043, -56367, -56693, -57021?\nAnswer: -57351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -443 and -4.3.\nAnswer: -447.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2067675221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + -6)\/(14 + -15). Solve w*q - 9 = -0*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 381243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -46992000 to the nearest one million.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -199 greater than or equal to -539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*t*u**2 - 7*t*u + 2*t + 38*u**2 - 2*u - 218 wrt u?\nAnswer: -74*t + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1783628 and -31\/12320.\nAnswer: 71345120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5)*r)**(1\/8)*r**1\/r**(1\/6))\/((((r*r\/(r**1\/r))\/r)\/r)**(1\/6)\/(r**4\/(r\/(r*((r*r**2)\/r)\/r)))) assuming r is positive.\nAnswer: r**(721\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 10 = c - y, -5*y + 26 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 1. Suppose 2*n + 4 = 8. Let x(i) = -37*i**n - 41*i + 13*i**2 - 4*i**3 + 2 - 23. Let g(h) = x(h) + 5*y(h). Suppose g(k) = 0. What is k?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Let a be 0*(0\/3 + -1). Suppose a = -5*g + 5. Solve -2*q + 6 = -5*z, -2*q + 5 = r*z - g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 18*f - 284. Let p be i(16). Suppose 0 = -p*z - z + 4*t + 20, 3*z - 20 = 4*t. Factor 8\/9*r**2 + 2\/3*r + z + 2\/9*r**3.\nAnswer: 2*r*(r + 1)*(r + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 4660?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 506020015*b**3*d - 350255147*d wrt b.\nAnswer: 1518060045*b**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 15 + 95\/4*w**2 + 5\/4*w**4 - 315\/4*w**3 + 110*w + 35\/4*w**5 = 0. What is w?\nAnswer: -3, -1, -1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1122901*b**3*x**2 - 90*b**3*x + 786*b**2*x - 354952*b*x**2 wrt b.\nAnswer: 6737406*x**2 - 540*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2. Let c(a) = -3*a + 36. Let w(q) = -c(q) + 18*y(q). Let s(d) = 27*d. What is w(s(u))?\nAnswer: 81*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -279 - -279. Factor 4\/9*u**2 - 2\/9*u**3 + q - 2\/9*u.\nAnswer: -2*u*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/20)\/((-12)\/10). Suppose 0 = b - 3*p - 10, -70*b + 75*b - 3*p - 26 = 0. What is the nearest to 0 in b, -1\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 30. Let f = 23 - d. What is the third biggest value in -0.4, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 320495, 1281688, 2883683, 5126486, 8010103, 11534540?\n\"Answer: r**3 + 320395*r**2 + r + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787898.\nAnswer: 2, 3, 7, 42569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.4 - 2.1. Let b = 8.7 - 8. Let g = w + b. What is the smallest value in g, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 160. Calculate the lowest common multiple of 6 and z.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8467032.\nAnswer: 2, 3, 7, 101, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20451 (base 10) in base 11?\nAnswer: -14402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/60 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4458639016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -93*z - 3. Let o be m(-1). What is the greatest common factor of o and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61969939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 305414367.9999934 - 305414399. Let w = 31 + m. What is w rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 + 0*h + 0*h + (-2*h**2 - 2*h**2 + 2*h**2)*(3*h - 5*h + h) + (0*h**2 - 5*h**2 + 3*h**2)*(2 + 3 + 3)*(h + h + 0*h).\nAnswer: -27*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 2*r + 2. Calculate the remainder when 2137 is divided by r.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 2*q + 6. Let b be r(-10). Let o be b\/12 + 51\/18 + -3. Which is smaller: 5 or o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 7*u**3 - 2*u**3 - 73.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 9:45 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.17. Let k = -4.03 + l. Let x = 1.2 - 1. Which is the third smallest value? (a) k (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = -86. Suppose -2*k = -7*k + n. What is the remainder when 61 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20751.355 times -0.3?\nAnswer: 6225.4065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*((-3)\/(-3) + 1). Factor 72*a - 72*a + a**d.\nAnswer: a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20639?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:24 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2624*f**2 - 65*f + 9?\nAnswer: -5248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*w + 32*w - 102 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a. Let h(t) = -5*t. Let u(x) = -h(x) - 4*z(x). Let i(c) = -5*c. Calculate u(i(q)).\nAnswer: -45*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*(-2*sqrt(833) + -4 + 3)*-5 + 1)**2.\nAnswer: 43680*sqrt(17) + 5332721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1091*s - 922*s - 3505*s + 42*s - 181*s as l + b*s and give b.\nAnswer: -5657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(1716\/(-297))\/((-2)\/3). What is the first derivative of -2517*l + 2517*l + 121*l**4 + f wrt l?\nAnswer: 484*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 139*w - 12. Let z(d) = -185*d + 11. Let i(l) = 4*m(l) + 3*z(l). What is i(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4516 + -4552. Which is the nearest to d? (a) 25\/3 (b) 2\/9 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341 (base 8) to base 16.\nAnswer: e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f + k = 3, 0 = -5*f - 5*k - 10. Which is bigger: f or 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 3*m - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**37\/(v*v**(-7\/8)*v) assuming v is positive.\nAnswer: v**(287\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u = 11 - 286 - 11 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -39. Suppose 5*y + 0 - 5 = 5*o, z*y - 11 = o. What is the third derivative of -7*p**4 - 13*p**o + 30*p**4 + 16*p**2 - 8*p**4 wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = 2*c - 777. Let s = c + -459. Calculate the greatest common divisor of s and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 12*w**2 - 2*w - 1. Let t be m(1). What are the prime factors of 11565\/30*12\/t?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -138*r - 7. What is the tens digit of m(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 6*m = 4*a + 10, -3*m + 2*a = -80. Suppose 0 = -5*s + 2*k + 6 + 34, -5*s = -3*k - 40. Calculate the remainder when m is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -1\/24*u**4 + 0*u + 0 + 11*u**2 + 0*u**3. Let k(b) = 20*b**2. Give k(q(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*p - 137, -9 = -c + 4*c. Suppose -3*z - p = 2*z. Put 4, z, -3 in descending order.\nAnswer: 4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -7. Let r be (h\/(-2) - 1)\/(3\/(-30)). Suppose r*d - 98 = 33*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 19 - t**2 + 2*t**2 as i + c*t + o*t**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33321133102 - 1033?\nAnswer: -33321200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 7*s - 2*s + 2747, -3*i - s = -2759. Let l = -561 + i. Suppose u = 4*h - l, 188 = 2*h + 3*u + 16. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1258393.8ms?\nAnswer: 20.97323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 28*h - 527. Calculate the remainder when v(19) is divided by 4\/14 + (-10)\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 35778 = -21764. What is the remainder when m is divided by 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3906\/(-115661))\/((-3)\/(-13))\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 849430 and 22?\nAnswer: 9343730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, j: 5, p: 2, l: 2}. What is prob of sequence jttt?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/450 and -31\/240.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 72*((-20)\/(-15) + 0). Suppose -5*p = -k - 64. What is the smallest common multiple of p and 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-1)\/(-2) + 865\/346. Solve -t + j*t + 6 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 + -89. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25322620.\nAnswer: 2, 5, 107, 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10419 - 375043\/36. Suppose 4*t - 754 - 38 = 3*j, -528 = 2*j + 4*t. What is the common denominator of o and 4\/6 - 340\/j?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*y - 53*y + 3*i + 103, -2*y = -3*i - 47. Calculate the greatest common divisor of y and 1848.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 1)*(9985\/2)\/((-151)\/302). Which is bigger: -9986 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 292966\/2568 - (-13 - (-157)\/12).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -68*u**2 + 21648*u + 115. Let k(j) = -6*j**2 + 1968*j + 10. Calculate -23*k(l) + 2*n(l).\nAnswer: 2*l**2 - 1968*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 484255 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*(-16)\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/5 - 28*t - 144\/5.\nAnswer: 4*(t - 36)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -991, -3312, -7829, -15274, -26379?\nAnswer: -41876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 112?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1067*r**3*z + 771*r**3 - r**2 + 3*r*z + 64*r - 124*z - 8 with respect to z.\nAnswer: -1067*r**3 + 3*r - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -189 + 181. Let t(g) = -23*g - 113. What is the units digit of t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*v**3 - 83*v**3 + 35*v**3 + 4*v - 4*v.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**2 - 108*n + 491. What is r(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 293*a**3*l + 6*a**2*l - 38*a*l wrt a?\nAnswer: 1758*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 556127623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1397 = 173*t + 1025 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 491 + -341. Suppose -3*h = -5*f + d, 5*f + 3*h - 180 = -0*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081.63377 microseconds in weeks?\nAnswer: 0.000000001788415625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3838*j - 13112. Let m be g(5). What is m rounded to the nearest 100?\nAnswer: -32300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/577 + 3445\/9809. Factor b - 2\/17*p**3 - 14\/17*p + 10\/17*p**2.\nAnswer: -2*(p - 3)*(p - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/864 and -61\/1824.\nAnswer: 16416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28 (b) -1 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1319 - 1293. What is the greatest common factor of u and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -49*p - 267. Let n be y(-6). Which is the biggest value? (a) 0.4 (b) n (c) -4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4471*r - 248372 = -173*r - 292*r for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12.1596*0.8\nAnswer: 9.72768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/11 equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3741 = 31*f + 98*f. Solve 2*r - 3*u = 8 - f, -27 = 4*r - 3*u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 742 + -34876\/47. Suppose 5*o - o - 12 = -2*l, 2*o = 3*l - 2. Suppose -2*h = -2*f + o, 3*f = h - 5*h - 4. Are h and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-520)\/132 + (14 - 43) + 13 + 20\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2546*h - 2539*h = -75, 3*q + 4*h + 157 = 0 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 4, 15, 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-15))\/(2\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 - 271 - 273 - 79 - 280 + 903 + 6*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*f + 93 = -39. Solve -4*y - 20 = 0, z - f = y + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1080 is divided by 430.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 3960?\nAnswer: 3960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-156))\/(9\/12)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85.7 - -86. Let h = 1.3 - n. Let x(w) = w**2 - 2*w - 2. Let a be x(2). What is the second biggest value in h, 5\/3, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 959\/(-137)*-1*16979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9896424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 16. Let f be w(-8). Does 26 divide 127\/(0 - (2 + -3 + f))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3791.\nAnswer: 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5965a (base 14) in base 6?\nAnswer: 4401224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 5 = -p + 5, 20 = 5*z - p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 340?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 539\/56 - (-2)\/(-8) and -79\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, f: 1, v: 11}. What is prob of picking 2 v and 2 u?\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06567 + 0.0663506. Round z to 5 decimal places.\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - f. Let i(w) = 8*w**2 + 4*w. Determine i(s) + 4*l(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (710 - 22*f**2 + 24*f**2 - 2341*f - 707)*(0*f**2 - f**2 + 2*f**2).\nAnswer: 2*f**4 - 2341*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10030\/286147 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*x - 25. Suppose l = -4*l + x. Let y(q) = 62*q**3 + 2*q**2 - 3*q + 2. What are the prime factors of y(l)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 11 + 17 = 0. Let d(k) = k**2 + 7*k + 7. Let s(a) = -a**2 - 8*a - 8. Suppose 3*l + b - 23 = -l, 8 = 2*l + 4*b. What is l*s(n) + w*d(n)?\nAnswer: n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-5 + 3) - (18 + 3). Let l = 22 + u. Suppose 0 = -l*t + 267 + 158. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63342.41l to millilitres.\nAnswer: 63342410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3206*0.3.\nAnswer: 961.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 13 + 1 + -296 + 638 + -347?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 76*i - 89. What is the tens digit of d(35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30015 - 3?\nAnswer: 30012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -7. Suppose 4*y - 11 - 9 = 0. Let c(v) = 6 + 4 - y - 3*v. Calculate c(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3741 and -4220237.62.\nAnswer: -4216496.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - 24255 = 14*y. What are the prime factors of y?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10452251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 13*j = 46*j - 5530800. Round j to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -8*z - 19. Let c be n(-3). Suppose c*r - 24 = r. Suppose -80 + 242 = r*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/11 and -46\/145.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -197*s + 1097*s + 684*s + 945*s as o + c*s and give c.\nAnswer: 2529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p - 5. Determine b(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -1\/72*b**4 + 1\/360*b**6 + 0*b - 1\/36*b**3 - 2*b**2 + 0 + 1\/360*b**5. What is k in c(k) = 0?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4)\/(4\/8). Let w(a) = 11*a - 2*a - 2*a - 1. Calculate w(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(4*-2*sqrt(520) - sqrt(520)))\/(sqrt(250) + 1*sqrt(250) - 2*(sqrt(40)\/sqrt(4) - sqrt(10))))**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*m + v, 2*m + 3*v + 4 + 0 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -7*k**6\/60 - k**4\/12 + k**3\/6 + 9*k**2. Determine c(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15765, -25847, -35929, -46011, -56093?\n\"Answer: -10082*b - 5683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/30 + (-800)\/1000.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -24*j**2. Suppose 5*a = -2*y + 163, 2*a + 3*a + 4*y - 161 = 0. Let b(r) = a*r + 33*r - 65*r. Determine i(b(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 5*y**2 - 5*y - 2. Let l be p(-4). Suppose -l*t + 6 = -t. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37128 and 1972.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**4\/12 - 10*i**3\/3 - 33*i**2\/2 + 14*i. What is the remainder when 87 is divided by u(-17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -87021, -174019, -261017, -348015?\n\"Answer: -86998*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14298\/5 or -2859?\nAnswer: -2859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452368, -451430, -450492, -449554?\nAnswer: -448616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3397 is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 5. Suppose -3*i + 15 = 5*c - 2*c, -g*c = -20. Suppose 5 - i = s. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51\/((-26061)\/(-73)))\/(54\/(-28))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13\/114 - -1\/19. Let r = -0.13 + -2.07. Let q = 2 + r. What is the closest to -1 in q, m, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -344373 divided by -167\nAnswer: 344373\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - u + 2*u)*((-4*u + 0*u + 6*u)*(-u - 1 + 1) + (5*u - 3*u - 4*u)*(-73*u - 68*u + 9*u) - 2*u**2 + 9*u**2 + 2*u**2).\nAnswer: -542*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -194211 divided by 27\nAnswer: -7193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 7. Let f(h) = -32*h**2 + 5*h + 47. Let w(u) = -f(u) - 6*m(u). Let y(t) = -273*t**2 + 52*t + 52. Calculate -52*w(c) - 5*y(c).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1932 + 1932. Solve a*o - 4*o + 23 = -g, -2*g - 2*o = -4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -11.32284797419?\nAnswer: -11.12284797419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 56 + (443 - 494).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003868 rounded to 5 dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1483 - 3*d**2 + 2087 - 1748 to the form a*d**2 + j*d + f and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 28. Let o(n) = -19*n. Calculate o(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2450 + 2483. Solve 0 = -x*a - 73 - 26 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98284802.\nAnswer: 2, 7, 11, 37, 47, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142*v + 170*v - 99*v)*(2*v - 2 + 2).\nAnswer: 426*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 1269*g = -1284*g + 40, 5*i - 2 = g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 7:54 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 29262465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 879 times 0.31?\nAnswer: 272.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - f + 0 + 4 - 7.\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**6\/540 + 2*n**5\/135 + n**4\/27 - 19*n**2\/2 + 24*n. Let q(i) be the first derivative of t(i). Factor q(p).\nAnswer: 2*p*(p + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 34*l**2 - 32*l - 28. Let n be y(33). Suppose n*k - 2*q - 1360 = 0, -525 = -2*k - 2*q - q. What is k rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859596 is divided by 237.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/11869 + -438844\/1222507. What is the common denominator of x and -53\/5?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -443, -1104, -2057, -3302, -4839?\nAnswer: -6668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, 2.5, -2\/3 in ascending order.\nAnswer: -2\/3, -0.2, 1, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2297, 4421, 6375, 8159?\n\"Answer: -85*a**2 + 2379*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21172 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -169*-0.7\nAnswer: 118.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 1. Let s = 11\/10 + -3\/5. Let t = -66 - -65.8. Which is the closest to 1\/3? (a) t (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13787, 8, 1, 0 in descending order.\nAnswer: 8, 1, 0, -13787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4, 49, 2, 3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*p**3 - 559*p**3 - 172 + 281*p**3.\nAnswer: p**3 - 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a decade?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvwvvvddoddovodovv. What is prob of sequence vv?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2030, -2033, -1998, -1907, -1742, -1485?\nAnswer: -1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9651 is divided by 1681.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c + 10 = 0. Suppose -g + 2*g - 2 = 0. Find the third derivative of 2*x**4 + 0*x**4 + 0*x**2 + c*x**g wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 125301 in ascending order.\nAnswer: -5, 2, 125301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.36 + 0.04. Suppose 2*x + 2*x + 12 = 0. Let h = -1.7 + 4.7. Put x, c, h in decreasing order.\nAnswer: h, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(143) + sqrt(143)*2*-4)\/sqrt(11) + 1)**2.\nAnswer: -14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2849.338 - 2853. Let j = v + -0.338. Which is smaller: j or -0.06?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-72)\/30)\/(3\/(-110)). Suppose -t - 61512 = -4*r. What is r rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 640 - 642. Let b be 4 - (-4 + (-84)\/(-10)). What is the second smallest value in b, z, 2, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*x**3 - 14*x**2 - 12*x + 13474 wrt x.\nAnswer: -21*x**2 - 28*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 241805\/8 - 30226. What is the biggest value in 3, -1, 2, p, -8\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 185.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -315, -313?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 11*m + 17. Let z be h(5). Let p be 2\/9 + 2*532\/z. Solve 5*g = -0*g + p, 4*f = 5*g - 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = -3. Let o(f) be the second derivative of 11*f**4\/6 + 2*f**3\/3 - f**2 + 104*f. What is the lowest common multiple of 28 and o(g)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37414, -32780, -28160, -23560, -18986, -14444?\n\"Answer: -n**3 - n**2 + 4644*n - 42056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-172)\/(-8))\/((-3)\/(-6))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 250*n**6 - 3*n**2 + 128544*n**5 - n + 656*n**6 - 580 - 128546*n**5 wrt n.\nAnswer: 108720*n**3 - 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229157.\nAnswer: 229157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 11 - (-5 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-8 + 5)*-3. Let v be -1 - 5*-72 - -1. Suppose 2*r = p*r + 3*j - 100, 4*r - v = -2*j. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:44 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-1)\/((-18)\/198) - -34\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 + -357 + -70 + (4 - 3)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 2*s. Suppose -5*z = 4*u - 457, s*u = z - 4*u - 101. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = 9. What is the units digit of i - ((-7 - -2) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -1, 16, 1.\nAnswer: -1, 1, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 30*v**2 - 27*v + 60. Let a be p(-29). Find the second derivative of 17*w**5 + 14*w**5 + a*w**4 - 2*w**4 + 3*w wrt w.\nAnswer: 620*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, t: 9, y: 3}. Give prob of picking 1 j and 2 y.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 110, 119, 138, 167, 206, 255?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 14*i**2 - 11 + 21.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m + 5*m + m + 6*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 x when four letters picked without replacement from {p: 2, k: 4, i: 3, w: 1, x: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 130382 (b) -0.5 (c) 1\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1543, -1525, -1473, -1369, -1195, -933, -565?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300, -590, -864, -1116, -1340, -1530, -1680, -1784?\nAnswer: -1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2851, 4400, 5947, 7492?\n\"Answer: -n**2 + 1552*n + 1300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 222.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 86 = -4*d - 166, 5*d + 122 = 3*c. Suppose l + 5*g = 36, l = g - 4*g + c. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378624275?\nAnswer: 5, 23, 658477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j - 6. Suppose 33*h - 30*h = 24. What is the lowest common multiple of i(6) and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/26)\/((4\/2)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321789437 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30200231 (base 4) to base 2\nAnswer: 1100100000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 2121032?\nAnswer: -2121041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 157 times -0.038\nAnswer: -5.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 19*y + 75 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 + -163. Suppose 16 = 4*i + 4*h, 2*i - 3*h = -3*i + 52. Calculate the least common multiple of (-5)\/((-10)\/(-6)) - s\/6 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r + 80. Let i be 12*(r\/6 - 3). Let o(l) = 3*l + 9. What are the prime factors of o(i)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1 - (59 - 48)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -12. Suppose a*d - 215 = 160. Suppose 3*v - d = -0*v. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*o + 3*o - 4 = 0, 0 = 4*x - 5*o + 18. Let f(g) = 7*g**2 + 2*g + 3. List the prime factors of f(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19824 divided by 4.\nAnswer: -4956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20032 + -320033?\nAnswer: -1000131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 1 + 0 + -2 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-4) - 0)\/1 + -4. Let q be 5*(u\/(5\/4))\/(-4). Let g(c) be the first derivative of c**4\/4 - 5*c**3\/3 - 3*c**2\/2 - 53. What is g(q)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + m + 2*m)*(-15 - 3 - 5 + (1 - 1 + 2)*(7 - 7 + 9))*(6 - 3 + 1).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + sqrt(4)\/sqrt(2) - -1*(-3 + sqrt(2))))**2.\nAnswer: 32*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1161 - 0?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(729) + sqrt(729) + 1*(sqrt(729) - sqrt(729)*-4) + sqrt(729))\/((sqrt(27) + sqrt(432))\/sqrt(9) - (sqrt(3) + sqrt(3) + (sqrt(36)*-1)\/sqrt(12))).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4076, 4085, 4108, 4151, 4220, 4321, 4460, 4643?\nAnswer: 4876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 - 6*y - 8. Let r(q) = 3*q**2 + 6*q + 9. Let j(u) = 6*o(u) + 5*r(u). Find d such that j(d) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 3b3?\nAnswer: 3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 742450 and 234670.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 10 + -5 - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44929*m**2 - 87505 wrt m?\nAnswer: 89858*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 4 + sqrt(44)\/sqrt(4) - (5 + sqrt(44)\/sqrt(4))) + 2)**2.\nAnswer: 2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 8*r = 0. Suppose r = -2*b + b + 48. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -3*y**3 - 5*y**2\/2 + 5*y - 1. Let s(l) = 8 - 13*l**2 - 7*l + 6 - 15 + 8. Give 7*d(o) - 5*s(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-1 - -4)*(-19 + 1241\/51)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73573*q = -71309*q - 97352 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 0*q - 4*q)*((-118*q - 129*q + 41*q)*(-14 - 8 - 5) - 3*q + 4*q - 2*q) to o + p*q**2 + a*q and give p.\nAnswer: -11122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0949 and -3.2.\nAnswer: -0.30368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6891204mm in micrometers?\nAnswer: 689.1204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*j + 70. Suppose f - 2*f + 5 = 3*x, x = 3*f - j. What is the highest common divisor of 44 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63645960\/71 < -896423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -54, -3 in increasing order.\nAnswer: -54, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 0)*(3 - 8 - 1)*(3*c**3 - 3*c**3 + c**3)*(-3*c + 5*c - 4*c) to s*c**4 + y*c**2 + t*c + o + r*c**3 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 82. Let f(m) = -m - 55. Let l(g) = 8*f(g) - 5*h(g). Let n be l(15). Let i(z) = z**3 - z**2 - 8. Give i(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 12:08 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) - 10\/16. Let c = -0.36 + 0.26. Let s = -1.94 + -0.06. What is the second smallest value in c, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49947, -49860, -49707, -49482, -49179, -48792, -48315?\nAnswer: -47742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, d: 1, g: 1, o: 2}. What is prob of sequence eog?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/22)*i)\/(i*i**(5\/2)\/i)*((i\/(i\/(i\/i**(-4\/15))))\/i*i)**(2\/121) assuming i is positive.\nAnswer: i**(-787\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*sqrt(1900).\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30147206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 1, e: 4, i: 1, z: 1}. Give prob of picking 2 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 44615792?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -17 + 20 - 7 - 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-294)\/(2058\/21)*(-62)\/(-3)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57137992.\nAnswer: 2, 353, 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -12. Suppose 108 = x*f + 42. Calculate the remainder when f is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 12:20 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7216, -7205, -7194, -7183, -7172?\n\"Answer: 11*c - 7227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 + (69 + -95 - -36).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.96 - 25.04. Let u = -42 - -69. Let q = u + f. Which is the smallest value? (a) -4\/5 (b) q (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -390218 or 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 946\/33)*(-1953)\/31.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 0*f. Suppose 3*m - 6*m + 6 = f. Suppose m*k - 5 = -1. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 11*f + 11. Let w be c(-10). Solve w = 4*v + 5*q - 8, 3*v = 5*q - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8147, 32579, 73301, 130313, 203615, 293207?\n\"Answer: 8145*u**2 - 3*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124 + 26606?\nAnswer: 26452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -63. Let x = 0.1 + -30.1. Let s = 28 + x. What is the nearest to -2\/9 in n, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041221417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = -5*t, -16 = -4*h + 4*t. Let y(v) = -v**2 - 6*v + 1. Let s be y(-6). What is the first derivative of -1 - 2*g - s + h wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*p + 30. Let d = p + -34. What is the lowest common multiple of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (195\/75 + 1 - 7)\/(3\/(-15))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x**3 - 3*x**3 - 6*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2138*x + 66 - 66 - x**2.\nAnswer: -x**2 - 2138*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308122.4ug to grams.\nAnswer: 0.3081224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20848 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.74 - -26.54. Let r = 0.7 + 0.3. Sort 3\/7, -1, r, k.\nAnswer: -1, k, 3\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/6 and -81\/406?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 5*s - 6*s. Suppose -n - 4*n + 5*d = -2630, s = -4*d + 20. Suppose -n = -0*u - 3*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5210 - 5210 + 54*v. Let q(f) = -2*f. Calculate x(q(o)).\nAnswer: -108*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t + 6*t - 190 = 5*b, 0*t - 4*t = 5*b - 14 + 84 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192565 and 6289.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 8 = 3*j, -6*j + 4*q - 2 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 8*v + s - 320 = 8*v - s, 2*s - 125 = 2*v - 99 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 55 = 13*b - 17*b + 9*b - 10*t, 8 = -4*t for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1. Which is the closest to -4? (a) v (b) -4\/3 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 - 7*h**2 + 2*h + 2. Let m(u) = -2*u**3 - 6*u**2 + 2*u + 2. Suppose 0 = 2*x + x - 3, r + 5*x + 1 = 0. What is r*o(t) + 7*m(t)?\nAnswer: -2*t**3 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18\/1159 + -46594\/15067. Which is greater: f or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 30964 = -2*p + 30962, 0 = 3*p + 36*z + 69 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18640779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2163*j**2*o**3 - 19*j**2 + 2*j*o**3 + 10*j*o**2 - 101*j*o - 21*j wrt j?\nAnswer: 4326*o**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5614, 6410, 7206, 8002?\n\"Answer: 796*g + 4818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3523170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -17. Solve c = -4*y - y - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112088 and 22472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8605.11 - -8493. Let s = 109 + z. What is s rounded to one dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.067 + -9.333. Let u = 9.2 + z. Let q = -0.2 + 0.3. Which is the nearest to u? (a) -0.3 (b) -4\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*2\/4 + 3. Let m(u) = u**3 + 1 - w*u**3 - 6*u - 8*u**2 + 4*u**2 + 3*u**3. Give m(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*s = 41, 88*s - 87*s - 183 = -5*a. Solve a*o = 17*o + 120 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21329, -42645, -63959, -85271, -106581, -127889?\nAnswer: -149195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 683*x + 1460*x + 71278 + 8667 = -42206 for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -122601 + 4?\nAnswer: -122597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.0545 + 13.3685. Let p = z + -0.323. Let d = p + -14. What is the closest to d in 2\/11, 6, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -2*m. Suppose 4*n + 2*d = d + 31, -2*n - 4*d + 26 = m. Let f(b) = b**3 - 8*b**2 + 7*b + 10. Calculate f(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/112*15\/(-10)*24\/9.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*u**2*x**2 - 332*u**2 + 3*u*x**2 + u + 120*x**2 + 2*x - 7 wrt u?\nAnswer: -172*x**2 - 664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2767\/16 - -173. Let r(g) be the first derivative of 1\/24*g**6 - d*g**4 + 0*g - 6 + 1\/6*g**3 + 0*g**2 - 1\/10*g**5. Factor r(k).\nAnswer: k**2*(k - 2)*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50591794 or 50591793?\nAnswer: 50591794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30046 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9785 - 29*k + 65*k - 15*k - 19*k + 4897 + 4888.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 - 4*o**2 + 2*o**3 + 15*o - 10 - 3*o**2 - o**3. What is the remainder when k(10) is divided by (-2)\/(-4) - (-81)\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 46930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*l = 69*l - 15. Let d(c) = -c**2 + 3*c - 1. Let i(t) = t**2 - 2*t. Calculate l*i(y) + 2*d(y).\nAnswer: y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239 + 220. Sort 1, f, 0.3, -10.\nAnswer: f, -10, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 13. Suppose -5*c = -5*i + 4*i - 25, i + j = 4*c. Let l(s) = 12*s + 5 - 11*s - s**2 + 6. Determine l(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - t - 1. Suppose q + j = 0, -4*q + 4*j = -1 + 9. Let r(n) = -n**2 + 6*n - 2. Let v(k) = q*r(k) + 3*g(k). What is the units digit of v(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/154*7*4\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 9667960.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -288.5 (c) -3 (d) -46 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1100) - (sqrt(1100) + -1)) - (sqrt(1100) - -5*2*sqrt(1100))) + 0.\nAnswer: -110*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from {a: 2, m: 2, h: 1, l: 1, i: 2, o: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -6*t - 6. Solve 4*h - t = 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1) - 20\/(-28). Let t = 1536 + -1531. Sort t, -0.3, m, 22.\nAnswer: -0.3, m, t, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpkppkq. What is prob of sequence qp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 + 3*n**3 + 0*n**3)*(-3 + 3 - 3*n**2 + (-3*n + n + 4*n)*(-22*n + 64*n + 18*n) - 5*n**2 + 0*n**2 + n**2).\nAnswer: -226*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1 + (8 + 10 - 30)*(1 - 1 - 2))*(z + 2*z - z).\nAnswer: 52*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(176)*-2 - (4 + sqrt(176)*2))*-4)**2.\nAnswer: 45056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127904717 is divided by 1721.\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 4 + 4 - 2*n + 3*n - 3*n + (0*n + 5*n - 3*n)*(-2 - 2 + 2) + 4*n - 3*n - 3*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z. Let q(r) = -2*r - 157 + 157. Determine k(q(x)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -4) + 3\/1. Suppose -3*n + l = -1. Calculate the common denominator of 51\/20 and -1*n + (-49)\/84.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21654513 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 47, 4\/5, 0.05, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1235*t**2 - 7*t + 12. Let f(p) = -618*p**2 + 3*p - 5. Give 7*f(b) + 3*v(b).\nAnswer: -621*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d = -23*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10899 + 10846. Which is smaller: -48 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 141529 + -61478. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (36\/3)\/(3\/4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-2) - (2 - (14 + -5)). Suppose -4*m - 60 + 196 = 0. Suppose b*d - m = d. Calculate the remainder when 47 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.32\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, l: 1, h: 1}. Give prob of sequence lh.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*o + 4*b, 2*o + 8 = -66*b + 62*b for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419150 rounded to the nearest one thousand?\nAnswer: 419000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79 and 3669.\nAnswer: 289851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1 - 10 + 11 - m. Suppose -11 = -4*p - 7. Let d(g) = -4 + 2 + p + 0. Calculate 2*d(j) + q(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1392 + -1284. Calculate the smallest common multiple of d and 96.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-5) + 392\/520\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddmdddddmmmdm. What is prob of picking 2 m and 2 d?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5552, 11, 0 in decreasing order.\nAnswer: 11, 0, -5552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(25\/(-4)) + (-18959)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f + 41*f - 12 = 0, 3*o + 2*f - 631 = 0. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 + 103. What is the units digit of 967\/x*(-63 - -60)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.059 * 63.\nAnswer: 3.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 739468, 1479187, 2218906, 2958625?\n\"Answer: 739719*z - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 135, 267, 399, 531?\n\"Answer: 132*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 833 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: Collect the terms in -12 + 12 + 12509*x**3 - x**2 + 3*x**2.\nAnswer: 12509*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + -1 + (1 - -5). Let g(b) be the first derivative of 0*b + 2 + 1\/4*b**4 + o*b**3 + 3*b**2. Determine g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*d - 1085*k + 1089*k + 78 + 70, d - 3*k + 8 = 0 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3625, 7346, 11067, 14788, 18509, 22230?\nAnswer: 25951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2387 divided by 3\nAnswer: -2387\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) 9408 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6\/5, -36, -3, 8, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 731 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1*sqrt(1216) - sqrt(1216))*-4 - sqrt(1216))**2 + sqrt(1216) + sqrt(1216) + (1*(sqrt(1216) - (sqrt(1216) + -1)))**2*2.\nAnswer: 16*sqrt(19) + 1219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 19 + 59)*(24 - 20 + 46)*(5*d - 3 + 3)*(0 + 0 - d).\nAnswer: -2750*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-5) - (-294)\/(-30). Let p be (-24)\/f*6\/8. Solve -8 = -2*y + 4*t, 11 = -p*y + 4*y - 5*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 20 = 2*j, 3*j + 4*y = 41 + 11. What is the greatest common factor of 132 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1235, 1151, 1051, 929, 779, 595, 371?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-5)*2*6\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000685351464 to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 19*k**2 - 90*k + 10. Let y be r(9). Suppose -5*q + 2*x + 14 = 0, -2*x + y = q - 0*x. Solve 5*a = 4*h - 12, -5*h + 9 = -2*h + q*a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 17*u + 0 - 25001\/3*u**3 - 6*u**2. Let q be t(-6). Round q to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*u - 6, 0 = -w - 4*u + 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-2 + -3 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/3 - 14132*r**4\/3 - 49701409*r**3\/3 + 1605900190*r**2\/3 + 3360848084*r\/3 + 1705260616\/3 = 0 for r.\nAnswer: -7082, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 3*x - x**2)*(3*x + x - 3*x) - 2*x + 3*x**3 + 2*x - 11*x**2 + 17*x**3 + 7*x**2 + 5*x**2 as a*x**3 + v*x + n + h*x**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4 - 1598*a**3 + 2*a**2 + 12766*a?\nAnswer: -24*a**2 - 9588*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4 + 8613*p**3 - 199620*p**2 + 191004*p = 0. What is p?\nAnswer: -2894, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + x - 2828 = -2*x, -x = -4*d + 2259. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51219, 102437, 153655, 204873, 256091?\nAnswer: 307309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2306*f + 3 + 2304*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 14 = -4*f - 0*f, -3*f + 5*a + 14 = 0. Determine t, given that -25*t**2 - 8*t**3 + 35*t**4 - 45*t - f - 7 + 53*t**3 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p = 12. Suppose -3 = 3*m, -p*x + m - 3*m = 2. Let l be 1*(x + -2) + 5. Solve -8*z + l*z - 29 = -r, z + 17 = 3*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27318600 to the nearest 100000.\nAnswer: 27300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - 73483?\nAnswer: -73470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 14) to base 9\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.935 times -0.5\nAnswer: -1.4675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 6*y + 5*y)*(-3 - 1 + 3) - 2 + 2 - 5*y - 4*y + 2*y + 0*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*-2*(-3)\/(-6). Suppose 0 = -3*y + y + 3*g - 715, 4*g = -5*y - 1730. Is (x\/5)\/(20\/y) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1352635 and -177105.\nAnswer: 1175530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -854994 divided by 284998.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3600)\/(-27))\/(-8))\/(23*(-30)\/(-1035)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 1:19 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 150*y + 1919. Determine o(-14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4899960 divided by -180\nAnswer: 27222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + -67. Solve 2 = 2*d - b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*x*z**4 - 9*x*z**3 + 5*x*z + 3*z**4 - z**2 - 27 wrt z?\nAnswer: 696*x*z - 54*x + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -0.3 (c) 3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*n + 57, -4*n + 3*n + 57 = 5*u. Let l = u + -22. Let w(x) = -3*x - 23. What is the remainder when w(l) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 17*b**2 + 26*b + 113. What is i(-18)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1395)\/186*5500\/(-375).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32288233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + -987408?\nAnswer: -9873a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13657, -27203, -40655, -54019, -67301?\n\"Answer: -i**3 + 53*i**2 - 13698*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -274*z + 522*z + 394*z - 353742. Are -0.7 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/11 + (-8)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05152 and 0.11.\nAnswer: 0.05848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + r + 1. Let b(s) = 9*s**2 + 17*s + 7. Let z be (-5)\/2 + (-9)\/(-6). Let w(d) = z*b(d) + 6*q(d). Find the second derivative of w(l) wrt l.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 523 (base 12) to base 5.\nAnswer: 10442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 2*d**2 + d - 4. Let r(v) = 8*v**2 + 11*v**2 + 13*v + 3 - 3*v**2 - 3*v**2 + v**3. Let q be r(-12). Let g be ((-15)\/9 - -2)*q. Determine h(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62147 is divided by 30931?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129743142.\nAnswer: 2, 3, 21623857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 32*s**2 + 56*s + 52. Is 3 a factor of r(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-264)\/18))\/((-27)\/(-48))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327835509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.99 - 4. Let l be ((-6)\/8)\/(4\/(-64)). Let v be (-11)\/(-21) + l\/(-18). Which is the second smallest value? (a) z (b) 1\/9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1787*t - 119*t + 15174*t + 14565*t in the form b + f*t and give f.\nAnswer: 31407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7686394 - 6*s**2 - 7686394.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/63*-57)\/((-190)\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*n - 78. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-9) - 2\/6. Let g be t*4\/(-6) - 1. Let n = 2.4 - 2.5. What is the nearest to n in g, 3, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 315384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in -0.8, 3\/4, 6\/5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/4 - -3\/20. What is the closest to -1 in -2\/3, y, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 681*h**3 + 2*h**2 + 5*h - 13. What is the tens digit of k(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007871806 rounded to five dps?\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18*-1)\/3*-2. Calculate the greatest common factor of 132 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q + 7. Let v(i) = -i - 1. Let m(p) = 2*l(p) + 14*v(p). Let y(g) be the third derivative of g**5\/12 + 13*g**2 + 10*g. Give y(m(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39869\/23556 - -303\/151. Calculate the common denominator of -47\/76 and v.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22334\/3 <= -7445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:59 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*x**3 + 204*x**3 + 14*x**3.\nAnswer: 198*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*x - 79 = 66, -w = 3*x - 21. What is the remainder when w is divided by 6\/(2\/(-6) - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138680978 <= 138680978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, 15, 22, 29, 36, 43?\n\"Answer: 7*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 212 in -2, 3, 1\/3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5298 - -5259 - ((-2 - (0 + 0)) + -5).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**0*m*m)\/m))**(20\/9))**(-1\/49)*m**(-3)*m*m**0*(m**(1\/3))**(-12\/11) assuming m is positive.\nAnswer: m**(-26\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4410 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, 3, -192 in decreasing order.\nAnswer: 79, 3, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 120 = 18*x. Suppose s - d = -5, -13*s - d = -15*s - x. Let k(m) = m**3 + m**2 + 4. Give k(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7485128 kilograms to micrograms.\nAnswer: 748512800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -659*t - 13243. Calculate m(-20).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 0*f + 1\/2*f**2 - 67. Let s(h) = -13*h**2. Calculate i(s(a)).\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 25. Let a(i) = i**2 + 2*i - 4. Let y = -59 - -48. Let o be a(y). Calculate the highest common divisor of o and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 986, 3826, 8496, 14972, 23230, 33246, 44996?\nAnswer: 58456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 146.5, -15\/2?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1034812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115370702902 + 9*q - 115370702902.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1. Let g(k) = 1. Let q(z) = 4*d(z) - 5*g(z). Let i(a) = -2*a + 58. Let x(u) = i(u) - 6*q(u). Is 11 a factor of x(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6*(119\/14 - 1). Let r(w) = -w**3 + 5*w**2 + 2*w - 1. Give r(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84513 - 197865.\nAnswer: -282378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 - 2*a**2 - a + 20. What is the remainder when 77 is divided by t(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1083952 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from omzqmo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 0, 7 in decreasing order.\nAnswer: 7, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12017.85 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*3\/9)\/(36\/(-2160)*4).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/109 in 8, -3\/7, 36, -17, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7824916 is divided by 391245.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 237*p. Let j(c) = 4*c**2 - 6*c - 250. Give n(j(h)).\nAnswer: 948*h**2 - 1422*h - 59250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41627641 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e45d4 (base 16) in base 4?\nAnswer: -13210113110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 13098 + 178086 - 28494 = 0. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 1. Let n(b) = b**2 - 2*b - 85. Let c be n(-8). Let l(m) = 1. What is c*l(d) - 4*w(d)?\nAnswer: 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 53, 134, 249, 398, 581?\n\"Answer: 17*u**2 - 4*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6)*78\/22. Let b(q) = -q**3 - q + 1. Let w be b(0). Which is bigger: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/61580 and 61\/117002?\nAnswer: 1170020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 7*b - 18600. Round b to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*o**6 - 141*o**4 - 461*o**3 - 4364790*o**2 + 2*o - 1.\nAnswer: 3000*o**3 - 3384*o - 2766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 0. Let k(x) = 0*x**3 + 6*x**3 + 7*x - 8*x**3 + l*x**3 + 7*x**2 + 4. Determine k(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7503*b**2 + 931 wrt b?\nAnswer: -15006*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + -2 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -239*c**3 + 537*c**3 + 85*c**3 + 295*c**3 + (2 + c - 2)*(0*c**2 + 0*c**2 + 8*c**2).\nAnswer: 686*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 1 = i, 5*i + 0*m - 3*m = 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -775997.636 rounded to the nearest 10000?\nAnswer: -780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*d + 1254, 12*d = 15*d + 5*w - 1897. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13113 + 100322000?\nAnswer: 100340113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, f: 3, h: 4, g: 4}. Give prob of sequence hg.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, w: 2, j: 2}. Give prob of sequence rww.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 2. Let g be j(6). Suppose -2*w + 5 = w - 5*z, 8 = g*z. Suppose -7 = -5*b + t, -w*t + 6 = -5*b + 1. Is b less than 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 = 4*g + 8, 0 = h + 4*g + 17. Calculate the common denominator of 374\/(-847) + (1 - (h + 2)) and -137\/70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbubbbbbubbb. What is prob of picking 2 u?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -2*s + 2*q, 36 = -3*s + 6*q + 138 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**11)\/(g*g**(-10)*g))**(-7)*(((g**(-4)\/g*g)\/g)\/g**1)\/(g**2*g*g)**27 assuming g is positive.\nAnswer: g**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8407055, 33628260, 75663601, 134513078, 210176691, 302654440, 411946325?\nAnswer: 538052346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z - 2*z + 6*z)*(1 - 2 - 2)*(-2 + 2*z + 2) - 3*z**2 + 19 - 19 + (0*z + 3*z - z)*(0*z + z - 3*z) as p + v*z + h*z**2 and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25520 less than 25520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 115*k**6\/6 + 36*k**2 - 7. What is the second derivative of c(j) wrt j?\nAnswer: 2300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42904528?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*-1*(-13)\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**2 - 3*q - 6. Let t(h) = -h**2 + h. Let r(y) = o(y) + 6*t(y). Calculate r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 1, 10, 5.\nAnswer: 1, 2, 5, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16686 + -16688. What is the biggest value in 0.3, -0.05, b, -5, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 x when three letters picked without replacement from {e: 3, y: 2, s: 2, x: 3, j: 1, b: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, -1, -14 in descending order.\nAnswer: 138, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000100100 + -1100111000?\nAnswer: 110011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**3 - 5*p**2 - 2*p + 1. Is q(-3) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(6\/7)\/(10*(-1)\/14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 244346 * 13.7.\nAnswer: 3347540.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1352*t - 137*t**2 - 1352*t + 246*t**2 - 139*t**2 + 10*t**2.\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84312294 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -112430111 (base 5) in base 4?\nAnswer: -1331211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 3:39 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/(-160) - (-2)\/(-12))\/((-13)\/(-39)). Sort 1\/3, 2\/43, k in descending order.\nAnswer: 1\/3, k, 2\/43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t**2 + 0*t + 0*t)*(-4 - 2 + 4) - 2*t - 2*t**2 + 2*t + 5*t**2 - 4*t**2 + 0*t**2)*(9*t - 5*t + 6*t).\nAnswer: -50*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 24 = -3*p - p, p = -3*h - 15. What is the nearest to -1\/2 in p, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 2. Let c be 2\/2*(7 - 6). Let a be k(c). Let q(f) = -f - 1. Let r(x) = -5*x - 4. What is a*r(z) + 4*q(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 834 = -18*r - 786. Let f(o) be the second derivative of 13\/6*o**r + 0 + 25*o + 0*o**3 - 7\/2*o**2. Differentiate f(m) with respect to m.\nAnswer: 52*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1510 and -1635.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*(s\/(s\/(s*(s\/s**34)\/s)))\/s)*s)\/s*s**(-22)\/s*s**(1\/9)*s**12 assuming s is positive.\nAnswer: s**(199\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 12:44 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**6\/360 + b**5\/12 + b**3\/2 - 3*b. Let t(m) be the second derivative of f(m). What is the second derivative of t(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3062*t - 14838. What is p(5)?\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -103?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4\/7 - 3*v**3\/7 - 48*v**2\/7 + 48*v\/7 = 0. What is v?\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507*g + 474 = -505*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 6*q**2 - 13*q - 18. Suppose 346 - 80 = -38*x. Calculate the remainder when p(x) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -74887, -74950, -75013, -75076, -75139?\n\"Answer: -63*n - 74824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12646?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 824 (base 14) in base 2?\nAnswer: 11001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*c - 19, -5*a - 7*c + 2*c - 5 = 0. Let j be 20942766\/390 + a\/5. Round j to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 273*v**2 - 1607*v**3 - 274*v**2 - 68 - 7615*v + 7599*v wrt v.\nAnswer: -9642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 39522*g - 710748.\nAnswer: -2*(g + 18)*(g + 19743)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-12))\/r**(-15) assuming r is positive.\nAnswer: r**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + -102 + 63 - (-7 - (2 + (5 - 12))).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 5*p**2 - 5*p. Let f be g(-2). Let y(a) = -185*a + 36. Does 64 divide y(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 times 0.03624\nAnswer: -4.78368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4320778*h**2 - 2 + 2 + 48*h**3 - 52*h**3 - 4320778*h**2.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (240\/(-35))\/((-81)\/42) and 11\/240?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/5 (b) 0.4 (c) 2.3 (d) 6 (e) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/16 (b) -0.927 (c) 2\/3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-24) + 2)*-22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 22*o**3 - 5455*o**2 - 230*o - 4490. Calculate t(248).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + c + 4*c = 25, 4*d - 20 = -4*c. Suppose -2*p + 4 + d = 0. Solve -4*o - 1 = -3*m, 7 = p*o + 2*m - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddiwddwdiwdbw.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9458 is divided by 91?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 6222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -3557 = -7538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2850*z**3 + 3*z - 2852*z**3 - 3*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0 + 3 = 0. What is the tens digit of r\/(-2)*(-38 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 4*n + 3*n)*(3*n**3 - 3*n**3 + n**2 - 2*n**3).\nAnswer: -4*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 110041980 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-270)\/(-20)))\/((-110)\/15)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(37 + 30 + 6)*(l**3 - 2*l**3 + 4*l**3).\nAnswer: 219*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*w**3 - 1138*w + 1138*w)*(-298*w + 5*w**2 + 298*w).\nAnswer: 165*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 279712*f**3 + 18 - 279644*f**3.\nAnswer: 68*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 27 - 17) + -1 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*i + 42\/5*i**2 - 2\/5*i**4 + 0 + 2\/5*i**3.\nAnswer: -2*i*(i - 3)**2*(i + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-28) + 132840\/42 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 26ca8c?\nAnswer: 26ca8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.96161 nanometers to meters.\nAnswer: 0.00000000196161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226127641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + l + 1 = -0*l, -1 = -2*p + l. Sort 5, -1, p in decreasing order.\nAnswer: 5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.3 in -0.4, -1780, 0, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/2 of a second?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 522 and 523798.\nAnswer: 4714182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -249468.863 - -249677. Let r = -208 + d. Round r to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3, -2\/177, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2204948 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**4 - 1019136*s**3 + 2078*s**2 + 90*s?\nAnswer: -72*s - 6114816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*v - 2, 2*v = -z - 3*v + 25. Suppose 0*b + b - 43 = -z*k, 25 = 3*k + b. Suppose -k = -2*h + 9. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 + 3*g**4 - 3*g**4 - 3*g**4 + 3*g**4 - g**4 + (-g**2 + 5*g**2 + 3*g**2)*(-g**2 + g - g) to h*g**3 + u*g**4 + f*g**2 + q + p*g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 502859358 to the power of 1\/2, to the nearest integer?\nAnswer: 22425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -155590.08752.\nAnswer: -155590.48752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1930050 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 13. Suppose 3*h - 17 + 6 = 5*b, -l*b = -3*h + 26. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.605831976 to two decimal places.\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -871 (b) -0.1 (c) 3\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1193 is divided by 391.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 5*w**2 + 13*w - 6. Let c be s(4). Let i = c + -89\/3. Let u = 2 - 1. Is u equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {a: 2, q: 7, t: 3, z: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3489 + 3499 + 2 + (0 - -33)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-60))\/(3148\/(-348) - -9)\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 44 = 3*g + g, -5*g - 5 = 0. Let a(r) = -55*r + 196. Let n be a(4). Calculate the remainder when 9 is divided by n\/x*(1\/(-2) - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/(-5))\/(246\/820))\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -30*c - 12. Let t be k(3). Let v = 115 + t. Is v < 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*((-19)\/(-6) - 2). Solve -31*c + 68 = -x*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 + -3. Let x = o + 23.5. Let r = 19 - x. Is 0.2 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -126*z**3 + 259*z**2 + 9*z - 11. What is k(2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120120 + -22001?\nAnswer: -212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26913174 is divided by 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/c**(4\/7))\/c)\/(c\/(c\/(c**(3\/13)\/c))*c))**34*((c**(-1))**(-20))**(1\/12) assuming c is positive.\nAnswer: c**(2291\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1236*v - 106*v + 551810 = -6753*v for v.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**3\/3 - 3*l**2\/2 + 4*l - 2265. Suppose 2*d = 7*d - 15. Calculate x(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14750*n + 19387*n - 2625*n + 8668*n)*((-n**3 + 2 - 2)*(n - 4*n + 4*n) - 2*n**4 + 4*n**4 - 3*n**4).\nAnswer: -80360*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2979 + -1673. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1115 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 219.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*n - n. Suppose u = -4*d - 0*d + 1215, 5*d + 3*u - 1524 = n. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3703 + -0.37029981595. What is n rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365142579 is divided by 802.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -7*b**5\/3 - 194*b**4 - 11234*b**3\/3 + 36032*b**2\/3 - 6837*b - 3698\/3 = 0.\nAnswer: -43, -1\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -131930 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 15436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 46*n**2 + 79\/3*n**3 + 20*n - 66 + 7\/4*n**4. Let y(h) = 0. Calculate h.\nAnswer: -10, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -4041?\nAnswer: -4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9629, 9659, 9711, 9785, 9881, 9999?\n\"Answer: 11*x**2 - 3*x + 9621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72369227003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1032 and 632?\nAnswer: 81528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 20*c - 15*c, -l = 0. Solve 3*i = 2*o - 15, o + c*o = 2*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 - 1)*(-5 - 9*j - 5 - 3*j) in the form i*j + q and give q.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-99)\/44)\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150.5 + -151. Which is the biggest value? (a) 38 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*g**4 - 102*g**3 - 196*g**2 - 48*g.\nAnswer: -2*g*(g + 3)*(g + 4)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 29*z**2 - 4*z + 6. What are the prime factors of h(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -12010?\nAnswer: -12010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26\/17 + -216\/119. What is the third biggest value in 0.3, d, -1\/4, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (1 + 8 - ((4 - 15) + 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -100*u + 820. Determine g(9).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 6*a**2 + 6*a + 6. Determine d(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 3 - (-1 + -2 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3437, 3028, 2259, 1052, -671?\nAnswer: -2988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**2 - 2755920*d - 60627820 = 0. What is d?\nAnswer: -551162, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687654036 a multiple of 9411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 4\/9, -12770\/163?\nAnswer: -12770\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.3, -2\/3, -76310, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4309692 and 274.\nAnswer: 1180855608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/3 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*v + 3*g, -4*v - 2*g + 82 = -0*g. Suppose 4*l - v = 2*z, -6 - 10 = -5*l - 4*z. Find the common denominator of -56\/5 and (-1)\/(6*l\/388).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.02 + 6. Let m = k + -0.18. Let y = -90.9 - -85.9. Sort y, m, -0.4 in decreasing order.\nAnswer: m, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-12)*3*2\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -650 divided by 130\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2793362 - -8.841\nAnswer: 9.1203362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -220652 less than 2?\nAnswer: 220654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.34 - 0.06. Let x = 501 - 501.2. Let m = x - t. Put -2, -1, m in increasing order.\nAnswer: -2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 533723188*j**2 + 955*j + 55432 wrt j?\nAnswer: 1067446376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2484, -2337, -2190?\n\"Answer: 147*b - 2631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-15) + 277\/5. Suppose 202 = 3*x + m. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110001110 (base 2) in base 15?\nAnswer: 40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210893 is divided by 4386?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1373*x + 10 = w + 1375*x, 5*w + 5*x - 35 = 0. Solve 5*q = -5*d, -2*d + 16*q + w = 17*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 57910911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from hhuuhkuuukkhhku.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 - 23 = 2*b. Let r = -89 + b. Let k(x) = -x**2 - 2*x + 7. Calculate k(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/(2\/(-4)). Let q(a) = -a - 1. Let o(f) = 6*f**2 - 4*f - 4. Give m*o(s) - 4*q(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46618*i**2 + 93205*i**2 + 23*i**3 - 1 - 46587*i**2 + 53*i**3.\nAnswer: 76*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 17, d: 2}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 393 divide 297607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 27 = p, 0 = 3*p - 3*m + 4*m - 107. Solve -5*i - j + p = -6*j, -j - 2 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 515, -24 in increasing order.\nAnswer: -24, -8, 515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219137 is divided by 1126?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v + 5*v - 4*v + v - 1 + 1 + (-2*v + 2*v - v)*(0 - 1 + 3).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -607 + 795. What is the greatest common factor of 1363 and k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 26 = 11*k, -5 = -12*c + 10*c + k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-65)\/91*-7 + -2 + 218. What is the greatest common factor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 0. Let z = q + -0.6. Which is the nearest to -2\/3? (a) -1\/4 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6169700 is divided by 562.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*c = 3*c - 72, 4*c = -k + 39. Let i = k - 20. Are i and 2\/37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*f + 58 = 0, 5*f + 20 = 45. Suppose j + 4 = h - 21, -25 = -5*j. What is the remainder when h is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3127 is divided by 126.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 3*x - 11. Let h(m) = 3*m**2 + 5*m - 23. Give 4*h(b) - 7*y(b).\nAnswer: -2*b**2 - b - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/3)\/((q*(q\/(((q\/(q\/q**(-12)*q))\/q)\/q))\/q*q)\/q*q)*(q\/(q\/q**(-5)))\/((q**(-13)*q)\/q) assuming q is positive.\nAnswer: q**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/3*53\/((-3604)\/102)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 4)*(1 + i - 1)*(-i**2 + 15*i**2 - 6*i**2)*(2*i + 2 - 2) in the form z*i**4 + w*i + u + r*i**3 + p*i**2 and give z.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 4 (b) 2 (c) -0.5 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i**2 + 5*i**2 + 4*i**2 - 6*i - 14*i + 4*i**2.\nAnswer: -5*i**2 - 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2516?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6992589 and 8911?\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.12 + 12.12. Suppose -f = -0 - 4. What is the nearest to u in -1, f, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25595 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from vysmvvmssggvsm?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**2 + 7*p - 7. Let d(o) = -11*o**2 - 14*o + 15. Let s(x) = -6*d(x) - 13*z(x). Let k be (3 + -2)*(-17 + 2). Let y = -8 - k. Calculate s(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 20 = 3*x, 7*a = 3*x + 4*a - 18. Solve x*t - 4*t - 12 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 16*s + 75. Let j be (7 - 2) + (-8)\/2. Which is the smallest value? (a) j (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-2 - (-33)\/6 - 3). Which is the third smallest value? (a) j (b) -0.4 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (-1 + 1*sqrt(243)))*-1*-2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/(-3))\/((-6)\/18). Let u(t) = 77*t**2 - t + 1. Let f be u(1). Calculate the highest common factor of m and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3420415543 + 4?\nAnswer: -3420415535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 532743 and 57.\nAnswer: 10122117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 2. Let x(t) be the second derivative of t**7\/2520 - 29*t**4\/6 - 10*t + 2. Let q(s) be the third derivative of x(s). Calculate q(z(m)).\nAnswer: 9*m**4 + 12*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + i = 11, 9*r - 14 = 6*r + 5*i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10897380 and 3269214.\nAnswer: 32692140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 177415222 + -12?\nAnswer: 177415210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -52\/3. Put b, 0.5, 3 in decreasing order.\nAnswer: 3, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0*u + 8, -2*l = 3*u. Suppose 5*b - 6 - 9 = 0. Suppose z - 2*z = -l*v + 49, -3*z = b. Solve -2*a - g - 6 = -a, -v = 2*a + 4*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 25*l**3 - 24*l**3 + 5 + l - 3*l**2 - 4. What is q(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*s - 3. Let t be 8\/s - (-2 - (-32)\/12). Suppose 4*n + 276 + 70 = t*u, 5*u + 4*n = 935. Calculate the remainder when u is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/5 - 2821*y + 28214\/5 = 0.\nAnswer: -14107, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 588289.\nAnswer: -3\/588289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*v = -40, -3*j + 2*v = 34 + 10. Let a = j - -23. Suppose a + 61 = 3*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.11 - -18. Let d = z - 0.29. Let w = 1.6 - d. Which is the closest to w? (a) -2 (b) 5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 3. Let i be g(-7). Sort i, 0, 1 in ascending order.\nAnswer: 0, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 608015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 373136011?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 634421 and 0.11?\nAnswer: 69786.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -77\/5 (b) 4.08 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 9:36 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efspessfsp. Give prob of picking 2 e and 1 f.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 3:29 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 926499673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1331182178.\nAnswer: 2, 17, 23, 41, 41519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 663.6225 milliseconds?\nAnswer: 663622.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**5 - y**4 - y**3 + 2*y**2 + 1. Let q(h) be the first derivative of 2*h**6\/3 - 7*h**5\/5 + 2*h**3 + 3*h - 120. Let t(c) = 3*m(c) - q(c). Factor t(u).\nAnswer: -u**3*(u - 3)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*n + 72. Suppose 74 - 14 = -5*o. Let j be n\/o - (-6)\/9. Solve -z = j*z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12938 is divided by 210.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 29 = 9*z, 21*k - z + 7 = 19*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-21 - -15) + (7 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4\/7 + 414*d**3\/7 + 8556*d**2\/7 + 7304*d\/7 - 16272\/7 = 0.\nAnswer: -18, -2, 1, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2 - 84 + 28 + u + 29 + 28. What is j(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 50, 109, 202, 335, 514, 745?\n\"Answer: i**3 + 8*i**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -937574 divided by -38\nAnswer: 24673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45.59 + -0.59. Let s = -50 + p. Which is the biggest value? (a) s (b) -1\/3 (c) -1\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.1. Let g = -0.2 + x. Let c = -30.7 - -38.7. Which is greater: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*q + 13 wrt q.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -19878*r - 40749894. Calculate d(-2050).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 97 + 270*j**2 - 221*j**2 - 97. Let c(w) = -2*w + 84. Calculate i(c(o)).\nAnswer: 196*o**2 - 16464*o + 345744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7512302, 7512303, 7512304, 7512305?\n\"Answer: y + 7512301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3340560*i**5 + 2*i**4 + i**3 + 145379*i**2 + 6*i - 4.\nAnswer: 200433600*i**2 + 48*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 26\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 4\/21*s**3 + 5\/7*s**2 - 4\/7*s - 5\/14*s**4 - 1. What is g in z(g) = 0?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -338823*n**2 - 2*n - 4. Let o be h(-3). Let r = -1759405 - o. What is r rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0091 + -1.0091. Which is the closest to -0.5? (a) -2\/15 (b) -2\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 1. Let a(d) be the second derivative of d**3\/6 + 3*d**2\/2 + 6*d. Suppose -2*n + 2 + 4 = 0. Give n*y(r) - a(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**4\/4 - 8*v**3\/3 + 3*v**2 + 8*v - 2. Let a be n(7). Let c(k) = 49*k**3 - k**2 + 1. Is c(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 237, -5 in ascending order.\nAnswer: -5, 40, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -50162.17624 to the nearest 1000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 11 - (16 + 45 + -36 + -89)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 - 37 = 12*c. What is the tens digit of (1 + c)*(3 + (-13)\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1144)\/(-99))\/((72\/12)\/((-18)\/(-4)))?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -264526 equal to -264497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-10 - -5 - (10 + -10))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/40 and 55\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1 + 3 - x - 2 + 10*x**2. Suppose -5*a + 10 + 0 = 0. Let o(f) = -f**2 + 4*f - 5. Let y be o(a). Give u(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -1\/12*x**5 + 67\/40*x**6 + 0 + 0*x**3 + 0*x + 23\/24*x**4 + 90*x**2. What is the third derivative of y(f) wrt f?\nAnswer: 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 7*b**2 - 2*b + 8. Let j be l(7). Let k(y) = y**2 + 6*y + 2. Let g be k(j). Suppose 0*c = -2*c - 3*u, g*c - 3*u = 24. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 309*h**2 - 297*h + 4113. Calculate r(-310).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 40. Let g(a) be the second derivative of 1\/21*a**7 + 0*a**2 + 2*a - 2\/15*a**6 - 1\/3*a**3 + 0*a**5 + 0 + 1\/3*a**h. Solve g(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -134, -128, -110, -74, -14?\n\"Answer: n**3 - n - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:23 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109690 and 59710?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 344246 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*3 + 24\/3. Put b, 1, -5 in increasing order.\nAnswer: -5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -17782*y**2 - 153*y - 13379. Let h(t) = -234*t**2 - 2*t - 176. Let b(g) = -153*h(g) + 2*l(g). Differentiate b(j) wrt j.\nAnswer: 476*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36088 and 1248.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z**2 + 6. Let n(l) = 18*l**2 + 13. Give -6*n(i) + 13*r(i).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-3)))**(2\/23)\/(g**(1\/12)\/(g\/((g*g**(3\/4))\/g))) assuming g is positive.\nAnswer: g**(59\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-9)\/84)\/(-19 - 2))\/(4381\/35722) and 93\/140.\nAnswer: 12740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -6\/5, 11, 8, -2\/7, -1\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**3 + 127*q**2 - 2*q + 12.\nAnswer: 6*q + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 7*k**2 + 2. Let g(t) = -t**4 + t**3 + t**2 + 1. Let o(d) = 3*c(d) - 6*g(d). What is the third derivative of o(m) wrt m?\nAnswer: 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 16ac9?\nAnswer: 16ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*w - 6 - 2, 0 = -3*n - 4*w + 8. Let l(g) = -g**2 + 3*g + 1 + n*g**2 - 5*g + 0*g**2. Determine l(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 u when three letters picked without replacement from {j: 6, h: 5, u: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t + 0 - 27\/2*t**2 + 3\/20*t**5 + 5\/4*t**4 + 3\/2*t**3. Factor i(g).\nAnswer: 3*(g - 1)*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1771238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*d - 86*d - 60*d - 1 - 60*d - 88*d in the form h + i*d and give i.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 1. Let y be c(0). Let d(z) = 9*z**3 - z**2 + 1. Let l be d(y). Let a be ((-6)\/2)\/((-3)\/2). Solve 4*f + 19 - 7 = 0, -5*f - l = -a*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a minute in seconds?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8*36483258\nAnswer: 291866064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2 - 15020*t - 9995472 = 0 for t.\nAnswer: -6772, -738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3578, 4584, 6260, 8606, 11622?\n\"Answer: 335*k**2 + k + 3242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -8*o + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 111000101?\nAnswer: 111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.5, 3\/5, 285 in increasing order.\nAnswer: -5, -0.5, 3\/5, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1100110010101000110111010001?\nAnswer: 1100110010101000110111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*g**3 + 2*g + 0*g + 2*g wrt g?\nAnswer: -84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37421 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.6 or 97\/9?\nAnswer: 97\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/5 - (-11 + 14)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a**3 - 22*a**2 + 11995*a - 82. Determine u(-43).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 4*x**2 - 16*x - 62. What is the lowest common multiple of l(-4) and 592?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*b = 92*b - 110. Suppose 34*o = 23*o - b. Sort o, 0, 17, 4 in ascending order.\nAnswer: o, 0, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -13, -7, 3, -0.3, 0.5, 85?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72101415?\nAnswer: 3, 5, 107, 167, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187861045?\nAnswer: 5, 2609, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/8 - 673*j\/4 - 452929\/8.\nAnswer: -(j + 673)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/r)\/r**5)\/(r**1*r\/r**(1\/4))*((r\/r**6)\/r*r**(-7))\/(r\/(r*r**(-1\/10))*r*r\/r**(-1)*r) assuming r is positive.\nAnswer: r**(-497\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 14233*s**2 + 12*s + 20. Let t(n) = -113862*n**2 - 99*n - 165. Calculate -4*t(u) - 33*z(u).\nAnswer: -14241*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122516296.\nAnswer: 2, 7, 2187791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*k - 104 - 4 = 0, x + 2*k - 24 = 0. Suppose -17*p = -x*p - 15. Is p <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -47. Which is the third smallest value? (a) q (b) 2\/5 (c) -5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/(-19)*1 + -2. Let g = -3 - -3.2. What is the nearest to g in m, -2, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v + 9. Let t(b) = 3*b - 16. Let p(z) = 7*o(z) + 5*t(z). What is p(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*f = 99*f - 69629. What are the prime factors of f?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/(-24) - -6)*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 886724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-5\/6)*h)*h\/(h*h**(-1\/7)\/h)*h*h\/((h\/h**(4\/11))\/h)*h*h\/(h*h**(-4\/3)*h))**(-7) assuming h is positive.\nAnswer: h**(-2621\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3821.4*-0.4\nAnswer: -1528.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (22341 - 43366 + 92067 + 43212 + 57929 + 16968)*(-3*g**2 + 0*g**2 + g**2) as i*g**2 + b*g + s and give i.\nAnswer: -378302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1073)\/(-174) + 2\/(-12). Let u(t) = -8*t**2 - 8*t - 1. Let o(n) = n**2 + n. Give l*o(d) + u(d).\nAnswer: -2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 1, -5, -85?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, n: 1, t: 4}. Give prob of picking 1 x and 1 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13332 (base 6) to base 3.\nAnswer: -2211202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-648)\/((-8)\/(-2)))\/(-2). Let j = 87 - b. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -715 - -272. Let g = -433 - f. Solve 0 = 2*i + g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 29*v + 19. Let c be p(14). Solve -1 = -u, -2*s - 2*u + c = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1129*b**2*f**3 + 3*b**2*f + 217403*b**2 + 6*b*f + b wrt f.\nAnswer: -3387*b**2*f**2 + 3*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 522 - 200. Solve -o = -10*m - 342 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -16. Put c, -8, -0.5 in descending order.\nAnswer: -0.5, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {w: 7, u: 3, p: 1, d: 4, l: 4}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*h - 5*h**2 - 7*h**4 + 70*h - 23 - 19 - 2*h**3 + 32 to g*h**2 + t + u*h + z*h**3 + n*h**4 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2146, 2147, 2148, 2149, 2150?\n\"Answer: o + 2145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 - -109. Suppose 0 = 5*n - 0*s + 3*s - v, 0 = -5*n + s + 19. Solve 0 = -3*j - 4*g + 7, 2*j - 6 = -n*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 489*r**2 + 16*r - 20. List the prime factors of c(2).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 8*h + 10. Let q(n) = n**2 + 20*n + 43. Let i be q(-18). What is the remainder when 99 is divided by j(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1.2, -4.825, 7, 0.5.\nAnswer: -4.825, -1\/2, 0.5, 1.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20566036 - 14466036. What is b rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 407 + -410. What is the second smallest value in 2\/7, u, 0.5, -9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 20*v + 300. Determine w(-17).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1905 divided by 5\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7924736 rounded to three decimal places?\nAnswer: -1.792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2, -83.\nAnswer: -83, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325575, -651000, -976425, -1301850?\nAnswer: -1627275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*n**2 - 32*n**2 + 96*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2709, 2712, 2717, 2724?\n\"Answer: r**2 + 2708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -142661 (base 8) to base 6\nAnswer: -1030145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2161 divided by 59651\nAnswer: 2161\/59651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 15*s**2 + 19*s**2 - 36*s**2. Let c(w) = -54*w**2. Determine c(u(h)).\nAnswer: -216*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 6*x + 79. Let n(u) be the third derivative of u**4\/6 + 31*u**3\/3 - 2*u**2. Let z be n(x). Solve 7*w = z*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*i - 109*i**2 + 102*i**2 + 134*i - 74*i.\nAnswer: -7*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*w + 50*w + 4, 3*w = -3*x + 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40194 divided by -290?\nAnswer: 693\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1234010 (base 5) to base 9\nAnswer: -36240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 6:43 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8695?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 1. Let u be y(-7). Suppose u*j - 4*k = 4*j + 14, -k - 2 = 0. Solve j*l - 2*l = 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*i + 2*r - r, -i + 5*r + 6 = 0. Suppose -3*p + 0*p = -i. Suppose 3*q = -2*g + 577, g + 1459 = 6*g + p*q. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 46*r**2 + 199*r + 40. Give m(50).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = 2*d + 3*f, 2*f + 21 = 5*d. Let u = -2 - 0. Let g(c) = -c. Let n be g(u). Which is greater: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -16220243?\nAnswer: 16220242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -688*z**4 - 110*z**4 - 93321*z**2 + 93319*z**2 + (-2*z**3 - z**3 + 4*z**3)*(-2*z + 3*z - 2*z) - 2*z**4 + 2*z**2 - 2*z**2 - 5*z**4 + 3*z**4 + 0*z**4.\nAnswer: -803*z**4 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 v when four letters picked without replacement from wvvwvwwwwvwwvwwwwww.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -659160, -659158, -659164, -659184, -659224, -659290, -659388, -659524?\n\"Answer: -r**3 + 2*r**2 + 3*r - 659164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-40)\/(-10) + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 248*i - 261*i + 284*i + 172*i + (0 + 0 + i)*(1 + 2 - 2) - 2*i + 2 - 2 as h + w*i and give w.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(-1)\/2*(-6 + 4). Put -2, -1, h, 1 in descending order.\nAnswer: 1, -1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 + 4*j + 5. Suppose -5*r - 2*t = 25, -5*r - 25 = -2*t - t. Let y(d) = -5*d**2 - 5*d - 6. Give r*y(z) - 6*n(z).\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2*c**2 - 2*c)*(1 - 1 + c) + c**3 + 3 - 4 - 5*c**3.\nAnswer: -2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 768\/5 - 153. Let x be (-1)\/(-2*2\/8). Determine u so that 1\/5 - 4\/5*u**4 + g*u**x - u**3 + u = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -1, -3, 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 183 + -123. What is the remainder when p is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n - 23. Let r be p(-3). What is the second derivative of -13*h**r + 104*h - 9*h**5 + 13*h**4 + 68*h**5 wrt h?\nAnswer: 1180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 2155?\nAnswer: 38790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 423 + -4227\/10. Let f(u) = -u**3 + 2*u**2 + 4*u. Let j be f(3). Let r = j + -4. Is d not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*i - 0*q - 4*q, -2*i - 3*q = 5. Suppose i*d + 61 = 203. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 1. Suppose -6*s = -3*s - 6. Let f(l) = l**2 + 3*l + 3. Let o(j) = s*f(j) + 6*z(j). Let h(g) = 5*g. Calculate h(o(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 448 by 100.\nAnswer: 112\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -4, -0.3, 60, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -6 + (3 - 2) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 369 from -0.150825.\nAnswer: -369.150825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213513 is divided by 149.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68228615 - 0.34406.\nAnswer: -68228615.34406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = 6 - 42. Let u(z) = g + 3 + z + 0*z - 2*z - 4. Let t = 1 + 2. What is u(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327885971 to the power of 1\/2, to the nearest integer?\nAnswer: 18108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36664?\nAnswer: 2, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 4, j: 1, v: 1, d: 1}. What is prob of sequence dt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1267, -4722, -10473, -18514, -28839, -41442, -56317, -73458?\n\"Answer: r**3 - 1154*r**2 - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = -2*i - 2*m, -2*i + 2*m - 8 = 0. Let k be 15*i\/(4\/(-16)). Suppose -n + 4*w = -50 + 8, -n + k = 2*w. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 7*w**6\/600 - 37*w**5\/300 + w**4\/12 - w**2. Find u, given that v(u) = 0.\nAnswer: 0, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/50 and -109\/3700.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6602*n = 6656*n + 1512 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103.2 - -23.10346.\nAnswer: -80.09654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.891668 millennia to months.\nAnswer: 70700.016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90*d**2 - 255*d wrt d.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3665, -7318, -10967, -14612?\n\"Answer: 2*s**2 - 3659*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 10:10 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 52*y**2 + 78*y + 23. What is the tens digit of w(-58)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366335 and 75786670?\nAnswer: 8935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.148037 rounded to 2 decimal places?\nAnswer: -21.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -2 - -36) + -2. Let i = d + 862. Suppose -5*u + i = 240. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 101 - 141 + 3*i + 4*i + 6*i**2 wrt i.\nAnswer: 12*i + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -21*t**3 - 1. Suppose -5*z = 2*f + 22, -5*f + z = -1 + 2. Is x(f) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -31\/111, 4, -0.1, -0.004, 2\/13, -3?\nAnswer: -31\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 7. Let d(t) = -t**3 + 8*t**2 + 4. Let b be d(8). Suppose 4*h = -5*g + 30 + 51, h - 56 = -b*g. Calculate the remainder when g is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(45\/2*120\/(-90)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -20, -1, -438.\nAnswer: -438, -20, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4310107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/3)*m*m*m*m**13 assuming m is positive.\nAnswer: m**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*b - 5 + 1 - 3320*b**2 + 3316*b**2.\nAnswer: -4*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.18 - -0.22. Sort -1\/3, -1, x in decreasing order.\nAnswer: x, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -250 - -5?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4422944 divided by -241?\nAnswer: -4422944\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/10 - 85*u**4\/12 - 154*u**3 - 441*u**2\/2 - 36*u. Determine b, given that i(b) = 0.\nAnswer: -21, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12379 + 20968. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1941*i + 2063291. Determine z(-1063).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143441 + 3*x - 143441.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 5*k**2 + 23 + 0*k**2 - 2.\nAnswer: 4*k**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/12)\/(9\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 560 - 560.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 1 + (-6)\/(-2). Let d(b) = -5*b**2 + b**2 + 4*b**m - b**2. Let i(o) = 2*o**2. What is d(i(a))?\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -180, -358, -536?\n\"Answer: -178*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -259, -276, -293, -310?\n\"Answer: -17*a - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3001.8007 times 0.1\nAnswer: -300.18007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 189 - (13 - 2 - -15)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10ab (base 14) in base 2?\nAnswer: -101101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2)*(3 - 2 - 2)*(2*k**2 + 4*k**2 - 4*k**2) as s*k + x*k**2 + j and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3.7. Let c = d - 0.7. Let w = -104 - -97. Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*u = 16, -4*q - 5*u + 6 = -4. Suppose -266 = 2*v + i - 1272, q*v - 4*i = 2502. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-12))\/(3\/4) - 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2 + 35244*b + 16222954 = 0. What is b?\nAnswer: -17149, -473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2061*x**2. Let q(o) = -3*o**2. Calculate q(i(z)).\nAnswer: -12743163*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38, 33, 24, 11, -6?\n\"Answer: -2*k**2 + k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 243, 513, 783, 1053?\n\"Answer: 270*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + y + y - 6 = 0, 0 = -j - 3*y + 5. Suppose j*k + 4*r + 1 = 15, 5*r = 0. What is the lowest common multiple of (-9 - -49)\/5 - 6 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l - 3*l)*(8 - 2 + 0)*((l + 4*l + 0*l)*(-3 + 3 - l) + (-3 + 3 - 2*l)*(0*l - 2*l + 0*l)*(-1 + 2 - 3)).\nAnswer: 312*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -1155, -3793, -8909, -17325, -29863?\nAnswer: -47345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 10*z**2 - 7*z - 28. Let v be a(-5). What is the remainder when 2 + -3 + 17*(v + -3) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let v(w) = -w**2 + 30049*w. Give g(v(o)).\nAnswer: -o**2 + 30049*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68434 or 69354?\nAnswer: 68434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 560 - 10*a + 553 - 1097.\nAnswer: -10*a + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 10*f**2 + 2. Let g be y(10). Suppose -66 = g*p - 5*p. What is the greatest common divisor of p and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.5204 + -12.5. What is f rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*o = -200*o + 650 + 346. Let i(l) = l**3 - 5*l**2 + 3*l + 9. Calculate i(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -7 (c) -1 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/28)\/(((-2030)\/245)\/29)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10516434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 1 = w. Let z = w - 1. Suppose z = -5*c + 4*c. Solve 5*k + c + 8 = t, 0 = 2*k - t + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 99*n**2 + 25*n - 10. Calculate the remainder when m(2) is divided by 134.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.36 - -0.24. Let j = 0.4 + f. Suppose -4*c + 4 = 12. What is the third biggest value in c, 0.1, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -339*z - 1394. List the prime factors of c(-23).\nAnswer: 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 139*l + 23659. What is w(-171)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 707720285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 26*p - 28*p. Does 29 divide -1*5\/p*-9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 6*o + 3. Let c be t(1). Let m(v) = -65*v - 44. Let l(a) = 129*a + 90. Let p(g) = c*l(g) - 9*m(g). What is the derivative of p(j) wrt j?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174 - 273 - (-168 + -33).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/19 - 47284*x**2\/19 + 94574*x\/19 - 47288\/19 = 0. Calculate x.\nAnswer: -23644, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-196)\/(-14) - ((-90)\/(-9) + -20).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -533828.\nAnswer: 533827.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1\/4178?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.751 - -12.249. Let j = -132\/2047 + -2\/89. Sort r, 0.1, j in increasing order.\nAnswer: j, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1254 (base 6) to base 13.\nAnswer: -1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1) + -7 + 5 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 2. Suppose 3*g - 3*u - 49 = -2*g, 17 = g + 3*u. Let i be (2\/(-3))\/((-2)\/6). Solve -i*t + a - g = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z + 21 + 3*z - 8*z - 50 to v*z + y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 20300?\nAnswer: 20242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*s + 1, z = -s - 1 - 2. Let f = -1 - z. Suppose -3*l + 3 = -6*l. What is the second smallest value in l, f, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 + -49ab531?\nAnswer: -49ab514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4 - 5*y + 2*y - 6*y - 2*y. Let t be i(-6). Let g = t + -32. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 61960, 495644, 1672766, 3965044, 7744196, 13381940?\n\"Answer: 61953*v**3 + v**2 + 10*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 94*1\/18 - 6\/27. Sort -0.3, -76, -0.1, x in decreasing order.\nAnswer: x, -0.1, -0.3, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:05 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -145.3.\nAnswer: -147.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times 109.46?\nAnswer: 98.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -3, 4, -187, 1\/36, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**7\/420 + 31*w**6\/60 + 529*w**5\/20 - 10385*w**4\/12 + 112225*w**3\/12 - 2*w**2 + 163*w. Suppose i(a) = 0. Calculate a.\nAnswer: -67, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14071 + 0?\nAnswer: -14071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 85\/25 - (-2)\/(-5). Let a(z) = 16*z. List the prime factors of a(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(2299) - (sqrt(2299) - (sqrt(2299) + -3*sqrt(2299) + sqrt(2299) - sqrt(2299))) - sqrt(2299)) + -5 - -2*(2 + sqrt(76)))**2.\nAnswer: 58*sqrt(19) + 15985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4706773*0.06\nAnswer: -282406.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 14. Find the common denominator of -31\/2 and (-131)\/(-30) - (-3)\/z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -994 + -1a?\nAnswer: -9b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - h - 2*h + (-h + 1 - 1)*(3 - 3 + 2))*(-2981 + h - 1741 + 3681).\nAnswer: -3*h**2 + 3123*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 88240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 3 - 10 - 21*g + 31*g - 13 + 7*g**2. Let d be s(8). Does 4 divide (-1*d\/(-4) - 0)*-31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 10. Suppose -3*c = 5*g - 31, 4*c - 3*c - 3*g = 1. Calculate the remainder when 6 is divided by h(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.74 + -17. Let z = 15.8 + -16.02. Let q = o + z. Round q to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-z - 7*z + 3*z)*(3 - 6 + 1) + (-4 - 8 + 4)*(1 - 3*z - 1).\nAnswer: 44*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from {c: 5, w: 1, n: 3, v: 1, x: 1, m: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - 62. Let k = l + 28. Solve -4*o - k + 3 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106433, -851274, -2872985, -6810002, -13300761, -22983698, -36497249, -54479850?\nAnswer: -77569937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggsgggsggggggggsggg. Give prob of picking 4 g.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11)*s\/s**11*s)**(2\/3) assuming s is positive.\nAnswer: s**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + -154 + (-16016)\/(-104)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -765b (base 12) to base 15.\nAnswer: -3cdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28475 is divided by 7116?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31606801?\nAnswer: 3463, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = i - 2*i + 12, 4*i - 10 = -3*g. Find the third derivative of 7*c**i - 3*c**2 - c**4 + 2*c**4 - 5*c**4 wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 1. Let s(q) be the third derivative of q**5\/60 + q**4\/3 + 5*q**3\/3 - 3*q**2. What is -18*p(c) + 2*s(c)?\nAnswer: 2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 1) + (14 - 33 - (-12 - 12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3*z = 6. What is the third derivative of 2*o**5 + 3*o**z - o**5 - 3*o**5 wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 15, j: 5}. Give prob of sequence ijj.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 695 and 16819.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5 - 5 = 0. Let x = -63\/76 - -3\/38. Which is the closest to d? (a) 3\/7 (b) 2\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -75.79?\nAnswer: -75.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*t**6 + t**5 + 4679*t**3 - 87*t**2 + 232*t - 3 wrt t.\nAnswer: 2760*t**3 + 60*t**2 + 28074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3625 divided by 725?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:01 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24819 + 5?\nAnswer: -24814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83)\/249*(-24)\/14.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a38821 + -8?\nAnswer: -a38829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 8:27 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 2, z: 1, v: 1}. Give prob of picking 1 v, 1 l, and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 0 + 0*g - 169*g**2 - 1\/3*g**3 - 3\/4*g**6 + 13\/12*g**4 - 1\/60*g**5. Find the second derivative of f(q) wrt q.\nAnswer: -540*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4129275*b**3*y**2 - 26675060*b**3*y + 5*b**2*y**3 - 2 wrt y.\nAnswer: 8258550*b**3 + 30*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -17*d**3 - 5*d. Let p(o) be the first derivative of 9*o**4\/4 + o**2 + 11252. Give -5*p(m) - 3*z(m).\nAnswer: 6*m**3 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*i = 8, -i + 16 = -2*a + 3*i. Suppose 0 = -5*k + l + 3*l - 19, a = -5*k + 3*l - 18. Let c(n) = -3*n - 4. What is c(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45*34\/(-3060))\/(2\/68)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6428893 + -11745588019\/1827. Let w be 2580\/(-3915) + (-2)\/(-3). Let r = w - b. Is r at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13268744 to the nearest integer?\nAnswer: 3643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.7 - -6. Let s = 15.3 + -35.8. Let r = s - -23.5. Which is the fourth smallest value? (a) -0.2 (b) 4 (c) k (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 50\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0)\/((-5)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.3. Let a = p - 0.1. Let o be (-3)\/((-96)\/52) + -2. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5*(-18200)\/(-1365)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -111 - -219. Let b = g - 108.0000342. Round b to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/80 and -95\/138988?\nAnswer: 2779760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 2*l**2 - 5*l + 3. Let j be q(3). Let f(z) = z. Let w be f(j). Let p = 1 - w. Solve -2*t = p*u - 9*u - 10, -4*t + u = -20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 1, -5*k + 32 = 3*p - 63. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) -7 (c) 0 (d) 9 (e) -3\/8 (f) 1493\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -11 in ascending order.\nAnswer: -11, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 760 - 758.165. Let b = 1.8 - c. Let t = -12.435 - b. Round t to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiuu when four letters picked without replacement from {o: 2, w: 4, i: 7, u: 5}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179\/127 + 29444\/24765. What is the common denominator of (-5)\/110*(5 + 302\/6) and g?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 39*t - 235. Let u be y(6). Is 9 + (-7160)\/(-6 - u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1702 and 666?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k - 5 = -24*k. Let i be -4 + 0 + 0 + 0. Let j be (-2)\/(k*i)*-2. Which is the closest to -1\/2? (a) 0.3 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3\/4 - 63*j**2\/4 + 385*j - 369 = 0.\nAnswer: -82, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0.1 (c) 2 (d) 5 (e) -1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 20*i**2 - i + 29. Let m be l(20). Let v be (24\/9)\/(2\/3). Let p(r) = 10*r - 4. Let c be p(v). Calculate the highest common divisor of c and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -848 + 848. Let i(u) = -2*u**3 - u**2 - u. Let v be i(-1). Suppose o = -3*y + 2, -o + 2*y + v = -a*o. Solve o*k + 2*k = 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, 8\/3, 31\/4, 5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 2*u + 3. Let n = 7 - 4. Let c(w) = 3*w**2 + 3*w - 19. What is the remainder when c(3) is divided by r(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10900, 21848, 32844, 43888?\n\"Answer: 24*r**2 + 10876*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006120697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 11. Let q(b) = 8*b - 45. Let g(v) = -2*q(v) + 9*u(v). Let s be g(6). Find the third derivative of -2*j**6 - 2*j**2 + s*j**6 + 0*j**2 wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 2*n - 5*q - 5, 0 = 3*n + 2*q - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 21. Suppose 0 = -4*l - 5 + z. Suppose -d + 201889 + 38111 = l. Round d to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441468329 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(320)*2 + 1*(4 + sqrt(80))**2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcjmy. What is prob of sequence mkcj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13570\/39 + 348. Let o(n) be the second derivative of -p*n**4 + 0 - 5\/39*n**3 - 9*n - 1\/13*n**2. Factor o(q).\nAnswer: -2*(q + 1)*(4*q + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**1)**(-26)\/(k**(-1\/3))**3*(k**5*k*k*k**(-6\/5)*k)\/(k**5\/(k\/(k**(-1)*k*k))) assuming k is positive.\nAnswer: k**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*80\/(-25)*(-6)\/24. Let c = 14 - -1. Suppose 7*v = 2*v - c. Put v, t, -24 in ascending order.\nAnswer: -24, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -14. Let f = j - -33. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-278)\/(-139))\/((-2)\/11)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2. Let a(x) be the first derivative of 11*x**2\/2 - 12. Give y(a(j)).\nAnswer: -242*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/527? (a) 3\/2 (b) 11 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 140328 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3085, 3088, 3091, 3094, 3097, 3100?\n\"Answer: 3*z + 3082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/8 and 49\/899?\nAnswer: 7192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -223311121 (base 4) in base 14?\nAnswer: -49609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t - 37. Let u(o) be the third derivative of o**4\/8 + 2*o**3 + o**2. Let c(i) = -4*r(i) - 11*u(i). Differentiate c(j) wrt j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - (-9 + -22 + 53 + -24).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -970 and 4.\nAnswer: -3880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 7) + (9 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tooqwwoqooowoqqtooo. Give prob of sequence tooq.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**5\/4 - o**4\/12 + o**3\/6 - o**2 - 3*o. Is k(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85800 divided by -195\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*h + h**3 + 12*h - h**4 + 0*h**4 - 25*h - 5*h**2 to the form j*h**2 + q*h**3 + g*h + i*h**4 + s and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 770.8 + -771. Put 3, v, 0, -0.1 in ascending order.\nAnswer: v, -0.1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 16*a - 53. Determine z(0).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 2*m + 41 - 3*m.\nAnswer: m + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 212*c**2 - 708*c + 12. List the prime factors of u(9).\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - (11 + -5))*(-1)\/(-2). Calculate the remainder when 202 is divided by a*(297\/6)\/(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7900.1 litres to millilitres.\nAnswer: 7900100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*k + 24, 25 = 2*s - 5*k + 3. Suppose 4*u = -s, 2*y - 20 = -u + 12. What is the greatest common divisor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3092 (b) 3 (c) 12 (d) -2\/7 (e) 1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -506)*(-2)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6611 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**3 + 3*m + 1. Let s(x) = -x**3 + 1. Let r = 14 + -15. Let t(z) = r*b(z) + s(z). What is the second derivative of t(f) wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (-3 + 25) - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/54 and -68\/507.\nAnswer: 9126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p**2 + 2 - 3*p - 12*p**2 + 17*p**2.\nAnswer: 37*p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4440 + -2941. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 9*s + 18. Give a(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 9:39 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**6\/600 - k**5\/150 - k**2\/2 - 8. Let p(o) be the second derivative of y(o). Let p(r) = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253893330 divided by 9.\nAnswer: 28210370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 312 + 193. Is v 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 514811?\nAnswer: 11, 17, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -189890*f**2*q - 2*f**2*s + 3*f*q**2 + 15724*q**2*s wrt s.\nAnswer: -2*f**2 + 15724*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 15 = -4*t. Suppose -47*g = -45*g + 8. Sort g, -12, t.\nAnswer: -12, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 6*i**2 - i. Let u be t(-5). Let q = u + -17. Let h = 15 - 11. What is the least common multiple of q and h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -610 - -883. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*w + 2841 + 351 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1370609, 1370610, 1370611, 1370612?\n\"Answer: j + 1370608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 286*n**5 - 4*n**4 - 630*n**2 - 2. Let a(s) = -571*s**5 + 9*s**4 + 1258*s**2 + 5. Let b(t) = 2*a(t) + 5*o(t). Find the third derivative of b(f) wrt f.\nAnswer: 17280*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Let j = -1 + c. Suppose j = -6*h + 3*h. Solve 3*d + h*d - 12 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i - 5. Let x be m(-2). Suppose x*o + 4807 = 5*n, 2*o - 2881 = -3*n + 7*o. What are the prime factors of n?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 17*l - 5. What is the least common multiple of s(-16) and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j. Let r(a) = 2954*a**2 - 4641*a. Determine q(r(p)).\nAnswer: 17724*p**2 - 27846*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -18381*g - 164234. Determine w(-9).\nAnswer: 1195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -209 - -214. Suppose 0 = -5*c + 5*p - 15, 3*p + v = -5*c + 6. Sort -4\/15, c, 3 in decreasing order.\nAnswer: 3, -4\/15, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**3\/9 + w**2\/2 + 2*w\/3 - 13. Let l(m) = 0. What is m?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4225982 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 398 + -383. Solve -6*r - 9 - a = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72 - -76) + (-21 + -4 - (-4 + -1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24*7\/504*66\/20 and 49\/3146.\nAnswer: 15730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-3)\/108)\/(52\/312)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 + -1) - -49) + -36 + 37 + -10.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1296.129 millilitres?\nAnswer: 1.296129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174750 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 52?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:37 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 8:46 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66.956 + 0.044. Let w = f - 67.29. Let v = w - -0.2866. What is v rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22855, -45711, -68567, -91423, -114279, -137135?\n\"Answer: -22856*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + (-2657)\/(-114). Let o be -8*1\/(-114)*-2. Let q = u + o. What is the common denominator of q and -62\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 180 = 6*o. What is the tens digit of 2406\/o + 2\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 176609\/176 + -19459\/16. Let n = p + 213. What is the common denominator of 7\/11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g - 93 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.905 + 20.\nAnswer: -11.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3340+124836\nAnswer: 121496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 147 + 107 - 284 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 2084.\nAnswer: 2083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22043281, 44086546, 66129809, 88173070, 110216329, 132259586, 154302841?\n\"Answer: -x**2 + 22043268*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/8)\/((-490)\/(-3528))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/12 + 6*u**2. Let g(h) = h**2 + 2. Let n(t) = -t**2 - 1. Let w(k) = -g(k) - 2*n(k). Determine w(q(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24b873 (base 12) in base 3?\nAnswer: -1010112012220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**4\/2 + 2*m**3 + 128*m**2. Let w be s(-1). Solve 4 = 2*i + 4*k, w = i - 2*k + 3*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 3:54 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1258*r + 1492*r - 2*r**4 - 405*r**2 - 1815 - 3*r**4 - 655*r**2 + 132*r**3 - 2*r**3 = 0 for r.\nAnswer: 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/13, -5, -3, 4, 6784?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 198049.89 microseconds in minutes?\nAnswer: 0.0033008315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 33 = -0*h + 3*h, 2*h + 28 = 5*r. What is the greatest common divisor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -367481*n**3 + 49*n**2 - 51*n**2 + 367168*n**3 to h + u*n + o*n**3 + y*n**2 and give o.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9657, 9779, 9981, 10263, 10625, 11067?\nAnswer: 11589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/49*-24*12\/(-48).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -37*j**2 + 4443*j - 253. Calculate l(120).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/5, -1\/22, 0.04 in decreasing order.\nAnswer: 1\/5, 0.04, -1\/22, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 - -70 - ((0 + -8 - 7) + (1 - 5)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16b2 (base 15) to base 6.\nAnswer: 34352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1134 and -53\/38556?\nAnswer: 38556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = -27 - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -763, -1076, -1389, -1702, -2015?\n\"Answer: -313*i - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 9:56 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 7 + 13. Let g be -2 + (-1)\/(v\/(-8) - 0). Solve 0 = -3*d - g*d - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.1, 0.6, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -4 (c) 0.2 (d) 0.3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1533, 6197, 13971, 24855, 38849, 55953, 76167?\n\"Answer: 1555*q**2 - q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25, -0.7, -2, 0, 0.2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + h**2 - h + 2. Let y(w) = -w**2 - w. Let l be y(2). Let r be 2\/(-4) - 15\/l. Calculate v(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**5\/4 - 7*n**4\/12 - 7*n**3\/6 - n**2 + 14*n. Let d(m) = 2*m**3 + 3*m**2 + 3*m + 1. Give 7*d(r) + 3*z(r).\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -52763587 to the nearest one hundred thousand.\nAnswer: -52800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + v**2 + 4)*(-56*v + 228*v**2 - 93*v**2 - 150*v**2).\nAnswer: -15*v**4 - 56*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**5\/15 + 3*q**4\/2 - 20*q**3\/3 - 100*q**2\/3 + 2062. Factor o(t).\nAnswer: -t*(t - 10)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5*m = 30, -3*f - 21 - 14 = 4*m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35\/699 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-330)*11*11\/2?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-828)\/(-198)) + -12*1062\/(-396)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -180*a**3*o**3 + a**3*o**2 + 2*a**2*o**3*r + 10*a**2 + 5*o**2 + o*r wrt o.\nAnswer: -1080*a**3 + 12*a**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*32\/(-8) - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7137 + 5*p - 4*p**2 + 7137)*(0*p**2 - 2*p**2 + p**2).\nAnswer: 4*p**4 - 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6 + 4*i - 4*i - 3125*i**2 - 3. Let s(t) = 3256250*t**2 - 3125. Let r(u) = -3125*j(u) - 3*s(u). Let l be r(8). Round l to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 24, -28, 2097, 1 in descending order.\nAnswer: 2097, 24, 2, 1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 4*d - 76 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - j. Calculate q(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -24, -4.7, 42\/11, 221?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/5 or -27779481?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1765, 3551, 5323, 7075, 8801, 10495?\n\"Answer: -x**3 - x**2 + 1796*x - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from aaxizaz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/4371 - -624889\/179211. Let u = w - 5885\/1558. What is the common denominator of 65\/12 and u?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.1 - 0.1. Let d = 2 + -1. Let r = 3.8 + -4. Which is the closest to d? (a) 2 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2 + 750*a**3 - 812*a**3 + 276*a - 3238*a**3 wrt a?\nAnswer: -19800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d + 45. Calculate the greatest common factor of 18 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.45820951 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 = 3*h - 2*t, 2*h + 3*t - 23 = 0. Solve 0 = h*u - d + 3, 5*u + 4*d - 3*d - 3 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5908.365 * 6\nAnswer: -35450.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 less than -0.04523?\nAnswer: -628.04523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 224 = 3*g - 4*z, -2*g - 244 = z. Suppose 2*i + 2*i + 12 = 0. Let n be g\/28*21\/i. Calculate the greatest common factor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = l - 6, 3*s + s + 12 = 4*l. Solve 1 = -b - l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyi when three letters picked without replacement from oubopypyyuybiuo.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*b + 465 = -180 + 213 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1181638, 1181624, 1181610, 1181596, 1181582, 1181568?\nAnswer: 1181554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -79800935 and -79800936 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17394903137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/28)\/(33\/22*(-16)\/(-2*2)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5652 - -22613\/4. Let m = -14 - -8. Let g = m + 8. Is g bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138.2205 + -4.8585. Let k = 1.238 + u. Let d = -135 + k. Which is the nearest to -0.2? (a) 0.3 (b) 1\/6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b + 23. Calculate y(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -224 - -643. Let y be 217540\/(-1043) + (-8)\/(-14). Let t = b + y. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -4*d + 43 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.4. Let n be 0\/(-1)*14\/(-28). Let y = n - 2. What is the third biggest value in 4, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42263, -84532, -126801, -169070, -211339?\nAnswer: -253608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 87 (base 14) to base 2\nAnswer: 1110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.1459 weeks in seconds?\nAnswer: 47262640.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224745 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/77 = 3.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-13)\/(z\/(z**11\/z)) assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 111, 329, 697, 1245, 2003, 3001, 4269?\n\"Answer: 5*b**3 + 30*b**2 - 27*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 7:31 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 10*v. Let d be (-11 + 3)*2\/(-2). Let t = d + -15. What is the units digit of r(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -40, -54, -70?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0*x**3 - 374*x**2 + 4*x**3 + 36*x**2 + 82*x**2.\nAnswer: 4*x**3 - 256*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -2\/15*u**4 - 2\/5*u**2 + 2*u + 1\/50*u**5 + 0 + 1\/3*u**3. Factor a(v).\nAnswer: 2*(v - 2)*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8*(-46 - 16)*(-2)\/(-8) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1) - (-56)\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 45*v. Suppose 12*o + 155 = 7*o. Let q = o - -33. Let n(f) = 3*f**2 - 3*f - 4*f**q + 3*f. Determine y(n(r)).\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 21 = -5*k, 0 = 980*g - 981*g + k - 3*k + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 842644*-5.\nAnswer: -4213220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 13*x + 5. Suppose -3*i - 18 = -6*i + 3*s, 3*s = 4*i - 27. Let j be v(i). Let p = j + 60. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19832115959 plus -0.06?\nAnswer: 19832115958.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 1. Suppose r + p = 0, 0 = -r - 3*p - 2*p - 4. Let k(i) = 3*i**2 - 60*i + 57. Let v(z) = r*k(z) + 6*c(z). Factor v(n).\nAnswer: 3*(n - 21)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016046044 to seven decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-1)\/((-1)\/2514) - (2 + -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252 a factor of 6654365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j - 8*j - 144 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6982, -28012, -63010, -111976, -174910?\n\"Answer: -6984*t**2 - 78*t + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 152045?\nAnswer: -152042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -902 + 919. Solve -2*j - 2*n + 10 = 0, j - b + 2 = -3*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*g - 43*g**2 + 12*g**2 + 177*g.\nAnswer: -31*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**3 + 28*t**2 - 159*t - 16. Determine x(5).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -788878680 - 4?\nAnswer: -788878684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 131*y**2\/2 - 10*y + 311. Differentiate t(m) with respect to m.\nAnswer: 131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3231391\/28084 - 6087\/118. Let w = -1070\/17 + k. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (sqrt(130)\/sqrt(90))**2*1*-4 + 2).\nAnswer: -215\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 7\/(7\/(-8)). Suppose 3*l = a*l. Solve l - 3 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1463 = 3*x + 8*x. Suppose 0 = r - m - x, m = 3*r - m - 396. Let d = -77 + r. Calculate the greatest common factor of d and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/((-4)\/435*(-2145)\/(-858))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(272)*5)\/(sqrt(392)*-1))\/((-4*2*sqrt(22))\/(-1*sqrt(11)*1)) + 2.\nAnswer: 5*sqrt(17)\/28 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37.5 - 37.349905. Let p = z + -0.15. What is p rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*z - 2 = h, 5*h = -5*z. Let w(k) = -k**3 + k - 3. Let a be w(h). Find the common denominator of -42 and (-3)\/(a\/3) + (-142)\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21056 and 15604?\nAnswer: 1747648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 3*b**2 + b**4 - b**4 - 2*b**4 + 5*b**4 + (0 - 1 + 4)*(b**3 - b**3 - b**4) + 3*b**2 - 3*b**2 - 2*b**4.\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 635 to the nearest 10.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/3 + 291*f**3 - 1755*f**2 + 7907*f\/3 - 1172 = 0. Calculate f.\nAnswer: -879, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 10:07 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/20, -0.09, 11, 4\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18637 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2372.79467+2\nAnswer: 2374.79467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 3\/4, 0.241, 2, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*o + s + 34 - 6 = -5*o, -8*o - s = -197 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6109 divided by 17\nAnswer: -6109\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18455676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.11, -12?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78.3664 + -78.2. Round z to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1052 and -0.07?\nAnswer: -73.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*x + 875 + 900 = 599 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, g: 1, c: 8, x: 1, o: 2, v: 1}. What is prob of sequence rvc?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 6*c - 25. Let u be v(-9). Let g = -27 - -45. What is the greatest common divisor of u and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23340552.\nAnswer: 2, 3, 61, 107, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 262*q - 4449. Let z be h(17). Let a(j) = -2*j**2 - 23*j + 4. Let o(m) = -3*m**2 - 35*m + 6. Give z*o(u) - 8*a(u).\nAnswer: u**2 + 9*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31144, 3, 0 in descending order.\nAnswer: 3, 0, -31144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -14. Put -5\/4, p, 2\/9 in descending order.\nAnswer: 2\/9, p, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -18*v - 184. Solve -385*j**2 - 3467*j - 4276*j - 9*j**3 - 140*j**v + 746 - 3269 = 0.\nAnswer: -29, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/24 - -1\/8. Let a be (2 - 1)*-4*-1. Suppose -a*o - 10 = -0*z + 2*z, -o = -2*z. What is the smallest value in 0.5, p, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 596 = -358. Let o = -43408\/91 + f. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*48\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 110237820?\nAnswer: -110237819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2275016\/105 + -21667. Let q = m + 7\/15. Let p(b) = b**2 + 16*b + 20. Let g be p(-14). Sort q, -4, -2\/5, g.\nAnswer: g, -4, -2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 + 65. Let j(x) = x**2 + 5. Calculate j(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.9719*-7291\nAnswer: -79996.1229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1069*l**2 + 432390*l - 432390*l + (4*l**2 - 2*l**2 + 0*l**2)*(-4 + 3 + 2))*(-l - l - l).\nAnswer: -3213*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -18. Which is the second biggest value? (a) z (b) -2\/9 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - a - 33 = 0, -3*j + 55 = 4*a + 16. What is the remainder when 17 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*p = 26518, 4*t - 1524 = -3*p + 19689. List the prime factors of t.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 361 and 360 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 9. Let m = -6 + d. Which is the third smallest value? (a) -4 (b) m (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 542, 2, -0.83, -0.5 in increasing order.\nAnswer: -0.83, -0.5, 2, 542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2921*v + 21*v**2 + 2921*v to the form w + o*v**2 + a*v and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - j. Let f(i) be the third derivative of -7*i**5\/30 - i**4\/2 + 3*i**2. Give -f(y) + 12*r(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8815784 is divided by 181?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84046 by 1.\nAnswer: -84046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 27062.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from {o: 2, r: 5, a: 7, j: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211022002 (base 3) to base 6.\nAnswer: -434215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -965*i + 529*i + 3488 = 0. Solve 2*v - u = -9, v - 4*u + 6*u = i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17046569.99931 + -17046743. Let l = 365 - 192. Let g = d + l. What is g rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 12*i**2 + 11*i + 5. Let j be s(-11). Suppose j = -4*f + 21. Calculate the remainder when 10 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 121 = 72 - 121 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*g = -36, -4 = -4*g + 12. Suppose 22*p**2 - 27 - 55*p**2 + 19*p**3 - 22*p**2 + 81*p - 8*p**2 - 2*p**z = 0. What is p?\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 1392 - 1383 = 0, -m - m - 2*k = 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**3\/3 - x**2\/2 + x - 29. Let y(r) be the second derivative of r**4\/6 + r**3\/2 - r**2\/2 + 5*r. What is 3*g(b) + y(b)?\nAnswer: -b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3848736 to the nearest integer?\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2360030 and 4484057?\nAnswer: 44840570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-25)\/q**(2\/25))\/(q\/q**12*q*q\/(q*q*q*q**(-8\/9)\/q)) assuming q is positive.\nAnswer: q**(-3368\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29291.\nAnswer: 17, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2134 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from momomxmhmhmo.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/4 - 2585*h**2\/4 - 2588*h - 2589 = 0. What is h?\nAnswer: -2, 2589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 923857859?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + (8 - (2 + -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/7 + 63*j + 444\/7.\nAnswer: -3*(j - 148)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(7\/5)\/(s\/(s**27*s)*s*s*s))**(-7) assuming s is positive.\nAnswer: s**(-889\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.019 - -7832.\nAnswer: 7832.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-6))\/(18\/(-648)). Suppose -59*r - 16 = -n*r. Let u(t) = -t**2 + 24*t - 33. Calculate the remainder when u(r) is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22605608*y**2 - 10443253.\nAnswer: 45211216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005025822 rounded to 5 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 379044 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*h = 282*h + 3*i + 41 - 10, -41 = h + 5*i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -0.1 (c) -6252\/7 (d) -0.8 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(21*(-16)\/(-1008))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(72))\/(sqrt(900) - (sqrt(900) + sqrt(900) + sqrt(900)*-2)).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8372 - 565*n - 1835*n + 91*n - 876.\nAnswer: -2309*n + 7496","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/3 - ((-32)\/4 - -4). Let t = 2 - 2. What is the closest to t in 2\/5, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-10)\/(-55))\/((-71)\/(3905\/(-60)))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-2)*((-6)\/(-8))\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.4, -2 in decreasing order.\nAnswer: -0.2, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 4*u**2 - 5*u + 7. Suppose 0 = -a - 2 + 5. Let r be a\/(2*(-3)\/(-10)). Determine l(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 22. Which is the closest to -0.1? (a) l (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/4)\/(25025\/12515 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*g = -0*q - 14, 0 = q + g + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7872 + 7969. Solve 25*h = -53 - o for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 521*r**2 + r + 256*r**2 + 263*r**2.\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4982*h*o**3 + o**3 + 568*o**2 + 5*o wrt h?\nAnswer: 4982*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-6)*(-120)\/150\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 720, 953, 42, -2583, -7492?\n\"Answer: -95*y**3 - 2*y**2 + 904*y - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631 a factor of 387300856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -14*x**7\/15 + 19*x**4\/6 + 2*x**3\/3 + 734*x**2. Find the second derivative of h(c) wrt c.\nAnswer: -2352*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033514 rounded to four decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1681*h + 1797*h + 1100 = 3753*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514\/5 at least as big as 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496 divided by 832?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 128*k + 132.\nAnswer: -4*(k - 1)*(k + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 648 or 713?\nAnswer: 713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17329 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/39)\/x*x**(2\/13)*(x**(9\/2)\/x)\/(x*x**(-20\/9)) assuming x is positive.\nAnswer: x**(895\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764792 is divided by 391?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46\/39 - -80\/13. Let l be (4\/5)\/(18\/45) + -24. Calculate the common denominator of s and (-37)\/11 + (-23 - l).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - x - 3 + 14 = 0, -2*z + 2*x + 2 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -11*j + 6. Let p be c(4). Let b = p - -22. Let x(i) = i**2 + 14*i. Is 8 a factor of x(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*h + 406934990 = 0, -t + 81387015 = -206*h + 209*h. What is t rounded to the nearest one hundred thousand?\nAnswer: 81400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 0*q**3 + 5*q**3)*(8*q - 9*q + 2*q).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 4. Let b be d(-2). Let g = -2 + 2. Suppose 7*a - 2*a - 15 = 5*w, g = -4*w. Solve -4*c + 2*h - a = -5*c, -b = -c - h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 + 33*n**2 - 21*n - 29. Let t be o(-17). What is the first derivative of t*i - 7*i + 5 - 9*i - 8*i - 17*i - 16*i**2 wrt i?\nAnswer: -32*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10962, 96967, 330536, 785451, 1535494, 2654447?\nAnswer: 4216092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 9:22 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -15*s**3 + 3*s**2 + 3*s + 2. Let o(w) = -w**3 - 8*w**2 - w - 6. Let q be o(-8). Let x be f(q). Is -100 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - (-3 + (-2 - -11))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 1, e: 1}. What is prob of picking 1 e and 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - ((-42)\/525 + 1*1239\/175).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401942 to the power of 1\/2, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.2603\nAnswer: 0.10412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240 (base 8) to base 11.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-28)\/(-8))\/(2*(-3)\/(-23676)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**5 + 2*t**5 + 0*t**5 + (-2*t**4 + 2*t**4 + t**4)*(4*t - 3*t - 3*t) - 4*t + 4*t - 3*t**5 + (2*t**2 + 0*t**2 - 3*t**2)*(t**3 + 2*t**2 - 2*t**2).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -2, 12, 36, 70, 114, 168?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/9)*n**(2\/29)*n**(-7)*n*n\/(n*n**(-3)) assuming n is positive.\nAnswer: n**(-794\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - -12. Let t be 3 - 7 - (4 + -33). Calculate the greatest common factor of i and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {p: 7, n: 6, i: 4}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18 - -3) + -3 + 1. Suppose 4*r - 8 = -2*x - 2, -r = -3*x - m. Suppose r*b - 11 = 5*f, 0 = 3*f - 5*f - 3*b + 14. Solve 0 = -2*z - 9 + f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -821*j + 5701. Calculate f(7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112387220 a multiple of 2436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.9 - 0.9. Suppose 8*s + 5*s = -26. What is the closest to 1 in s, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 99*b**2 + 5*b. Let g(m) be the first derivative of 50*m**3\/3 + 3*m**2\/2 - 2115. Give -3*c(t) + 5*g(t).\nAnswer: -47*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 395.74 + -394. Let t = n - 1.73982. What is t rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 780\/2240*24576\/1152?\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v - 20. Suppose -z - 40 = -2*a - 0*z, a - v*z = 38. Let t be ((-102)\/a)\/((-2)\/6). Solve -5*u = 2*n - 2 - t, -5 = 2*n - 3*u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -13138716*h**2 + 29447*h - 58894. Let z(u) = -2677*u**2 + 6*u - 12. Give 6*q(a) - 29447*z(a).\nAnswer: -2677*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-99)\/(-2))\/(3\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319915.\nAnswer: 5, 109, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 47\/(-9)*(0 - -6). Let z = 32 + u. Let b = 1177\/7735 + 1\/595. What is the closest to -1 in b, z, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.292 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3814.\nAnswer: 1\/1907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 2. Let m be z(2). Suppose -s - m*a = -4*s + 11, 2*s + 5*a = -18. What is the units digit of (s - 0)\/(2\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 - 51*s - 2. Let l(n) = 8*n + 63. Let w be l(-9). Let h(t) = 6*t**2 - 101*t - 5. Let r(g) = w*b(g) + 4*h(g). Is 6 a factor of r(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 11. Let c be 445\/(-25) - 16\/(-20). Let r = 49 + c. What is the highest common divisor of r and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -393, -800, -1209, -1620, -2033?\nAnswer: -2448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81929, -151840, -221751?\nAnswer: -291662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.12 + -15. Let i = -3.12 + s. Let q = -2572\/7 - -368. Sort q, -0.5, i.\nAnswer: i, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*m - 20 = 0, 2*m - 20 = -5*v - m. Suppose v*l - 22 = 2*u, -2*u - u = l + 26. Let x = 23 + u. Solve -x - 1 = 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (15 - 3)\/3. Suppose q = 18*u - 21*u + 27. Solve -3*l + u - 3 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 247.4746 litres?\nAnswer: 247474.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1.2. Let c = 3.12507 + -0.12507. What is the nearest to 5 in -12, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-21)\/(-15) - (-234)\/(-65).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 4. Let x be z(3). Suppose 2*u - 2*v - v = 10, 4*u = 3*v + x. Solve 0 = u*i + i + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.76 * -2.1\nAnswer: 1.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70889 divided by -70889.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 + 18*q - 20. What are the prime factors of u(-19)?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 0 - 2 - -2. Determine a, given that -3*a**2 + 5*a - 2*a - 3*a**s + 3*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 345, -4, 8 in decreasing order.\nAnswer: 345, 8, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**3\/3 - t**2 + 8. Solve n(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3947.52194 rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oroodjzojo. What is prob of sequence drz?\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 10983.\nAnswer: 10983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 0*l + 4*t + 12, -2*t - 4 = l. Suppose l*g = -0*g - 3*r - 38, -4*r = 3*g + 32. Let q be 2\/g + 28\/48. What is the biggest value in q, -2, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -120*t - 35. Let i(v) = -10*v - 3. Suppose o = -4*w - 12 + 3, o - 5*w - 18 = 0. Calculate o*s(f) - 35*i(f).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 + 2*q - 5*q**3 + 4*q**3 + 7*q - 5. Let j(t) = 9*t - 15. Let b be j(6). Let l = b - 33. Give c(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.53 = -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 2*j**4 - 2*j**4 + (3 - 3 - j**3 + (-2*j**2 - j**2 + j**2)*(0*j - 3*j + 0*j) + 3*j**3 - 2*j**3 - 3*j**3)*(13*j - 13*j - 12*j).\nAnswer: -38*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*p = 3*d - 931, -d + 3*p + 467 = 0. Suppose 3*x + d = x. Is x\/(-7) + 6\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 2\/7 (c) 2\/13 (d) 0.01 (e) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17420 and 8409572.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7*k - 2*k - 9 = 0, -3*k = 2*q - 8. Let p(r) = -3*r**3 - 1. Let w be p(q). Which is the third biggest value? (a) 0.06 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:22 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z + 4. Suppose 0 = -z*p + 55 - 19. Suppose 3*v = 4*f - 16, 7 = -5*f + 3*v - p*v. What is the nearest to 1 in -0.4, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 39486, -2\/9, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10013201130 (base 4) in base 5?\nAnswer: 234020023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13444197983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 296244\/(-24) - (-2)\/(-10). Let r = t + 12334. Find the common denominator of r and 101\/62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 r when three letters picked without replacement from rzzzzr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.32 - -86.32. Let u = -49.6 - 43.7. Let q = r + u. What is q rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - -0.01. Let l = m + -5. Put l, -4\/7, 20 in ascending order.\nAnswer: l, -4\/7, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4823*-12.7.\nAnswer: 61252.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 3*m. Suppose -3*c + 1 + m = 0. What is the derivative of 2*r**3 - r + c + r + 0*r wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5132069 times 167?\nAnswer: 85.7055523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/83544 and -143\/168.\nAnswer: 584808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1 - 1 - 3*d + 3 + 22*d. Let a be z(1). Suppose -r - 2*r + 150 = 0. Calculate the greatest common factor of a and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, l: 6}. What is prob of picking 2 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 3*w - 1760077 + 1760125 = 0, -3*w = -4*o - 102 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 less than 159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 167, 660, 1479, 2624, 4095, 5892, 8015?\n\"Answer: 163*x**2 + 4*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12466 and 57914.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 145*w**2 + w - 4. Let l(z) = 291*z**2 + 4*z - 7. Give -7*f(q) + 4*l(q).\nAnswer: 149*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3492485 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: Is 90 a factor of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -3*w - 4*b, b = 5. Let n = w + 11. Suppose n*p = 25, -5*h - 5*p + 91 = -84. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + 15. Let h = 96.3 - t. Let c = h + -62. What is c rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17598*w + 17560*w + 1178 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -61\/3, 59, 379, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 924450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -0.13 (b) -2 (c) 2\/17 (d) 0.05 (e) 22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36250 and 2726.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*16\/(-8)*(-14)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/7 + 4*x**3\/21 + 127. Determine z so that p(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204611 and 7315?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00301 rounded to four decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.59, -3, -0.4, -0.5?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2405*r**2 + 1853*r wrt r.\nAnswer: -4810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015210565 rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**5\/20 - 3*y**4\/4 + 3*y**3\/2 - 2*y**2 + 12*y. Let n be o(-10). Let a be (3 + n\/(-16))\/(3\/2). Is 1 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 - 37*h - 5. Let k be r(-9). Solve 0 = -4*z + i + 15, -4*z - i + 29 - k = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265595133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(((sqrt(153) - 1*sqrt(153)) + sqrt(153))\/sqrt(9) - sqrt(119)\/(1*sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211853647 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7905 divided by 255.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 14 = 62. What is the remainder when 78 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 10:38 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62437589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 2. Let j = o + 10. Does 8 divide 3 - -41 - (3 + j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -19*w**3 - 3*w**2 + 129*w + 719. Is 63 a factor of t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Suppose 0 = -3*w + w + 3*k + 7, -4*w + 3*k + 17 = 0. Suppose w*z + 5 = 10*z. Let i(d) = 7*d**2 - d**2 - 1 + z. Calculate b(i(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4033850 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 450, -1\/3, -5, 3, -10.\nAnswer: -10, -5, -1, -1\/3, 3, 450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 6:40 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*r = -72, 2*h - 24 = 5*r + 47. Let q = 28 - h. Calculate the least common multiple of 6 - 0\/3 - 2 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 20, 5*m + 175 = 7*u - 2*u. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61006759 = 117*g + 48*g - 205645924. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - t - 3 = 3*t, 2327*t - 34 = -2*o + 2349*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -90*t**3 - 40*t. Let l(m) = -7*m**3 - 3*m. What is -40*l(i) + 3*q(i)?\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26917063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-32)\/(-36))\/2)\/(-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/1 - 4\/4*-67. Let l = v - 68. Let a = 19 - 0. Solve -6 = -w - k, 4*k + l = -w + a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-5)*185\/(-296))\/(3\/(-52)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1567 + -1562. Solve -m*a - 4*r = -a, 2*a - 30 = 4*r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1 - (-33 + -1). Calculate the highest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1488318 + 796250894\/535. Let a = 3\/107 - i. Let w be ((-48)\/32)\/(18\/(-8)). What is the smallest value in -2\/7, w, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-2*-4 - sqrt(110))\/((-2*sqrt(40))\/sqrt(4)))**2.\nAnswer: 539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p**3 + 7*p**2 - 7*p + 7. Let c(s) = 4*s**3 - 2 - 4 + 1 + 5*s - 5*s**2. Determine 7*c(j) + 5*l(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, -3, 4, -23, -15 in descending order.\nAnswer: 9, 4, 1, -3, -15, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9249\/4, -1\/3, 31, 0.3?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11021324412 + 1?\nAnswer: 11021324413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-47)*s)\/(s\/(s**(1\/68)\/s)*s) assuming s is positive.\nAnswer: s**(-3263\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-135)*5)\/(7\/(-3)). What is the nearest to 2\/3 in 1, r, -5, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100579.\nAnswer: 23, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.2769 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*i + 135 = -168*i. Suppose -2*g - 3*g + 5 = 0. Sort 29, i, g in ascending order.\nAnswer: i, g, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93038 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13331023 (base 4) in base 6?\nAnswer: -410511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61, -88, -115, -142, -169, -196?\n\"Answer: -27*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3388 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 6) in base 14?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*g + 366*g + 1338265 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -150621, 4.\nAnswer: -150621, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from sznzngnnnsnennnn?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*sqrt(70)*5)\/((sqrt(90) + sqrt(90) + (sqrt(90) - -4*sqrt(90)))\/sqrt(9))*-6 + 2 + 5.\nAnswer: 7 + 270*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -2012?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2205 and 1094366.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 2*n + 20. Suppose -6*j + 3*j - 6 = -4*u, 0 = 4*u - 5*j - 10. List the prime factors of b(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-52)\/60)\/((-8)\/10) and -65\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 2*v**2 - 14 + 14)*(31*v**2 + 10966*v - 10966*v).\nAnswer: -31*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 2\/13, 0.9, 11\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 22 = 4*a - 107, 0 = 2*a - 5*w - 57. Calculate the remainder when 281 is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:23 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f. Let c(i) be the first derivative of -7*i**3 + 31*i + 3513. What is m(c(y))?\nAnswer: -42*y**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, 0.8, -3, 1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 2610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (276\/68 - 5).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6587 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -127. Let i = -132 - k. What is the closest to -0.1 in i, -3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/9 + 44840*z\/3 + 251328200 = 0. What is z?\nAnswer: -33630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -1 in descending order.\nAnswer: 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) 49 (c) 0.5 (d) 29 (e) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 2*l**2 + 3*l. Let y be u(3). Let w(p) = -13*p**2 + 5*p + 28. Let b(d) = -3*d**2 + d + 7. Let o(k) = -9*b(k) + 2*w(k). Give o(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + 2.7. Let w = k + -2.9. Let u be (-115)\/25 - -4 - -1. Which is the second smallest value? (a) u (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/4*(-1300)\/125. Suppose 5*k = -8*k + v. Suppose -3 = -2*x + 5*g, g + 0*g = -5*x + 21. Solve -4*r + x = -k*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 20*g**2 - 53*g + 1061. Let z be j(20). Which is the nearest to 1\/2? (a) z (b) 10\/9 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.33 - -0.03. Which is the biggest value? (a) -3 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/2 (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-900)\/(-54)*(-12)\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 5*a + 13)*(0*a + a + 0*a) - 2 + 2*a**2 + 2 + 2*a**2 + 3*a**2 - 3*a**2 to the form c*a**2 + y*a + l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 7*s**2 - 8*s + 5. Let r be k(-8). Suppose 4 + 8 = d. Solve r*b - d = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**6\/60 + g**5\/40 + g**4\/12 - g + 88. Factor j(s).\nAnswer: -s**2*(s - 2)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-25 - (-20 + -18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*y = 20, -3*o - 2*y - 3*y = -80. Calculate the remainder when 47 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39365 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - q + 1. Let x(r) = -3*r**2 - 3*r + 4. Let b(n) = n + 1. Let c(o) = 6*b(o) - 2*x(o). Let z(l) = c(l) + 5*i(l). Calculate z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15865, 15847, 15817, 15769, 15697, 15595, 15457, 15277?\n\"Answer: -w**3 - 11*w + 15877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 494 and 164238698?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24268575 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-11 - 2 - ((-16 - (9 + -31)) + -4)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-230)\/(-138)*(-4)\/10.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/325)\/(246\/7462)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(972)*1)\/(1*sqrt(9)*-2).\nAnswer: -3*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -128*x + 131*x + 14 - 155, -11*j + 2*x = 107 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p - 9*p - 3*p + 0*p + 4*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + 123?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 2287979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -669.99585 rounded to the nearest 10?\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16432 is divided by 514?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(170) - sqrt(170)*2)*2)\/sqrt(10).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 2970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2265*m - 4534*m + 2269*m - 48*m**3.\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/27, -5, 1\/4, -705?\nAnswer: -705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*16\/1224*(-35)\/28.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 70020*r - 70016*r + 68, 5*r + 75 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.6 + -47. Let j = -8.82 + 9. Let x = j - 4.18. Put x, 3, h in ascending order.\nAnswer: x, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/7)\/(((s\/(((s\/((s*s**(-20))\/s))\/s)\/s))\/s)\/s) assuming s is positive.\nAnswer: s**(141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 1}. What is prob of picking 2 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 126486, 126525, 126568, 126615, 126666?\n\"Answer: 2*k**2 + 33*k + 126451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 1. Let q be o(0). Let i be q*-2*(-2 + 1). What is the second biggest value in 6, i, 1\/6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 111*h**3 + 4*h**2 - 4*h - 2. Is y(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -70458, -281823, -634048, -1127091, -1760910?\n\"Answer: 7*g**3 - 70472*g**2 + 2*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2190 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Put -5, w, 3 in decreasing order.\nAnswer: 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10548295 - 2*f + 10548295.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*f - 1823*f - 36360 - 19098 = 6457 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**6\/24 - 137*m**5\/60 - 59*m**4\/6 + 58*m**3\/3 - 780*m**2. What is i in a(i) = 0?\nAnswer: -2, 2\/5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 61*f**8\/336 + 79*f**4\/12 + 177*f**2. Find the second derivative of m(r) wrt r.\nAnswer: 1220*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*c, -3*c + 12 = 2*m - c. Suppose m*f - 11 = 4. Let n(z) = -f*z + 2*z + 1 + 7*z**2 - 3*z**2 + 3*z + z**3. Calculate n(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**4\/3 + 89*m**3\/3 - 341*m**2\/3 - 13361*m\/3 + 9130 = 0.\nAnswer: -11, 2, 15, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1116, -2228, -3340?\n\"Answer: -1112*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 3 = 3 - 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 486878 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -13. What is the units digit of m*4\/(-4)*-9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(6*(sqrt(931) + sqrt(931) + sqrt(931)*2*5 + sqrt(931)) + 4).\nAnswer: -546*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 4*d**2 - 2*d - 10. Calculate y(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6203 - -3?\nAnswer: 6206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 113?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.91 + -3.5. What is i rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101440 - 2?\nAnswer: 101433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:08 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5607.681um to kilometers.\nAnswer: 0.000005607681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(42)*1)\/sqrt(2) + (-3*sqrt(210) + sqrt(210) + sqrt(210))\/sqrt(10))\/(1*sqrt(112) - (sqrt(7) - (sqrt(175) + sqrt(7))*-2)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1396 and 2633.\nAnswer: 4029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - i - 14, 0 = -0*i + 2*i - 4. Suppose -2*f - 3*s + 1592 = 0, -8*s - 3194 = -q*f - 9*s. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/5)\/((-16)\/120*(-120)\/(-3))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11\/4)\/d*d)**(-5\/4)*d**(-3\/19)\/d*d*d\/d**(8\/5) assuming d is positive.\nAnswer: d**(4073\/1520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 1\/96*u**6 + 0*u**3 + 0 + 10*u**2 + 0*u - 5\/96*u**4 - 1\/168*u**7 + 1\/48*u**5. Let c(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*u**3 + 26*u**2 + 32.\nAnswer: -18*u**2 + 52*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*z - 11 - 378, 643 = -5*r + 3*z. Let q = -91 - r. Suppose -q = -3*u + 2. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o = 20*o + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -2)\/(1 + (-20)\/16). Let w(p) = 6*p**3 - 4*p**2 + p. Let v(r) = 5*r**3 - 3*r**2 + r. What is m*v(c) - 3*w(c)?\nAnswer: 2*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9820276393709 and 0.055.\nAnswer: -9820276393708.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2057)*-2)**2 + (sqrt(153)*4 + 3)**2.\nAnswer: 72*sqrt(17) + 298665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (177\/3363)\/((-1)\/2)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 4\/9, -30\/71, -11, -5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -627, -26, -11.\nAnswer: -627, -26, -11, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8184 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 h when three letters picked without replacement from hiiiiiiihiiiihi?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3)\/u*u**(7\/4))\/(u**0*u)**30 assuming u is positive.\nAnswer: u**(-343\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69 in -5, -35, -37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 10*p + 710. Calculate o(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.2, 0, 18, 5, 0.0013?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**3\/4 + 861616*k**2 - 689292*k = 0.\nAnswer: 0, 4\/5, 689292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5305262*t**3*u**2 - 68*t**2*u**2 + 14233*t**2*u wrt t?\nAnswer: 31831572*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (10 + 7 + -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000047606955 to 6 dps.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -5, 189 in decreasing order.\nAnswer: 189, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -ffaa (base 16) in base 14?\nAnswer: -19bd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a + -62?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5426143 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7783*k - 4613*k + 3636*k)*(2*k - 2*k + 3*k**2) as d*k + p*k**2 + m*k**3 + j and give m.\nAnswer: -26280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 32 - (113 - (112 + 26))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/25630 and -17\/194788.\nAnswer: 973940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, -4, 0.06, 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a centimeter in millimeters?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0 - 3681935*u - 3501598*u + 633541*u + 16. Let r(h) = -h**2 + 10*h - 2. Let v be r(10). Let m be z(v). What is m rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 19*a + 75. What is the lowest common multiple of 133 and h(-18)?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 33*v - 97 + 97 + (2*v - 5*v + v)*(10*v - 7*v + 11*v) as r*v + k + t*v**2 and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44748348419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 2 - 2 - -7. Suppose 5*l = 0, -l + 6*l - 25 = -n. Suppose s + o + o - 5 = 0, n = -5*o. Calculate the highest common factor of s and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**7\/490 + l**6\/35 - 11*l**5\/70 + 3*l**4\/7 - 9*l**3\/14 - 12*l**2. Factor t(m).\nAnswer: -3*(m - 3)**2*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2067*m + 2084*m - 714 = 0. Solve 0 = -22*h + 28*h + m for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**3\/3 + 16*v + 1. Let d(r) = -4*r**2 + 4. Calculate m(d(o)).\nAnswer: 8*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*s**3 - 2996920*s**2.\nAnswer: 4*s**2*(9*s - 749230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4 + 888*k**3 - 8154*k**2 + 24624*k - 24705 = 0.\nAnswer: -305, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (71 - 69) + (1 - 2) + -28?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100239539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20133 (base 4) in base 6?\nAnswer: -2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22 + 184 + 4*u**2 + 1052*u**4 - 4*u**2 - 77 with respect to u.\nAnswer: 4208*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/78)\/(1*(-4)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -1583*s**6\/60 - 2237*s**4\/12 - 565*s**2. Find the second derivative of d(c) wrt c.\nAnswer: -18996*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y = 34*y + 5. Suppose 0 = -2*j - z + 3, 0 = y*j - 2*z + 6. Solve j = 7*s - 32 - 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/120*6*(-13)\/(91\/(-154)) is divided by 2\/(-4) - 33\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 9*b - 5. Let x be s(-10). Factor m**2 + 0 + x*m + 0 + 4.\nAnswer: (m + 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3440 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + i**3 + 11*i**3 + 17 + 0*i**3 + 124*i.\nAnswer: 12*i**3 + 124*i + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120653665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -69. What are the prime factors of t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4389053 smaller than 4389044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/368*-170)\/(((-105)\/12)\/7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3*z - 9 = 0. Suppose 21 = j + 8. Let a = j - z. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-3) + (-24)\/(-8). Suppose -7*z + 104 = -3*z. Calculate the remainder when z is divided by -2 - (v - (10 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28274 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 631260 a multiple of 334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 5 - 1474\/(-22). What is the highest common divisor of d and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2508 or 27?\nAnswer: -2508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81.59 - 2.\nAnswer: -83.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33214528*k**2*y + 2850*k**2 + 26*k + 182 wrt y.\nAnswer: 33214528*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3280, 26381, 89210, 211633, 413516, 714725?\n\"Answer: 3311*i**3 - 2*i**2 - 70*i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -731*f**3*g**4 + 2*f**3*g**2 + 13*f**3*g - 5*g**3 + 216*g wrt g.\nAnswer: -17544*f**3*g - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -938*l - 70530. Determine s(-75).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by -130\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 24 = 4*q, 896*q = 894*q - 3*n - 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 16 = -2*a, 0*a + 12 = 4*c - 2*a. Let n(d) = -d**2 + 4*d - 2. Let w be n(c). Put 5, -4, w in ascending order.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2487 is divided by 423?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4102039922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5339596 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.6 less than 8598?\nAnswer: 8421.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2283\/5 or 456?\nAnswer: 456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106831277*b**3 + 19799699*b.\nAnswer: -640987662*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/5, 3\/49, 4 in decreasing order.\nAnswer: 4, 1\/5, 3\/49, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 591*i*x**2 + 78497*i + 2*x**2 + 2*x + 826824 wrt i.\nAnswer: 591*x**2 + 78497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09726203 - 0.10399.\nAnswer: -0.00672797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtrttbtbttttttrx. Give prob of sequence xb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 15. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51636 divided by 1324.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 5)*3\/9 + 2. Which is the biggest value? (a) p (b) 0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -64*y + 59. Let c(n) = -n + 2. Let g(d) = -b(d) + 3*c(d). Is 29 a factor of g(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.202 (b) 2\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5667885*l**4 - 3*l**2 - 1657118*l wrt l.\nAnswer: 136029240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1282 + -1281. Let q(n) = 49*n + 1. What is q(i)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -4\/5*o**2 - 91\/30*o**4 + 47*o + 0 + 143\/100*o**5 + 34\/15*o**3 - 7\/30*o**7 + 14\/75*o**6. Let m(b) = 0. Calculate b.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 12 - 8)*(-189*t - 107*t + 6 - 4 - 2).\nAnswer: -3552*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -94*h + 68. What are the prime factors of w(-40)?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -777150 + 777150 - 23*l**3.\nAnswer: -23*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 431*m - 1851. Give r(4).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -21. Suppose 62 = h*i - 23. Suppose 3*q - 35 = 112. Calculate the remainder when q is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3 - -3)\/4)\/2 + 0. Solve -5*p + p = 2*w, 3*p - w + 5 = s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3783024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 108094 from 186440.\nAnswer: 78346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(363) + (sqrt(12) - (sqrt(108) + sqrt(12)))\/sqrt(4).\nAnswer: 1 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 7134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 785903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 6\/37, -0.3, -14 in descending order.\nAnswer: 6\/37, -1\/5, -0.3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 885762116 to the nearest integer?\nAnswer: 29762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 8 = -d. Solve -12 = 4*r, -5*r + 0*r = -2*w + d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -455010.2 - 68755.8. Let j = r - -523769.3000008. Let b = 3.3 - j. What is b rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, 12, -168, 5, -10, 3 in ascending order.\nAnswer: -168, -12, -10, 0, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/17 - 12*a**2\/17 - 14*a\/17 = 0. Calculate a.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - -109. Let t = d + -129. Let z = 1 - -2. What is the closest to t in z, 2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1226546579?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -23, -41, -67, -101, -143, -193?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 11*w**2 - 24*w + 2. Let q be -2*(-1)\/1 - -3. Suppose -32 = a + 5*x, q*a + 64 = -0*x - x. Does 44 divide m(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 747 - 2664. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/11 (b) -11 (c) -4 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g - 2*g)*(g - g + g**3) - 385*g**4 + 228*g**4 - 420*g**4.\nAnswer: -578*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78858?\nAnswer: 2, 3, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/59808966 and 143\/210.\nAnswer: 299044830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1013 - -869 - (-2 + (-8 - 8))?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 81849*m - 982359. Give v(12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 less than 4707132?\nAnswer: 4707146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.058 + 0.058. Let k = q + 38. What is the smallest value in 3, k, 0.08?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2956 + 2954. Let x = 5\/1163 + 3387\/294239. Let o = x - 827\/4301. Sort 4, z, o in descending order.\nAnswer: 4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1400.7 - 1401. Which is the nearest to 0.13? (a) -0.1 (b) 1 (c) -4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(55)\/(sqrt(50)\/sqrt(10))) + (4*1*sqrt(63))\/sqrt(9) + 0.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 8, m: 4, s: 1}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2000 = -3*r + 128*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1.17\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 0 (c) 0.15 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/((-1)\/6). Let f = 10 + i. Solve -n - 20*n**2 - f*n - n - 4 - 8*n**3 = 0 for n.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from fdjdedfdfdz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 95 = -22*j. Sort -0.4, j, 48 in ascending order.\nAnswer: -0.4, j, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let v(h) = 988*h - 171. Let y(j) = 23*j - 4. Let g(q) = -4*v(q) + 171*y(q). Give b(g(u)).\nAnswer: -38*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -12021121112?\nAnswer: -12021121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*z = 1200*z - 44718 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23628897 to the power of 1\/2, to the nearest integer?\nAnswer: 4861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-458)\/(-80))\/((-6213)\/545) + 3\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13455 and 13546 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -3*j**2 - 8*j + 3624. Give g(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3168) + 1*sqrt(3168) - sqrt(110)\/(sqrt(5)*-2))*1)\/(sqrt(300)\/(sqrt(6) + sqrt(54)*-6)) + 1.\nAnswer: -833*sqrt(11)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -116*g**3 + 28*g. Let r(j) = 21*j**3 - 5*j. Suppose -17*o + 192 = 668. Determine o*r(u) - 5*b(u).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4734 is divided by 928?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -216. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 54 = 2*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -12*y - 862. Calculate w(-62).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 6:26 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17908 divided by -148\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 3:46 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*x**3 - 27*x**3 - 19*x**3 - 11*x**3.\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**2 + 225 - 98 - 127.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 223 + -148. What is the third derivative of 72*s**2 - t*s**3 + 13*s**3 - 15*s**2 wrt s?\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43 and 0.08?\nAnswer: -3.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*c + 3*d, -105 = -5*c - 2*d + 2. Sort -2, 4, 1, c.\nAnswer: -2, 1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**4\/16 + x**3\/6 + 7*x**2\/8 + x + 10. Find l, given that r(l) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261669, 523336, 785003?\nAnswer: 1046670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9016, 35444, 79496, 141172, 220472?\nAnswer: 317396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 185789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 12:09 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d + 52. Suppose 0 = -v + 4*x, -2*v - d + 6 = -x. What are the prime factors of (-1)\/v - (-54)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9689\/6 - -1593. Calculate the common denominator of a and 55\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -41*y**3 - y**2 - 1051*y - 1051. Give k(-1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7143228 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 15. Let x be l(-4). Let q(f) = 2*f + 18. Calculate q(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - z**2 + 134. Is i(0) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 5. Let s = 77 - 73. Let b be g(s). Let h be (-5 + (b - -8))\/2. Solve 0 = -4*l + 20, h = 4*o - 5*l + l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -652? (a) -0.3 (b) 12\/7 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -49\/6*y**2 - 1\/36*y**4 - 7\/9*y**3 + 0 + 9*y. Find h such that n(h) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 3*c - 3. Let r be y(2). Let h = 16 - 11. Let k = h + -4. Sort r, k, 5.\nAnswer: r, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*k - 4*z, -4*k = 4*z + 5 + 31 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oop when three letters picked without replacement from {i: 1, e: 1, t: 1, p: 1, q: 3, o: 6}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 21*v**2 + 14*v + 17. Let k = 953 + -958. What is the tens digit of b(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - 1112121221211200?\nAnswer: -1112121221211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcoowwcrt. Give prob of picking 1 c and 1 k.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 31 = -3*n + 2*g, 2*n - 5*g - 30 = 0. Suppose -5*j + 16 = -4*b, 3*j - 14 = -b - b. Solve -2*i = -j*q + 2*q - 8, -n*i + 20 = -4*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2 = 2. Let z = 7 + s. Let x = z - 3. Solve 0*d + x*d + 6 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, v: 1, m: 5, r: 1}. What is prob of picking 1 y and 1 r?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*p**2 - 37*p**2 - 56*p**6 + 11*p**2 wrt p.\nAnswer: -6720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-136)\/(-6)*(-3 + 3336). Find the common denominator of -64\/65 and 6\/(-20) - t\/(-79560).\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/(-4))\/(3\/(-6)). Suppose 5 + u = 3*h. Let v be (h\/7)\/((-4)\/(-14)). Solve c - 3 - v = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(-2\/3)\/a)))\/(a\/(a*a*a*a**(-4))))\/(a**(-3)\/(a**(3\/7)*a))*(a\/a**3*a**(-6))\/((a**(-3)*a)\/a*(a*a*a*a**6\/a)\/a) assuming a is positive.\nAnswer: a**(-236\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/1*5\/(500\/(-3840)). Calculate the highest common divisor of 168 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4372 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 27\/5 + 2\/(-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/12 (b) 4 (c) 3\/302 (d) -4 (e) -1 (f) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4344, -17437, -39254, -69795, -109060, -157049, -213762?\nAnswer: -279199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 9*b**2 + 18*b - 16. Determine l(11).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2\/2 - 10685*s + 114169225\/2 = 0. Calculate s.\nAnswer: 10685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4840 divided by -220.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 - 103. Let o = f + 44. What is the third derivative of -11*l**2 + o*l**3 + 3*l**2 + 18*l**3 wrt l?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 315 + -297. Let a be 1\/2 + 14\/4. Suppose -y = a*f - 5*f. What is the lowest common multiple of 20 and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, -4, -1, 5 in decreasing order.\nAnswer: 85, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2 + q - 3 + q. Let n(y) = y**2 - 9*y + 12. Let l be n(8). Let k be l\/(-1) - (1 - 2). Determine d(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10029 divided by -12274.\nAnswer: -10029\/12274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:36 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 150074 + 4?\nAnswer: 150100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**3\/6 - 5*s**2\/2 + s. Let o be u(-9). Suppose -89 = -3*c + o*t, -c + 39 = -0*t + t. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43905*g**3 + g**2*m + 21*g**2 - g*m - 11893521*g + 2*m wrt g?\nAnswer: 263430*g + 2*m + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 - 141. Let v(o) = o**3 + 12*o**2 - 13*o + 9. Let i be v(-13). Is ((-6)\/5)\/(i\/p) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbsbssfsbbssssbbb. Give prob of picking 4 b.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-69)\/(-5) + -1 - (-164 + (-9570)\/(-55)). What is z in 2\/5 + 2\/5*z**4 - 4\/5*z**2 - 7\/5*z + p*z**3 - 7\/5*z**5 = 0?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26569*o - 26564*o - 4*c - 23, c - 4 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538.01 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9334104 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 10 + 11 = 4*c, 14 = c - 3*o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 43254 divided by -3\nAnswer: -14418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4512283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20710 + 421.\nAnswer: -20289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t + 1480 = -40*t - 216*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18957 - 34625 + 6*r**2 + 17891 + 401*r with respect to r.\nAnswer: 12*r + 401","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 21*m**3 + 5*m**2. Let x(t) = -7*t**3 - 2*t**2. Let g(z) = -7*x(z) - 2*y(z). What is the third derivative of g(c) wrt c?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 (base 11) in base 4?\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2100.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(272) - -2*sqrt(272))*-5 - -2*(-2 + (sqrt(272) + sqrt(272) + 1 + sqrt(272))**2).\nAnswer: -12*sqrt(17) + 4894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 31*f = 0. Let a = 20 + -24. Let u be 10*2*a\/(-16). Solve 5 + f = u*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17192278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 14 = -7*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38913947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1924, -1931, -1948, -1981, -2036?\n\"Answer: -i**3 + i**2 - 3*i - 1921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (605*h + 611*h - 1229*h + 22)*(-1 - 2*h + 1) to l*h**2 + o*h + m and give o.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 94*x - 99*x - 2, 5 = -4*s - x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-425)\/100)\/(-1*19\/228)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 199*w**2. Let r(o) = -6*o. Calculate r(a(c)).\nAnswer: -1194*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 3*u - 4. Let o be w(3). Let c = 27 - o. Suppose 2*r - 3*q = -3*r + 12620, r = c*q + 2541. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 + -15215.\nAnswer: -15226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -854 + a**3 - 768 + 1711 - 55*a + 25*a**2 + 2*a**2. Calculate z(-29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) -3\/19 (c) -5 (d) -6 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 5:10 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 3*w - 43. Suppose -137*b + 15 = -140*b. Let c be u(b). Put c, -6, -2 in decreasing order.\nAnswer: -2, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - z + 6. Let l(j) = -j**3 - 2*j + 7. Let k(i) = -5*l(i) + 6*n(i). Let r be k(-3). Solve 6*w - 2*w - r = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17*-22922\nAnswer: -389674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 2*y**2 + 107*y - 7*y**2 + 4*y**2 - y**3.\nAnswer: -y**3 - 5*y**2 + 107*y - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6)**(5\/4) assuming x is positive.\nAnswer: x**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvpu. What is prob of picking 1 p and 2 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 8:00 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 7*v**2 + 2*v**2 + (-3*v + 0*v + 4*v)*(-5*v - v + 0*v) + (167 - 167 + 23*v)*(-3*v - 3*v + 5*v))*(-v**2 + 0*v**2 + 0*v**2).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w**3 + 21*w**2 - 21*w + 21. Let r(b) be the first derivative of -b**4\/4 + 2*b**3\/3 - b**2 + 2*b + 4211. What is 2*c(n) - 21*r(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*b**3 - 47820*b**2 + 38304*b - 7664 = 0. What is b?\nAnswer: -479, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 307294 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 63\/35*5\/3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1464)\/16)\/183 - (-95)\/(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*t**4 - 4)*((-4 + 1 + 6)*(3 + 2*t - 3) - 3*t - 12*t - 8*t)*(-1 - 1 + 4).\nAnswer: -68*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 - 3 = 0. Suppose -11 = r - 5*h, 0 = 3*r + 3*h - 4*h - 9. Suppose r*k = 2*k + u. Let l(n) = 5*n + 1. Give l(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p - 9. Suppose 9*n = 7*n - 10. Let c(x) = -4*x + 9. Let f(j) = n*h(j) - 4*c(j). Calculate f(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64539 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14223928 is divided by 153.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**3 + 3*g + 6*g**2 - 9\/2 - 3\/2*g**4 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -11, 4, -3, 0.3, -6.49?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23117, -184826, -623735, -1478444, -2887553, -4989662?\nAnswer: -7923371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j**(-1))\/j)\/(j**13\/j))\/(j\/j**(3\/2))**(-1\/36) assuming j is positive.\nAnswer: j**(-865\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.29042 + -0.29042. Suppose -3*f = -0 - 6. Suppose 0*z + 5*z = 4*g - 153, 60 = -f*z + 2*g. Which is the second smallest value? (a) 0.1 (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Let j(i) = -i**2. What is j(q(s))?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 62200.009 to the nearest one hundred.\nAnswer: 62200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 6*g**2 - g - 11. Calculate s(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 157152 and 15538404?\nAnswer: 124307232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 3. Let v be r(-5). Let n(b) = b - 5. Let m be n(v). Solve 0*o - m*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-76)\/6 - 2\/6. Let m = f + 40. What are the prime factors of (m\/1)\/3 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102201101121 (base 3) to base 11\nAnswer: -148322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.07.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.13. Let y = 0.03 + x. Let k = -1.16 + y. Round k to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37 and 344.\nAnswer: 12728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/3 (b) -0.3 (c) 2 (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-13)\/(-26))\/((-1)\/(-44)). Let l be ((-7)\/(-5) - 6\/15)*3. Suppose -s - 56 = -l*a. Calculate the remainder when a is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -622.3 * -1661\nAnswer: 1033640.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(2\/39)))**32 assuming n is positive.\nAnswer: n**(-64\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - -2 - (-4)\/(-2). Suppose 2*f + 2*f = -h - 29, -3*h = -3*f - 18. Let p be (f\/(-35))\/(4\/(-5)). Which is the nearest to p? (a) -2 (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1827 and 6003.\nAnswer: 42021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 - (6 - 17 - 14).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 16. Let a be g(-3). Let v(m) = -2*m**3 - 4*m**2 + 2*m - 8. Is v(a) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4.9, 0.5, 0 in increasing order.\nAnswer: 0, 0.5, 1, 4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7359\/17 - -433. Which is the closest to o? (a) 2 (b) -2\/17 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31 - -616?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003521 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3835.9 to the nearest 10.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 748\/(-16) - 2\/(-8). Let n = b + -50. Which is smaller: 16 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615069843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uujuuuujuujjuuuuuuu?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5*(sqrt(500) + 0))**2 + -3 + ((sqrt(135) - (sqrt(135) + sqrt(135)*-2))\/sqrt(3) + sqrt(180) + sqrt(180) + sqrt(180)*2)**2).\nAnswer: 33994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 - 9*y**2 - 7*y**2 in the form o + p*y**2 + j*y and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -4 - 2\/(-6*1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3289161 to the power of 1\/2, to the nearest integer?\nAnswer: 1814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2189 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*v)*(-10*v + 3*v - 5*v + (1 + 21*v - 1)*(-3 + 0 + 5)).\nAnswer: -90*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 4, a: 5, z: 8}. Give prob of picking 2 t.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/67)\/q*q\/(((q\/(q*q**(2\/17)))\/q)\/q))\/(q\/(q*q*q\/(q\/(q*q**(-18)))*q))**(-40))**10 assuming q is positive.\nAnswer: q**(6857780\/1139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 23 - 2*d + 17 + 6.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 2\/2)\/1. Let m be 60\/(-2 + -8) + 32. Suppose -2*k - m = -j*k. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210473174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 85*w**2 - 123*w - 565. What is the hundreds digit of j(56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2437 divided by -1.\nAnswer: 2437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 122450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000418941 rounded to six dps?\nAnswer: -0.000419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -312 <= -17108\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19844 - 19869.866. Let f = n - 0.134. Which is the third smallest value? (a) 2 (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 8:03 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 5:01 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**4\/12 + 8*s**2. Let k(t) be the first derivative of 0*t + 1 + 1\/3*t**3 + 0*t**2. Calculate r(k(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 17*k - 11. Let d be c(-16). Suppose j - d = -0*j. Solve j*v - 11 = 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 2593392?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -267251?\nAnswer: -267251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 619.\nAnswer: 4\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12445 is divided by 1129.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1053.4907 to the nearest integer.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121 - 211?\nAnswer: -11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*i - 88*i + 192*i - 13*i**2 to y + w*i**2 + d*i and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -20, -41, -78, -137, -224, -345, -506?\n\"Answer: -s**3 + s**2 - 7*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 5*v**2 + 18884*v - 75593. Determine o(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**9*f)\/((f*f**(-7))\/f*f))**(-27\/2)*(f*f**(-5)*f*f**(-1\/3))**(-35) assuming f is positive.\nAnswer: f**(-298\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/170910 and -139\/198.\nAnswer: 1880010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.015 (b) -0.2 (c) 5 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4*v\/((v*v\/(v*v\/v**(-1\/5)))\/v))\/(v**(1\/3)\/v**(2\/23)))**47 assuming v is positive.\nAnswer: v**(96538\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 0 - 1\/24*y**4 - 1\/30*y**5 + 7*y + 1\/6*y**3 - 5\/2*y**2. Let t(d) be the first derivative of j(d). Give t(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*n - 2064 = 0. Is 30 a factor of (n\/(-30))\/((-2)\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 30*g - 83. Determine z(0).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-756 - 479 + 246)*(-2*n - 3 + 3).\nAnswer: 1978*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from {h: 3, l: 5, z: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -26*r + 0*r**4 + 1\/12*r**5 - 2*r**2 + 0 + 0*r**3. Let o(t) = -5*t**2. Determine o(a(v)).\nAnswer: -125*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3543, 28779, 97393, 231069, 451491, 780343, 1239309?\nAnswer: 1850073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 6. Let y be l(-2). Let t be (-6)\/8*y\/33. Which is the third biggest value? (a) 2 (b) -0.5 (c) t (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/286*8\/6*3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7663 and 3298.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3194307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3448866 or -3448867?\nAnswer: -3448866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23785, -92899, -207341, -367111, -572209, -822635, -1118389?\n\"Answer: -22664*k**2 - 1122*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*y**3 - 45*y**3 + 54*y**2 + 123*y**3 wrt y?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10041121 + 0?\nAnswer: -10041121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2909471 to the nearest one thousand.\nAnswer: 2909000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 254*g + 0 + 256*g.\nAnswer: 2*g - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -1908424.\nAnswer: -1908423.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 392 = 4*b, 3*b - 22 + 10 = 0. Calculate the remainder when j is divided by 55.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1386*j + 377*j + 1672*j - 19*j + 870*j.\nAnswer: 4286*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -2\/11 (b) -2 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7733, -7721, -7701, -7673, -7637, -7593, -7541?\nAnswer: -7481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w + 0*w)*(0*w**2 - 14*w**2 + w**2)*(11*w**2 - 455*w + 445*w + 5*w**2).\nAnswer: -208*w**5 + 130*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6*c - 7 = 0. Suppose -8*o - c*o = -60. Solve y = -o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 3*v**2 - 2*v. Let m be q(-4). Suppose -2*a + m = 2*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r - 15. What is a(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22255061\/1187 - 18749. Let o = 1205\/10683 + x. What is the smallest value in 5, o, 2, 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 5*t + 2. Let f be s(5). Let k = -2 + f. Let i be 25 + 0\/(k - -1). What is the highest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -528 + 6c4?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20246377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 17*n + 76. Let i be q(10). Let z(r) = 4*r + 2. Let f(b) be the third derivative of b**4\/24 - b**2. Calculate i*f(s) - z(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**4 - 3*d**4 + 0*d**4)*(3 - 3 - 2 + (1 + 2 - 5)*(3 - 3 + 2) + 6 - 2 - 3 - 5 + 3 + 1).\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 3. Let w be a(3). Suppose w*t - 22 = -2*t. Solve 4*v - u + 1 = -9, 3*v + u + t = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8 = 2*z, -3*s - 2*s + z - 14 = 0. Is 15 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 7 = b, b + n - 3 = -n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**4\/3 + 101*m**3 + 19538*m**2\/3 + 18208*m - 74464\/3 = 0?\nAnswer: -52, -4, 1, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 153450 divided by 51150?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*s + 30 = 0, -27 = -m + 5*s - 5. Solve -b - b = m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-11 + 2 - 1) - -3) + (20 - 54)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 7 + 13 = -4*n, -3*n + 47 = -4*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1260329350.\nAnswer: 2, 5, 7, 3600941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -498768555?\nAnswer: -498768554.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1587 is divided by 366.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4531, -17898, -40113, -71176?\nAnswer: -111087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 0*n + 15. Suppose 0 = 7*m + 3 - 3. Solve m = -s + n*s - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -902 (b) 0 (c) 2\/15 (d) 30 (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*v - 0*v. Suppose 3*k + k = 4. Let u be -2*(-2 + 3)\/k. Put u, v, 3 in ascending order.\nAnswer: v, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7759 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 divided by 74.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-8)*60\/(-45). Suppose 660 = b*f - 0*f. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 34?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = p - 15. Solve 0 = -3*o - 2*s - 5, 3*o + 2*o + 45 = p*s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -13 + 12*o + 4*o - 3*o - o**2. Let i be 2\/(1 + (-12)\/15). Is h(i) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 9. Suppose 4 - 29 = -5*m - 5*f, 2*f = -5*m + 22. Let j = m + c. Solve n = -j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - u - 5 = 4*u, -2 = -2*y + 2*u. Solve y = 5*i - 3 - 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2. Let w(x) = -9713522*x. Calculate o(w(f)).\nAnswer: 188705019288968*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -150\/13? (a) -199 (b) -64 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 11 + 16 = 0. Let y = 0 - j. Suppose -4*a + y*a - 5 = 0. Solve -2 = i + a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0950295ml in litres?\nAnswer: 0.0000950295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*k**4 + 3*k**4 - k**4 + 5*k**4 + 26 wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0 - 41*o**2 + 39*o**2 - 9 + o.\nAnswer: -2*o**2 + o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/s**(-19))\/s)*(s**(4\/11)*s)\/s)\/((s*(s\/(s\/(s*s**(-28))))\/s)\/s**(12\/5)) assuming s is positive.\nAnswer: s**(647\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 12*j - 3*m = 2674, -4*m + 12 = 0. What are the prime factors of j?\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2 - (-37 - -50).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*i - 26. Let g(h) be the second derivative of -h**6\/120 + h**5\/24 - h**4\/4 - 4*h. Let t(a) be the third derivative of g(a). What is t(i)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*d + 3. Let t(s) be the first derivative of s**3 - s**2\/2 - 6*s + 81. Does 4 divide t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (261*k + 257*k - 518*k - 861*k**2)*(-k + 1 - 1).\nAnswer: 861*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3811, -4055, -4461, -5029, -5759, -6651?\n\"Answer: -81*g**2 - g - 3729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 134*p**2 - 1986*p - 346. Give s(117).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 4*h + 3*w + 161, -3*h = 2*w - 125. Suppose -h*a + 36*a + 1580 = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 - ((-131 - (-132 - 8)) + -1 + -22).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m - 9540 = -5*g, 4*g + 5*m - 7614 = 0. Let k be (3*(-4)\/9)\/(2\/(-3)). Suppose 0 = k*l - 0*l - g. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.28 + 1.18. Is -18 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 79\/(-9) + 8\/(-36). Let y(v) = -v + 9. What is the remainder when y(u) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 4. Let s be l\/18 - (-34)\/9. Let k(f) = f. What are the prime factors of k(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 11:15 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 (base 14) in base 6?\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -67, -3, -0.5, -1 in ascending order.\nAnswer: -67, -3, -1, -0.5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/l)\/l**(-3))\/((l**(-4)*l)\/(l\/(l\/l**(3\/4))*l*l)) assuming l is positive.\nAnswer: l**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 - -74.6. Let a = 72.50656 - -0.55144. Let y = a - f. Round y to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -3*s**2 + 0*s**3 - 1\/24*s**4 + 0*s - 1\/168*s**8 + 0*s**7 + 0*s**5 + 0*s**6 + 0. Find the second derivative of c(o) wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -5. Let w = -13 + 10. Sort w, 4\/9, u in ascending order.\nAnswer: w, u, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -26. Solve 5*q + 35 = -3*c, -c - 2*q - d = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10956481\/259940 - 1\/25994. Let f = 7\/20 + g. Find the common denominator of 2\/7 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228370 + -0.008.\nAnswer: -228370.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 - -69053.85?\nAnswer: 69053.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c6 - -18?\nAnswer: -2ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 1289540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r**2 - 448*r - 12553. Let z(s) = -108*s**2 - 4928*s - 138080. Let j(b) = 32*h(b) - 3*z(b). Factor j(k).\nAnswer: 4*(k + 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -104f98 - 1?\nAnswer: -104f99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -160, -148, -136, -124?\n\"Answer: 12*u - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12531 is divided by 95?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.92 + 36.72. Let y = b - 39.785. Let g = -6 - y. Round g to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*m + 17 + 13, 2*l + m = -9. Let f(n) be the third derivative of n**5\/30 + n**4\/8 - 5*n**3\/6 + n**2. Is f(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1071 - 6592 - 2742 - 5764 + 3615*c**3 + 513*c**3 wrt c?\nAnswer: 12384*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 152\/32 + (-4)\/(-16). Suppose 6*a - w - 1885 = a, 0 = l*w. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**4\/4 + 5*m**3\/3 + m**2 + 4*m - 2. Let w = -151 + 146. Give r(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*w - 50, 0 = -1452*f + 1449*f + 2*w + 28 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 3\/15)*1010.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100122120200 - 13023?\nAnswer: -100122133223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/2588960?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2*w - 0*w - 32, -2*m = -4*w - 4. Let x be ((-2)\/m)\/(3\/54). Suppose -y = -4*u + 4, -2*y + x*y + 3*u = 22. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8d (base 14) to base 5.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 2*q + 888. Let g = -157 + q. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2263 is divided by 315?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 304286973 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 176\/30 + (-6)\/(-45). Find the third derivative of -3*c**2 - 3*c**2 - c**2 - c**h wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-10))\/u*u*u)\/u*u**(-26))**(-22) assuming u is positive.\nAnswer: u**330","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 6*g + 266160 = 5*g. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -5*x**6\/6 + 2*x**5 + 45*x**4\/4 - 70*x**3\/3 - 50*x**2 + 120*x + 348. Solve h(s) = 0.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((560\/45)\/(-28))\/(3\/(-9)*1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4\/3 (b) -0.05 (c) 1\/8 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52576 + 87582. Suppose -n = 2*g + l, -5*n - 174988 = -0*n - 4*g. Round n to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13509*d*l**3 + 17880*d*l*q - 676435*d*q - 2*d + 5*q wrt l.\nAnswer: 40527*d*l**2 + 17880*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + s - 9. Let o be r(0). Let q be o*20\/(-12)*1. Suppose 2*h - 23 = q. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 3168046.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21962, -21969, -21976, -21983, -21990?\n\"Answer: -7*a - 21955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.044 + 8.356. Let n = g + -8. Let y = 6 - 12. Which is the fourth biggest value? (a) 1\/9 (b) 2\/9 (c) n (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(15\/4))\/2. Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.65 in -14.3, 2\/53, -2?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.14054 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 90*30\/(-810)*(-72)\/10\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**5\/10 + g**4 - 7*g**3\/6 + 83. Factor f(l).\nAnswer: -l**2*(l - 7)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8523 is divided by 108.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2030*q - 1878. Let g be z(1). What is the highest common divisor of g and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - 9*o**3 - 4*o**3 + (-2*o**2 + o**2 - o**2)*(3*o - 3*o - 2*o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 37. What is the common denominator of 49\/3 and (c\/(-10))\/(6315\/2125 - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5488915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5 = 5*s, -m + 7*s + 1 = 4*s. Suppose -4 = k + 2*b, b + 0*b = -2*k + m. Solve -k*h + 7 = d, d - 6 + 4 = -h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**2\/2 + 196. Let v be 137 - (-4 + 2 + 0). Let h(m) = -24*m + 139 - v. Determine x(h(t)).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z + 5. Is 9 a factor of v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhyyyhhyh. Give prob of sequence hy.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-1 - -1))*4. What is the common denominator of 3\/(-4)*328\/d and 25\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22112 (base 3) in base 13?\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3 - 2*d**3 + 2*d - 3*d - 1 + 2*d**2. Let i be (-2 - (-3 + 3))\/(-1). Calculate b(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -466 (base 7) to base 6.\nAnswer: -1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -1.849.\nAnswer: 0.3698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -39*u + 4. Let i be o(-5). Suppose 2*v - 3*l - 67 = 0, 3*l - i = -6*v + v. What is the remainder when v is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjbjjsjrsx. What is prob of picking 1 x and 1 s?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -33*a + 130 - 437 + 57*a. Let v be g(13). Let u(k) = k. Let q(t) = -8*t + 1. Give v*u(j) + q(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150 - 151. Let i(k) = -k**4 + k**3 - k**2 - k. Let r(t) = 77*t**4 - 2*t**3 + 2*t**2 + 2*t - 53. Let l(y) = f*r(y) - 2*i(y). Differentiate l(u) wrt u.\nAnswer: -300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**3\/x)\/x)**(7\/10) assuming x is positive.\nAnswer: x**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7 + -149)\/(-2 - -1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*b**2 - 8024277*b + 8024262.\nAnswer: 3*(b - 1)*(5*b - 2674754)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.14 rounded to zero decimal places?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 13799593.\nAnswer: -1379959.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 13. What is the derivative of y*v**2 - 2*v**2 + 0 - 1 wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**5\/150 - f**4\/12 + 4*f**3\/15 + 2*f**2. What is n in l(n) = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 9.4 (c) -2\/9 (d) 13646 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 185 + -576. Let q = g - -1961\/5. Let w be (-1)\/1*(-3 + 3). Is w <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62*l**2 + 62*l**2 - 6 - 2*l**3 wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 10 = -6*v. Let z = -35 + 84. Suppose 5*u = -z - 11. Let n(j) = 6*j**2 + 5*j. Let q(b) = 15*b**2 + 12*b. Determine u*n(y) + v*q(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d**3 - 71*d. Let w(m) = -10*m**3 - 144*m. Calculate -5*p(j) + 2*w(j).\nAnswer: 5*j**3 + 67*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m - 3*m)*(-3 + 4 - 2) - m + 3*m + m + (0 - 5 + 3)*(0*m - 2*m - 2*m) + 295 - 146 - 151 + 54*m.\nAnswer: 68*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8149 (base 11) to base 14\nAnswer: 3d30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q + 11. Let d = 16 - 7. Let j(k) = k**3 - 15*k**2 + 4*k - 20. Let s be j(15). Let a = s + -36. Let v(z) = -2*z - 5. Determine a*b(g) + d*v(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e - -545de?\nAnswer: 545c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (62 + (1 - 1))*2. Suppose 5*i - r - 946 = 0, -9172 + 8306 = -5*i - 4*r. Calculate the highest common factor of a and i.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-10))\/((-4)\/20). Let c be 3\/(-2)*(-2)\/(-1). Let p(l) = 5*l**2 + 9*l + 4. Let m(w) = 4*w**2 + 8*w + 4. Let n(t) = c*p(t) + 4*m(t). What is n(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/7, -0.4, 0.11?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(896\/28))\/(4\/(-6))*8\/726\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 2. Let a be y(-7). Let i be 4\/10 - a\/75. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*s + 17*s + 30*s)*(5*s + 5*s**2 - 5*s) to the form k*s + v + j*s**3 + m*s**2 and give j.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**16\/(u\/(u\/(u**(3\/11)*u))))**(4\/3) assuming u is positive.\nAnswer: u**(216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 7*u - 9. Let b be z(-7). Suppose 0 = -5*q + 5*h + 55 + 15, -q = h - 18. Let t = b + q. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86815687?\nAnswer: 7, 12402241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -193992852*v**2 + 112525362.\nAnswer: -387985704*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 895 divide 32762370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-88)\/(-3) - 6\/(-9). Let w = -21 + f. Let y be 3*1\/(w\/(-6)). Sort y, -1, -4.\nAnswer: -4, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, -46, -202, -482, -922, -1558, -2426?\nAnswer: -3562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-15)*5*-1. Let h = -91697.9 + 91698.6. Which is the closest to w? (a) 0.4 (b) -1 (c) 4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 212 + 420?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 516*a**2*i*v**2 + 16*a**2*i - a*i*v - 2*a*v**2 - 791*a wrt a.\nAnswer: 1032*i*v**2 + 32*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5 - 232*l**4 + 940*l**3 - 944*l**2 = 0. Calculate l.\nAnswer: -236, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1776)\/(-2072))\/((1\/7)\/(-1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13103 - -19885. Let q = -54151\/8 + s. Is q greater than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 0 + 0)*(2 - 2 + 3) - 4*x + 4*x - x - 1 + x + 1 + (3*x - 5*x + 4*x)*(2 - 2 - 1) - 3*x + 2*x - x to the form d*x + q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v - 381 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -492, -3460, -8922, -16884, -27352, -40332, -55830?\n\"Answer: -n**3 - 1241*n**2 + 762*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 2, 28368, 61.\nAnswer: -3, -1, 2, 61, 28368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((-2*sqrt(180) + sqrt(180))\/sqrt(4))\/sqrt(3))\/(sqrt(363)*-1 - (sqrt(54) - sqrt(6))\/sqrt(2)))**2.\nAnswer: 45\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64094 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585a895 (base 11) to base 15.\nAnswer: d72385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99120709 to the power of 1\/2, to the nearest integer?\nAnswer: 9956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0.5, -3\/7, 4, -19\/6 in descending order.\nAnswer: 4, 0.5, -3\/7, -19\/6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 219 = -4*g, 0 = -2*s + 4*g - 0*g + 126. List the prime factors of s.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137 - 78. Let b = -54 + k. Sort b, 0.1, -1\/17 in descending order.\nAnswer: b, 0.1, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19968 - 1884 = 822*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50300)\/(-6539))\/(36\/(-26))*(-12)\/(-20).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*s. Suppose -4*w + s*w = -540. Suppose -c = -334 - w. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q - 139. Calculate c(-18).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000382929 to 6 decimal places.\nAnswer: 0.000383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1749 times 956\nAnswer: -1672044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*r - 13*r + 179*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -4\/5 (c) 0.32 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 2 (b) -305 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/9 - 1286*u\/3 + 3856\/9 = 0.\nAnswer: 1, 1928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 6 - 1 + 6*j**2 - 3*j + 4*j**2 + 4*j. Let d be u(10). Suppose 0 = 3*r - 34 + 19. Solve -4*o = 4*v - 8 - 4, d*o = -5*v + r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0, -0.06, -5.456?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1070 - 1066. Let b = -17.8 + 18. What is the smallest value in -0.2, 1\/4, b, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 555, -38, 6, 0, 0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3429 and -3413 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrijirwwwrurriw. Give prob of picking 1 j, 1 u, and 1 i.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2. Let h be v(-2). Suppose 4*f - 16 = h*t, 2*f = 5*t + f. Let x be t\/(-2) - (-5)\/6. What is the closest to x in -2, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 165 + 63 = 0. Suppose 3*o + 5 = -5*c + k, -4*o - 2*c + 14 = 0. Suppose -o*d - b + 2369 = -5*b, -4*b = 3*d - 2353. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.8 * -138\nAnswer: 386.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 + 82.3. Let u = 1.8 - 0.6. Let l = i + u. What is the nearest to -0.05 in 4, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7387*z**2. Let o(w) = -330*w + w**2 - 337*w + 667*w. Determine o(r(u)).\nAnswer: 54567769*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p. Let x(z) = -z + 9. Determine -2*i(c) - x(c).\nAnswer: 3*c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 + 11010000001100001110?\nAnswer: 11010000001100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101630308168 less than -4?\nAnswer: -101630308172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175938347 divided by 712301.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*r + 20 = 11, 0 = -4*w + 3*r + 15. Solve -3*h - 2*z - 11 = 0, w*h = -0*h + z - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82279?\nAnswer: 82279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -50.6. Let y(n) = -n**2 + 7*n - 2. Let i be y(6). Let b = 1.97 + 0.03. What is the third smallest value in b, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2 = -3*l, -3 + 2 = -3*r - 4*l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 28*r + 1. Let c(q) be the first derivative of -55*q**2\/2 - 3*q + 8875. Determine -3*c(f) - 7*o(f).\nAnswer: -31*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/23524535 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118012 and 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13030516?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 416*a**2*l**4*r - 39*a**2 + 2*a*l**4 - 90*r with respect to l.\nAnswer: 1664*a**2*l**3*r + 8*a*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5*l + 32. Let t(z) = -z**3 + 5*z**2 - z - 1. Let x be t(l). What is the greatest common factor of 22 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) - (-183)\/6. What is the smallest common multiple of 4 and 12\/((-6)\/r*-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 288 = m. Suppose 0 = -3*o + 4*x + 5, -x - 3*x = o - 7. Suppose 4*r - 3*z - 51 = -2*z, o*z + 9 = 0. What is the highest common factor of r and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 11*r**6\/60 - 19*r**5\/30 - 7*r**4\/6 + 16*r**3\/3 + 315*r**2 - 1. Factor f(n).\nAnswer: 2*(n - 2)*(n + 1)*(11*n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 361, 774, 1181, 1582?\n\"Answer: -3*c**2 + 422*c - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}